---
type: Whitepaper
title: "Beauty and the Beast: Diverting Modern Web Browsers to Build Unique Browser Fingerprints"
description: A study of browser fingerprinting built on 118,934 real fingerprints gathered through AmIUnique, covering 17 attributes reachable from modern web APIs. It shows HTML5 canvas and WebGL rendering differences are highly discriminating, and that mobile devices are as identifiable as desktops, letting a site re-identify and track visitors without setting any cookie.
resource: "https://www.ieee-security.org/TC/SP2016/papers/0824a878.pdf"
tags: [whitepaper, webseclist-reference, info-leak, javascript, measurement-study, large-scale-scan, dom, http, defence]
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    resource: "https://www.ieee-security.org/TC/SP2016/papers/0824a878.pdf"
    title: "Beauty and the Beast: Diverting Modern Web Browsers to Build Unique Browser Fingerprints"
    author: Pierre Laperdrix, Walter Rudametkin, Benoit Baudry
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authors:
  - Pierre Laperdrix
  - Walter Rudametkin
  - Benoit Baudry
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# Beauty and the Beast: Diverting Modern Web Browsers to Build Unique Browser Fingerprints

**Beauty and the Beast: Diverting Modern Web Browsers to Build Unique Browser Fingerprints** - Pierre Laperdrix, Walter Rudametkin, Benoit Baudry, Publisher not stated.

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## Content

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2016 IEEE Symposium on Security and Privacy




             Beauty and the Beast: Diverting modern web
             browsers to build unique browser ﬁngerprints
                       Pierre Laperdrix                            Walter Rudametkin                             Benoit Baudry
                   INSA-Rennes & INRIA                         University of Lille & INRIA                            INRIA
                         Rennes, France                                 Lille, France                            Rennes, France
                pierre.laperdrix@insa-rennes.fr               walter.rudametkin@univ-lille1.fr                benoit.baudry@inria.fr



     Abstract—Worldwide, the number of people and the time spent               concerned web user’s are becoming more aware of certain
  browsing the web keeps increasing. Accordingly, the technologies             practices that jeopardize their privacy and comfort, as can be
  to enrich the user experience are evolving at an amazing pace.               seen by the immense popularity of browser extensions like
  Many of these evolutions provide for a more interactive web (e.g.,
  boom of JavaScript libraries, weekly innovations in HTML5), a                AdBlock, Ghostery, Disconnect and many others.
  more available web (e.g., explosion of mobile devices), a more                  Browsers are our gateway to the web. And to provide rich,
  secure web (e.g., Flash is disappearing, NPAPI plugins are being             satisfying and beautiful services, websites require knowledge
  deprecated), and a more private web (e.g., increased legislation             about the browser and its environment. Through the differ-
  against cookies, huge success of extensions such as Ghostery and             ent APIs and technologies that have been created, modern
  AdBlock).
     Nevertheless, modern browser technologies, which provide the
                                                                               browsers freely provide websites with detailed information
  beauty and power of the web, also provide a darker side, a rich              regarding the hardware and software conﬁguration, allowing
  ecosystem of exploitable data that can be used to build unique               websites to better exploit the user’s resources. Well behaving
  browser ﬁngerprints.                                                         websites only ask for what is needed to provide their beautiful
     Our work explores the validity of browser ﬁngerprinting in                services, but the beast is hiding in the bushes, small differences
  today’s environment. Over the past year, we have collected
                                                                               between users’ systems can be exploited by attackers by asking
  118,934 ﬁngerprints composed of 17 attributes gathered thanks
  to the most recent web technologies. We show that innovations                for as much information as possible.
  in HTML5 provide access to highly discriminating attributes,                    Browser ﬁngerprinting consists in collecting data regarding
  notably with the use of the Canvas API which relies on multiple              the conﬁguration of a user’s browser and system when this user
  layers of the user’s system. In addition, we show that browser               visits a website. This process can reveal a surprising amount of
  ﬁngerprinting is as effective on mobile devices as it is on desktops
                                                                               information about a user’s software and hardware environment,
  and laptops, albeit for radically different reasons due to their
  more constrained hardware and software environments. We also                 and can ultimately be used to construct a unique identiﬁer,
  evaluate how browser ﬁngerprinting could stop being a threat                 called a browser ﬁngerprint. The privacy implications are
  to user privacy if some technological evolutions continue (e.g.,             important because these ﬁngerprints can then be used to
  disappearance of plugins) or are embraced by browser vendors                 track users. This threat to privacy is extremely serious as
  (e.g., standard HTTP headers).
                                                                               assessed by the recent studies of Nikiforakis et al. [1] or
     Index Terms—browser ﬁngerprinting; privacy; software diver-
  sity                                                                         of Acar et al. [2] that show the wide adoption of browser
                                                                               ﬁngerprinting. Meanwhile, large companies such as Google
                                                                               implicitly announce its adoption (e.g., Google’s privacy policy
                           I. I NTRODUCTION
                                                                               update of June 2015 indicates that they use “technologies to
     The world wide web has revolutionized communication in                    identify your browser or device” [3], which can be interpreted
  just a few decades. The number of users and the time spent on                as the inclusion of browser ﬁngerprinting in their identiﬁcation
  the web is constantly growing. Accordingly, the technologies                 technologies).
  to enrich the user experience are evolving at an amazing                        Our work provides an in-depth analysis of the extent to
  pace. Each technology has its purpose. Modern Javascript                     which today’s web provides an effective means to uniquely
  libraries allow creating ever more dynamic and interactive web               identify users through browser ﬁngerprinting. This analysis
  applications. Users are bringing the web with them, wherever                 relies on more than 118,000 ﬁngerprints, which we collected
  they go, by means of mobile devices such as cellphones and                   through the AmIUnique.org website. The ﬁngerprints are rich
  tablets. Browser and protocol speciﬁcations, such as HTML5,                  and include the values of 17 attributes. We access some of
  are redeﬁning the limits of what web applications can do. The                these attributes thanks to the most recent web technologies,
  browsers themselves are rapidly changing and have become                     such as, the HTML5 canvas element (as initially suggested
  competitive testing grounds for numerous new technologies.                   by Mowery and colleagues [4]), as well as through the
  Surprisingly, what were once ubiquitous technologies, such                   WebGL API. These ﬁngerprints reveal detailed information
  as the Flash, Silverlight, QuickTime, and Java plugins, are                  about a browser and its software and hardware environment.
  quickly becoming relics of the past. At the same time,                       We show that innovations in HTML5 provide access to highly

© 2016, Pierre$31.00
2375-1207/16   Laperdrix.
                     © 2016
                          Under
                             IEEE
                                license to IEEE.                         878
DOI 10.1109/SP.2016.57
discriminating data. In addition, we provide the ﬁrst extensive           section VII concludes this paper.
study about browser ﬁngerprinting on mobile devices, which
are quickly becoming the main platform for browsing the                                             II. DATASET
web [5]. Through empirical evidence, we show that browser                    We launched the AmIUnique.org website in November 2014
ﬁngerprinting is effective on mobile devices despite having               to collect browser ﬁngerprints with the aim of performing an
software environments that are much more constrained than                 in-depth analysis of their diversity. The ﬁrst part of this section
on desktops and laptops. In fact, the discriminating attributes           presents the set of attributes that we collect in our browser
for mobile devices differ greatly from their desktop and laptop           ﬁngerprinting script and the technique we use to collect them.
counterparts.                                                             Then, we give a few general descriptive statistics about the
   Our empirical observations indicate that, while recent web             118,934 ﬁngerprints that serve as our dataset. We ﬁnish this
technologies enrich the user experience, they also provide                section with a series of tests to compare our dataset with the
access to a wide range of information that are easily combined            only other available set of ﬁngerprint statistics, provided by
into a ﬁngerprint that is most likely unique. The tension                 Eckersley in 2010 [7].
between the comfort of web browsing and the will to remain
                                                                          A. AmIUnique.org
anonymous is currently clearly in favor of comfort, to the detri-
ment of privacy. Yet, the disappearance of severely discrim-                 1) Fingerprinting script: We implemented a browser ﬁn-
inating attributes on desktops (e.g. obtained through Flash),             gerprinting script that exploits state-of-the-art techniques [4],
and the absence of such attributes on mobile devices, allows              [6] as well as some new browser APIs. The complete list of
us to believe it is possible to improve privacy and anonymity             attributes is given in the ‘Attribute’ column of Table I. The
on the web while still retaining a modern and comfortable web             ‘Source’ column indicates the origin of each attribute (HTTP,
experience. We speculate on possible technological evolutions             JavaScript or Flash). The ‘Distinct values’ and ‘Unique values’
in web browsers and we calculate their impact on browser                  columns give a global overview of the most discriminating
ﬁngerprinting. Our scenarios range from the deﬁnitive death               attributes in a ﬁngerprint. Finally, the last column displays
of Flash (49% of the visitors on AmIUnique.org had Flash                  a complete example of a browser ﬁngerprint. The top 10
disabled), to the premature disappearance of JavaScript .                 attributes have been presented by Eckersley. Most of the 7
We show that minor changes in web technologies would                      attributes at the bottom of the table have been discussed in
have a major effect on the identiﬁcation capacity of browser              other works. Yet, we are the ﬁrst to collect them on a large
ﬁngerprinting.                                                            scale basis and to combine them as part of a ﬁngerprint. We
   Our key contributions are:                                             detail these 7 attributes below
                                                                             • List of HTTP headers: When connecting to a server,
  • We provide a 17-attribute ﬁngerprinting script that uses                    browsers send the user-agent, the desired language for a
    modern web technologies.                                                    webpage, the type of encoding supported by the browser,
  • We perform the ﬁrst large-scale study of Canvas ﬁnger-
                                                                                among other headers. Some software and browser exten-
    printing by following a test reported by Acar et al. [6]                    sions modify or add headers, giving extra details about
    along with other JavaScript attributes. We show that                        the device’s conﬁguration. Being deﬁned in the HTTP
    canvas ﬁngerprinting is one of the most discriminating                      protocol, these headers can always be acquired by the
    attributes.                                                                 server and do not depend on JavaScript.
  • We demonstrate the effectiveness of mobile device ﬁnger-
                                                                             • Platform: The value in the “navigator.platform" property
    printing with 81% of unique mobile ﬁngerprints in our                       provides information about the user’s operating system.
    dataset despite the lack of plugins and fonts. We show                      While this information is already in the user-agent, we
    that the wealth of mobile models (different vendors with                    collect the ‘platform’ value to detect modiﬁed or incon-
    different ﬁrmware versions) result in very rich user-agents                 sistent ﬁngerprints, e.g., in case the returned value is
    and very revealing canvas usage.                                            different from the one in the user-agent.
  • We explore scenarios of possible technological evolutions
                                                                             • Do Not Track/Use of an ad blocker: These two attributes
    to improve privacy, and we simulate their impact on                         are directly related to privacy and the values can help us
    browser ﬁngerprinting using our dataset. Notably, we                        differentiate privacy-conscious users from others.
    ﬁnd out that removing plugins and having generic HTTP                    • WebGL Vendor and Renderer: Described by Mowery et
    headers could reduce desktop ﬁngerprint’s uniqueness by                     al. [4], these two attributes were added with the HTML
    a very strong 36%.                                                          WebGL API to give information on the underlying GPU
   The paper is organized as follows. Section II describes our                  of the device. We provide extensive details about the
script and provides descriptive statistics about our dataset.                   contents of these attributes in section III.
Section III investigates the impact of the most recent tech-                 • Canvas: Introduced by Acar et al. [6] and fully explained
nology on ﬁngerprint diversity and section IV details the                       in section III-A, the HTML5 Canvas element gives us
analysis of mobile ﬁngerprint diversity. Section V evaluates                    the ability to perform tests on both the hardware and
the impact of possible future scenarios on ﬁngerprint-based                     the operating system by asking the browser to render a
identiﬁcation, section VI discusses the related work while                      picture following a ﬁxed set of instructions.



                                                                    879
                                                                 TABLE I
                                    B ROWSER MEASUREMENTS OF A M IU NIQUE FINGERPRINTS WITH AN EXAMPLE

                                                        Distinct    Unique
           Attribute                    Source                                    Example
                                                        values      values
                                                                                  Mozilla/5.0 (X11; Linux x86_64) AppleWe-
           User agent                   HTTP header     11,237      6,559         bKit/537.36 (KHTML, like Gecko) Chrome/
                                                                                  41.0.2272.118 Safari/537.36
           Accept                       HTTP header     131         62            text/html,application/xhtml+xml,application/xml;q=
                                                                                  0.9,image/webp,*/*;q=0.8
           Content encoding             HTTP header     42          11            gzip, deﬂate, sdch
           Content language             HTTP header     4,694       2,887         en-us,en;q=0.5
                                                                                  Plugin 1: Chrome PDF Viewer. Plugin 2: Chrome
           List of plugins              JavaScript      47,057      39,797        Remote Desktop Viewer. Plugin 3: Native Client.
                                                                                  Plugin 4: Shockwave Flash...
           Cookies enabled              JavaScript      2           0             yes
           Use of local/session stor-
                                        JavaScript      2           0             yes
           age
           Timezone                     JavaScript      55          6             -60 (UTC+1)
           Screen resolution and
                                        JavaScript      2,689       1,666         1920x1200x24
           color depth
           List of fonts                Flash plugin    36,202      31,007        Abyssinica SIL,Aharoni CLM,AR PL UMing
                                                                                  CN,AR PL UMing HK,AR PL UMing TW...
           List of HTTP headers         HTTP headers    1,182       525           Referer X-Forwarded-For Connection Accept Cookie
                                                                                  Accept-Language Accept-Encoding User-Agent Host
           Platform                     JavaScript      187         99            Linux x86_64
           Do Not Track                 JavaScript      7           0             yes

           Canvas                       JavaScript      8,375       5,533

           WebGL Vendor                 JavaScript      26          2             NVIDIA Corporation
           WebGL Renderer               JavaScript      1,732       649           GeForce GTX 650 Ti/PCIe/SSE2
           Use of an ad blocker         JavaScript      2           0             no



   It should be noted that the WebGL Vendor and WebGL                    and they have to explicitly click on a button to trigger the
Renderer attributes were added after our site was launched. We           collection of their device’s ﬁngerprint.
isolated the results obtained from these two attributes (values             When the user initiates the connection to the page that
collected after ﬁngerprint number 45,474).                               contains our ﬁngerprinting script, the server immediately col-
   We tested other attributes for inclusion in the ﬁngerprints,          lects the HTTP headers. Then, if the user has not blocked
but the results were inconclusive and we decided to discard              JavaScript, the browser runs the script that collects the bulk
them. We designed a test that renders 3D volumes through the             of the ﬁngerprint data. If Flash is present, we go one step
WebGL API, as ﬁrst tested by Mowery et al. [4]. However,                 further and collect additional data. Our script takes a few
after an early analysis of more than 40,000 ﬁngerprints, the             hundred milliseconds to create a ﬁngerprint. The contents of
test proved to be too brittle and unreliable since a simple              each ﬁngerprint is dependent on the browser, its conﬁguration,
page reload with a different window size on a single device              and the hardware and software environment it is running in.
could change the value of this test. Appendix B goes into                   We distinguish three main categories of ﬁngerprints in our
more details on this WebGL test. We also tested the collection           dataset: those with JavaScript and Flash activated (43% of
of information based on the device’s hardware performance,               the ﬁngerprints), those with JavaScript activated but not Flash
like the Octane JavaScript benchmark, but they proved to be              (41%), and those with no JavaScript, and hence, no Flash
too long and too intensive to execute. Finally, we included              (16%). Given that our work focuses on ﬁngerprinting modern
other Flash attributes that proved to be useful to detect                browsers and at analyzing the importance of the attributes in
inconsistencies, but did not increase ﬁngerprint uniqueness.             Table I, we do not consider ﬁngerprints with no JavaScript.
More details can be found in Appendix C.                                 Fingerprints without JavaScript only include values for the
   2) Data collection: AmIUnique.org is a website dedicated              HTTP headers (i.e., 5 attributes), which drastically removes
to browser ﬁngerprinting, aimed both at collecting data about            most of the functionality we are studying.
device diversity and at informing users about the privacy                   To prevent collecting multiple copies of the same ﬁngerprint
implications of ﬁngerprinting. All visitors are informed of our          from the same user, we store a cookie on the user’s device with
goal with links to both our privacy policy and FAQ sections,             a unique ID, and we also keep a hashed version of the IP



                                                                   880
address. These two pieces of information allow us to identify                                        TABLE II
                                                                                               S UMMARY OF STATISTICS
returning devices, which represent a negligible part of our
dataset.                                                                   Attr.    Total     <1% FP          <0,1% FP        < 3 FP
   We communicated our website on Slashdot, Framasoft,                     Plugin   2,458     2,383 (97%)     2,195 (89%)     950 (39%)
                                                                           Font     223,498   221,804 (99%)   217,568 (97%)   135,468 (61%)
Clubic, social media channels like Facebook and Twitter, and
                                                                           Header   222       205 (92%)       182 (82%)       92 (41%)
newspapers like Le Monde. As of February 15th, 2015, we
collected 142,023 ﬁngerprints, which were then reduced to
118,934 once we removed the ﬁngerprints without JavaScript                0,1%. A lot of plugins are created for precise and narrow uses
for this study. However, because our website focuses on a very            allowing their users to be easily identiﬁed.
speciﬁc subject, our visitors are likely saavy Internet users who            Fonts: We observed 221,804 different fonts, assembled
are aware of potential online privacy issues. Hence, our data is          in 36,202 different lists of fonts. This really high number
biased towards users who care about privacy and their digital             shows the incredible wealth that exists: fonts for support
footprint, and their devices might have ﬁngerprints different             of an additional alphabet, fonts for web designers, fonts for
than those we could collect from a more general audience.                 drawing shapes and forms, fonts for different languages, etc.
B. Descriptive statistics                                                 On average, a Windows or Mac user has two to three times the
                                                                          amount of fonts of a Linux user. Also, 97% of fonts appear
   Tables I and II summarize the essential descriptive statistics         in less than 0,1% of ﬁngerprints and a little less than 2/3 of
of the AmIUnique dataset. Table II presents the distribution              them are only in one or two ﬁngerprints. These percentages
of plugins, fonts and headers in our dataset. To obtain these             show how efﬁcient a list of fonts can be for ﬁngerprinting and
numbers, we decomposed each list of values into single                    transitively how critical it can be for users who want to protect
elements and we studied how common they are by looking at                 their privacy. However, this list is provided through the Flash
the number of ﬁngerprints in which each element is present.               plugin, which is progressively disappearing from the web. We
We divided the results from the plugins, fonts and headers                will see in section V that removing access to the list of fonts
into three categories: the ones that belong to less than 1%               has a small impact on identiﬁcation.
of collected ﬁngerprints, the ones present in less than 0,1%                 HTTP headers: We observed 222 different HTTP headers,
of ﬁngerprints, and the ones that appear in only one or two               assembled in 1,182 different lists of headers. New headers are
ﬁngerprints.                                                              added to the standardized ones for different reasons and from
   Unique and distinct values: The ‘Distinct values’ column               different sources. Some examples include the following:
in Table I provides the number of different values that we
                                                                             • The browser. For example, the Opera browser on smart-
observed for each attribute, while the ‘Unique values’ column
                                                                                phones adds a X-OperaMin-Phone-UA header, and the
provides the number of values that occurred a single time in
                                                                                Pufﬁn browser adds a X-Pufﬁn-UA header.
our dataset. For example, attributes like the use of cookies or
                                                                             • A browser extension. For example, the FirePHP extension
session storage have no unique values since they are limited to
                                                                                for Firefox adds the x-FirePHP and the x-FirePHP-
“yes” and “no”. Other attributes can virtually take an inﬁnite
                                                                                Version headers to each HTTP request.
number of values. For example, we observed 6,559 unique
                                                                             • The network on which you are connected. Some headers
values for the user-agent attribute. This is due to the many
                                                                                show the use of proxies or protection systems.
possible combinations between the browser, its version and
the operating system of the device. It is extremely likely that           As indicated in Table II, 182 headers out of 222 appear in
visitors who use an exotic OS with a custom browser, such as              less than 0,1% of the collected ﬁngerprints, and 92 of them
Pale Moon on Arch Linux, will present a very rare user-agent,             come from only one or two ﬁngerprints. These statistics mean
thus increasing the likelihood of being identiﬁed with just the           that some HTTP headers are highly discriminating and their
user-agent.                                                               presence greatly affects the uniqueness of one’s ﬁngerprint.
   These numbers show that some attributes are more discrim-              C. Statistical validity of the dataset
inating than others, but they all contribute to building a unique
and coherent ﬁngerprint.                                                     This section presents a series of tests to compare our dataset
   Plugins: We observed 2,458 distinct plugins, assembled in              with the ﬁngerprinting statistics provided by Eckersley in
47,057 different lists of plugins. They cover an extremely wide           2010.
range of activities, as for example, reading an uncommon ﬁle                 1) Mathematical treatment:
format in the browser (e.g. FLAC ﬁles with the VLC Browser                   Entropy: We use entropy to quantify the level of identifying
plugin), communicating with an antivirus or a download client,            information in a ﬁngerprint. The higher the entropy is, the
launching a video game directly in the browser, site-speciﬁc              more unique and identiﬁable a ﬁngerprint will be.
plugins for added functionality, etc. Some plugins are so                    Let H be the entropy, X a discrete random variable with
speciﬁc that they leak information beyond the computer, like              possible values {x1 , ..., xn } and P (X) a probability mass
the company the user works for or the brand of smartphone,                function. The entropy follows this formula:
                                                                                                      
camera or printer he or she uses. 97% of plugins appear in                               H(X) = −         P (xi ) logb P (xi )
less than 1% of collected ﬁngerprints and 89% in less then                                             i




                                                                    881
                         TABLE III                                            The small value of entropy for the timezone shows that
  N ORMALIZED ENTROPY FOR SIX ATTRIBUTES COLLECTED BOTH BY
                PANOPTICLICK AND A M IU NIQUE
                                                                           our dataset is biased towards visitors living in the same
                                                                           geographical areas. A higher level of entropy would have
                Attribute       AmIUnique   Panopticlick                   meant a more spread distribution of ﬁngerprints across the
               User agent         0.570        0.531                       globe.
             List of plugins      0.578        0.817
              List of fonts       0.446        0.738                          Distribution of ﬁngerprints: We compared frequency dis-
            Screen resolution     0.277        0.256                       tributions w.r.t. anonymity set sizes from both datasets and
               Timezone           0.201        0.161                       observed very similar trends. We also studied each attribute
            Cookies enabled       0.042        0.019
                                                                           separately and observed that the most discriminating attributes
                                                                           are still the ones found by Eckersley with the addition of new
We use the entropy of Shannon where b = 2 and the result is                efﬁcient techniques like canvas ﬁngerprinting. More details on
in bits. One bit of entropy reduces by half the probability of             the distributions can be found in Appendix D.
an event occurring.
   Normalized Shannon’s entropy: To compare both the AmI-                      III. F INGERPRINTING WITH THE MOST RECENT WEB
Unique and Panopticlick datasets, which are of different sizes,                                        TECHNOLOGIES
we use a normalized version of Shannon’s entropy:
                                                                              AmIUnique collects 17 attributes to form a browser ﬁnger-
                                H(X)                                       print. Out of the 118,934 ﬁngerprints that we study, 89.4% are
                                HM                                         unique. In this section, we analyze how the attributes collected
                                                                           with the most recent technologies (7 attributes at the bottom
HM represents the worst case scenario where the entropy is
                                                                           of Table I) contribute to the uniqueness of ﬁngerprints.
maximum and all values of an attribute are unique (HM =
log2 (N ) with N being the number of ﬁngerprints in our
dataset).                                                                  A. Canvas ﬁngerprinting
   The advantage of this measure is that it does not depend                   The canvas element in HTML5 [8] allows for scriptable
on the size of the anonymity set but on the distribution of                rendering of 2D shapes and texts. This way any website
probabilities. We are quantifying the quality of our dataset               can draw and animate scenes to offer visitors dynamic and
with respect to an attribute’s uniqueness independently from               interactive content. As discovered by Mowery and al. [4] and
the number of ﬁngerprints in our database. This way, we can                investigated by Acar and al. [6], canvas ﬁngerprinting can be
qualitatively compare the two datasets despite their different             used to differentiate devices with pixel precision by rendering
sizes.                                                                     a speciﬁc picture following a ﬁxed set of instructions. This
   2) Comparison with Panopticlick:                                        technique is gaining popularity in tracking scripts due to the
   Entropy: Table III lists the normalized Shannon’s entropy               fact that the rendered picture depends on several layers of
for six different attributes for both the AmIUnique and the                the system (at least the browser, OS, graphics drivers and
Panopticlick datasets. For fairness of comparison, we used                 hardware).
our dataset in its entirety by keeping ﬁngerprints without                    1) Our test: The ﬁngerprinting script used by AmIUnique
JavaScript. We observe that the entropy values for both                    includes a test based on the canvas element. With this image,
datasets are similar for all attributes except for the list of             we collect information about three different attributes of the
plugins and the list of fonts.                                             host device, as discussed below.
   For the list of plugins, it is still the most discriminating               Figure 1 displays the image that we use, as it is rendered
attribute but a difference of 0.24 is present. It can be explained         by a Firefox browser running on Fedora 21 with an Intel i7-
by the absence of plugins on mobile devices which are                      4600U processor. Our test replicates the test performed by
increasingly used to browse the web and by the lack of support             AddThis and described in details by Acar et al [6]: print a
for the old NPAPI plugin architecture on Chrome since April                pangram twice with different fonts and colors, the U+1F603
2015 (more details in section V).                                          unicode character and rectangle with a speciﬁc color. The only
   For the list of fonts, a noticeable drop of 0.29 occurs                 adaptation is to change the position of the second string so that
because half of the ﬁngerprints in the AmIUnique dataset                   it is not intertwined with the ﬁrst one. More details about this
were collected on browsers that do not have the Flash plugin               test are discussed below.
installed or activated. Since our ﬁngerprinting script collects
the list of fonts through the Flash API, this means half of
our ﬁngerprints do not contain a list of fonts, reducing its
entropy. The absence of Flash can be explained (i) by the lack
of Flash on mobile devices; (ii) by the fact that the visitors
of AmIUnique are privacy conscious and tend to deactivate                  Fig. 1. Example of a rendered picture following the canvas ﬁngerprinting test
Flash. Yet, we notice that the entropy of the list of fonts is             instructions
still high.



                                                                     882
                                                                                    the Arial font. Although this font has the same dimensions
                                                                                    across operating systems, there are visible variations of pixels
                                                                                    in the ﬁnal image due to differences in the rendering process.
                                                                                    The process to render an image is complex and depends
                                                                                    on both hardware and software (e.g. GPU, rendering engine,
(a) Windows 7      (b) Windows 10         (c) Linux            (d) iOS
                                                                                    graphic drivers, anti-aliasing, OS), and this test is affected by
                                                                                    variations in any of these layers. Interestingly, the test is also
                                                                                    relatively stable over time because users do not often change
                                                                                    the conﬁguration of layers in the rendering process.
                                                                                       2) Inﬂuence of canvas ﬁngerprinting for identiﬁcation:
                                                                                    The strength of canvas ﬁngerprinting comes from the fact
(e) Firefox OS   (f) Android 4.3 and   (g) Android 4.4    (h) Android 5.0
                 before
                                                                                    that it combines the three tests listed before. Alone, as a
                                                                                    simple rendered picture, the normalized entropy is at 0.491,
                                                                                    putting it in the top 5 of the most discriminating attributes.
                                                                                    However, because emojis reveal information about both the
                                                                                    OS and the device, it is possible to use canvas ﬁngerprinting
                                                                                    to detect inconsistent ﬁngerprints. For example, by checking
                                                                                    if the operating system in the user-agent matches the one
(i) Android on     (j) Android on a    (k) Android on      (l) Emoji not
an LG device       Samsung device      an HTC device       supported
                                                                                    indicated by the emoji, we can verify inconsistencies in the
                                                                                    ﬁngerprint to detect visitors who spoof their ﬁngerprintable
Fig. 2. Comparison of the “Smiling face with open mouth" emoji on different
devices and operating systems                                                       attributes. Thus, the added value of canvas ﬁngerprinting is
                                                                                    to strengthen the identity of a ﬁngerprint. Moreover, one of
                                                                                    the advantages of canvas ﬁngerprinting is that it is stable. You
   Font probing: This test captures OS diversity. The script                        can run it many times on the same computer and you will
tells the browser to render the same pangram (a string with                         have the same result every time, with little variance over time
all the letters of the alphabet) twice. For the ﬁrst line we force                  (some variations can be observed if the user decides to update
the browser to use one of its fallback fonts by asking for a font                   drivers for example). In the end, canvas ﬁngerprinting is an
with a fake name. Depending on the OS and fonts installed                           important addition to browser ﬁngerprinting.
on the device, the fallback font differs. For the second line                       B. WebGL ﬁngerprinting
the browser is asked to use the Arial font that is common in
many operating systems and is used for the hardware and OS                             WebGL [10] uses the Canvas element described before to
ﬁngerprinting described next.                                                       render interactive 3D objects natively in the browser, without
                                                                                    the use of plugins. With the ﬁnal speciﬁcations in 2011,
   Device and OS ﬁngerprinting: The last character of our
                                                                                    WebGL 1.0 is now supported in all major browsers.
string may be the most important one. This character should
                                                                                       1) Our test: The WebGL API, through the
not be confused with an emoticon, which is a succession
                                                                                    WEBGL_debug_renderer_info interface (as the name indi-
of letters, numbers and punctuation marks like “:)" or “<3"
                                                                                    cates, it is designed for debugging purposes), gives access to
to describe an emotion. The character is an emoji [9].
                                                                                    two attributes that take their values directly from the device’s
Ofﬁcially introduced in the Unicode standard 6.0 in 2010,
                                                                                    underlying graphics driver. AmIUnique’s ﬁngerprinting script
emojis are ideograms that represent emotions or activities.
                                                                                    collects these two properties, namely:
The difference with emoticons is that emojis have their own
                                                                                       • the WebGL vendor: name of the vendor of the GPU.
Unicode character and font developers must provide their
                                                                                       • the WebGL renderer: name of the model of the GPU.
own implementation for a given emoji w.r.t. its description.
Consequently, emojis can be used for ﬁngerprinting because                            These attributes provide very precise information about the
their actual representation differs between systems.                                device. For example, we collected exact GPU names like
   Figure 2 shows representations of the “Smiling face with                         “NVIDIA GeForce GTX 660 Ti" or “Intel HD Graphics
open mouth" emoji on different operating systems and mobile                         3000". These two attributes also indirectly leak information
devices. A square means that the browser has not found a                            on your OS and its environment. For example, Chrome uses
single font on the device that supports that emoji. The use                         the ANGLE backend [11] on Windows to translate OpenGL
of emojis can be a powerful technique to uncover informa-                           API calls to DirectX API calls. Consequently, the following
tion, especially on mobile devices where phone manufacturers                        WebGL renderer string indicates that the browser runs on a
provide their own sets of emojis.                                                   Windows machine: “ANGLE (NVIDIA GeForce GTX 760
   Hardware and OS ﬁngerprinting: As demonstrated by                                Direct3D11 vs_5_0 ps_5_0)". Same type of leak with the
Mowery et al. [4], small pixel-level differences can be detected                    presence of the “OpenGL engine" substring on Mac systems.
between browsers when rendering images, even on the same                              2) Inﬂuence of WebGL ﬁngerprinting on identiﬁcation: The
OS and browser. The second line of text of the canvas test uses                     WebGL vendor and renderer had the potential to become a
                                                                                    highly discriminating attribute, but two factors greatly hamper



                                                                              883
its utility. First, not all browsers give the unmasked version of                                                 Size of the anonymity sets
                                                                                           pluginsJS
the vendor and renderer. Chrome provides this information                                                           1         2−50        >50

by default but Firefox has this information locked behind




                                                                            Mobile
a browser ﬂag (“webgl.enable-privileged-extensions") and re-
turns a simple “Not supported" with our script. Second, a
non-negligible number of devices share the same hardware.
For example, a lot of laptops do not have a dedicated GPU




                                                                            Desktop
and they use the embedded Intel GPU inside their processor.
This reduces the uniqueness of some of the values that we
can observe. In the end, the WebGL API opens the door to
discriminating information but it is not accessible from every               %        0     20           40             60           80         100

browser.                                                                   Fig. 3. Comparison of anonymity set sizes on the list of plugins between
C. Additional attributes                                                   desktop and mobile devices

   We collected the following attributes to study their utility to
discriminate browsers, to strengthen a ﬁngerprint by verifying             context. Our analysis of mobile device ﬁngerprinting is based
values, and to detect inconsistencies.                                     on 13,105 mobile ﬁngerprints. We select these ﬁngerprints
   Platform: Even though the platform attribute does not add               from our dataset by analyzing the user-agents. If the user-
new information, it can be used to detect inconsistencies. For             agent contains a substring that is present in a predeﬁned set
example, on an unmodiﬁed device, if the browser indicates                  (’Mobile’, ’Android’, ’iPhone’ or ’iPad’), the ﬁngerprint is
in its user-agent that it is running on a Linux system, you                selected as a mobile ﬁngerprint, otherwise, it belongs to the
expect to see “Linux" as the value of the “platform" property.             desktop/laptop category.
Due to the nature of our website that incites users to modify                 In this section, we ﬁrst compare desktop/laptop ﬁngerprints
their browser, we ﬂagged 5,426 ﬁngerprints in our dataset as               with mobile ones. Then, we perform a detailed analysis of
being inconsistent. Some browsers gave completely random                   mobile ﬁngerprints, looking at differences between browsers
values that had no meaning. Others used extensions to mask                 and between mobile operating systems.
the platform value. For example, one ﬁngerprint had the value
"masking-agent", indicating that the Masking Agent extension               A. Mobile and Desktop ﬁngerprint comparison
for Firefox [12] was installed. Finally, other browsers modiﬁed
                                                                              Using the attributes from Table I, we succeeded in uniquely
their user-agent to mimic one from another operating system.
                                                                           identifying 90% of desktop ﬁngerprints. This number is lower
The problem was that the platform property was not modiﬁed
                                                                           for mobile ﬁngerprints at 81%, yet still quite effective. At ﬁrst
and the script was able to identify the true operating system
                                                                           sight, the overall results are close. However, as we discuss in
that the user was trying to hide.
   Even with its low entropy, the platform property can prove              this section, the discriminating attributes for mobile ﬁnger-
useful in cases where it is badly modiﬁed because it can make              prints are very different from those for desktop ﬁngerprints.
some devices more prone to identiﬁcation than others with                  One factor is the lack of plugins in general, and Flash in
unique or unusual values.                                                  particular, for mobile devices. We also discuss the importance
   Do Not Track & Ad blocker: These two attributes have                    of the new attributes collected through the HTML5 canvas and
a very low-level of entropy, their values are either ‘Yes",                WebGL elements on mobile device ﬁngerprinting.
“No" or “Not communicated" (for the DNT preference).                          If we take a look at Figure 3, we can clearly notice an
Without the Do Not Track attribute, the percentage of unique               important difference. For desktops, more than 37% of the
ﬁngerprints drops by 0.07% which is negligible. The Ad                     collected ﬁngerprints have a unique list of plugins, while it is
Blocker attribute is slightly better, with a drop of 0.5%,                 at 1% for mobile devices. This is due to the fact that mobiles
but still insigniﬁcant compared to other attributes like the               were designed to take full advantage of HTML5 functionalities
user-agent or the list of plugins.                                         and do not rely on plugins. For example, Adobe removed the
                                                                           Flash player from the Google Play store in August 2012 as
   To conclude this section, the additional attributes collected           part of a change of focus for the company [13]. Plugins are
by AmIUnique are game changers: they strengthen ﬁnger-                     considered to be unsuitable for the modern web and Google
prints, allow identiﬁcation through inconsistency detection.               states in their move to deprecate NPAPI support for their
They also allow identiﬁcation even when the list of fonts is               Chrome browser that these plugins are a source of “ hangs,
inaccessible because of the absence of Flash, and they provide             crashes, security incidents, and code complexity" [14]. This
essential information about browsers on mobile devices as it               choice helps mobile device users gain some privacy with
will be detailed in the next section.                                      regards to ﬁngerprint uniqueness. The level of entropy of the
                                                                           plugin attribute is close to zero (some iOS systems have the
            IV. M OBILE FINGERPRINT DIVERSITY                              QuickTime plugin and some Android systems reported having
  Given the growth of mobile devices to browse the web, it is              Flash, possibly from legacy installations). The lack of plugins
essential to analyze how browser ﬁngerprinting behaves in this             also reduces information leaks that could come from them. In



                                                                     884
                                         Size of the anonymity sets                                                            Size of the anonymity sets
                   userAgentHttp                                                                   userAgentHttp Mobile
                                           1         2−50        >50                                                             1         2−50       >50
 Mobile




                                                                                     iOS
 Desktop




                                                                                     Android
  %        0         20         40             60           80         100           %         0        20          40          60              80          100

Fig. 4. Comparison of anonymity set sizes on the user-agent between desktop         Fig. 5. Comparison of anonymity set sizes on the user-agent between Android
and mobile devices                                                                  and iOS devices



particular, mobile phones and tablets do not have the Flash                                        vodafoneUK;FBID/phone;FBLC/en_GB;
plugin, thus all the ﬁngerprint attributes leaked through the                                      FBOP/5]
Flash API are unavailable.                                                               Sometimes, even the model of the phone can give
   Despite the unavailability of the two most discriminating                             away your phone carrier. One ﬁngerprint reported “SM-
attributes from desktop ﬁngerprints (list of fonts and plugins),                         G900P". It is a Samsung Galaxy S5 and the “P" is unique
mobile ﬁngerprints are still very much recognizable. This is                             to the Sprint phone carrier.
due to two main factors: very rich and revealing user agents                          The second highest source of entropy for mobile devices
and very discriminating emojis.                                                     comes from canvas ﬁngerprinting. Mobiles have unique hard-
   Figure 4 shows that user-agents found on mobiles are                             ware impacting the ﬁnal rendered picture as explained in
ﬁve times more unique than the ones found on desktops. In                           section III-A and emojis can also be really discriminating
our dataset, about 1 smartphone out of 4 is instantaneously                         between two devices. As seen in Figure 2, some manufacturers
recognizable with just the user-agent. This is due to two                           have their own set of emojis and even between different
factors:                                                                            versions of Android, the emojis have evolved, splitting the
     •     Phone manufacturers include the model of their phone                     Android user base into recognizable groups.
           and even the version of the Android ﬁrmware directly in                    In the end, desktop and mobile ﬁngerprints are somehow
           the user-agent.                                                          equally unique in the eyes of browser ﬁngerprinting even
           Example:                                                                 though the discriminating information does not come from
                                                                                    the same attributes.
           Mozilla/5.0 (Linux; Android 5.0.1;
              Nexus 5 Build/LRX22C) AppleWebKit
                                                                                    The complete details of attributes’ entropy between desktop
              /537.36 (KHTML, like Gecko) Chrome
                                                                                    and mobile devices can be found in Table A of the Appendix.
              /40.0.2214.109 Mobile Safari/537.36
                                                                                    B. Comparison Mobile OS and browsers
     •     On a smartphone, applications are slowly replacing the
           default browser and they have access to a wide range                        More than 97% of mobile ﬁngerprints collected on AmIU-
           of personal information after the user has explicitly                    nique are either running Android or iOS: 7,416 run on Android
           granted speciﬁc permissions. The problem is any of these                 and 5,335 on iOS. How diverse is the set of ﬁngerprints
           information can be exposed for the world to see by                       coming from both of these operating systems?
           the application. We noticed in our dataset that a lot of                    Figure 5 shows the size of anonymity sets for user-agents on
           user-agents collected on mobile devices were sent by an                  both Android and iOS devices. We can see that user agents
           application and not by the native browser.                               on Android devices expose more diversity with three times
           Example with the Facebook app where the phone car-                       as many users being in an anonymity set of size 1 (9% for
           rier (Vodafone UK) and the exact model of the phone                      iOS devices and 35% for Android devices). This is due to the
           (“iPhone7" = iPhone 6 Plus) is included in the user-agent:               wealth of Android models available on the market. Moreover,
                                                                                    our dataset may not be representative enough of the global
           Mozilla/5.0 (iPhone; CPU iPhone OS 8                                     diversity of Android devices so these percentages may be
              _1_1 like Mac OS X) AppleWebKit                                       even higher in reality. For iOS devices, the diversity is still
              /600.1.4 (KHTML, like Gecko) Mobile                                   high but much less pronounced since users share devices with
              /12B436 [FBAN/FBIOS;FBAV                                              identical conﬁgurations. We can notice a trend where half of
              /20.1.0.15.10;FBBV/5758778;FBDV/                                      the collected iOS ﬁngerprints are in really large anonymity
              iPhone7,2;FBMD/iPhone;FBSN/iPhone                                     sets. The fact that Apple is the only manufacturer of iOS
              OS;FBSV/8.1.1;FBSS/2; FBCR/                                           devices shows in this graph.



                                                                              885
                                           Size of the anonymity sets                                                         Size of the anonymity sets
                userAgentHttp Mobile                                                                Complete fingerprint
                                             1         2−50       >50                                                           1         2−50       >50




                                                                                     No Flash
 Firefox




                                                                                     Flash
 Chrome




                                                                                      %         0        20          40        60              80          100
 %         0         20          40        60              80           100

Fig. 6. Comparison of anonymity set sizes on the user-agent between Chrome          Fig. 7. Comparison of anonymity set sizes between devices with and without
and Firefox on mobile devices                                                       Flash



   We saw in the previous section that user-agents can give                         would limit the effectiveness of browser ﬁngerprinting by
really discriminating information on the user’s device. Some                        simulating their impact on our dataset. The ﬁrst two scenarios
smarpthones running Android give the exact model and                                are based on current trends in web technologies, while the
ﬁrmware version of their phone. Looking at Figure 6, user                           others are more speculative and based on the observations
agents from the Chrome mobile browser are ten times more                            made in previous sections. It should be noted that we do not
unique than user agents from the Firefox browser (40% against                       estimate the impact of scenarios no 4 and 5 since we can hardly
less than 4%). This can be explained by the fact that the                           predict which attributes would be affected and how. We also
Chrome browser is the default browser on Android and it                             treat scenario no 6 separately, due to its extreme nature.
is automatically installed on every devices. When a phone                           Scenario no 1 - The deﬁnitive disappearance of Flash
manufacturer builds its tailored ﬁrmware to be delivered to its
                                                                                       The Flash plugin is progressively disappearing. It has been
clients, the embedded Chrome browser has a user-agent with
                                                                                    deprecated on all smartphones, tablets and mobile devices used
information on the corresponding phone model and Android
                                                                                    to browse the web. On laptop and desktop browsers, Flash’s
version. On the other side, Firefox which can be downloaded
                                                                                    security ﬂaws have progressively created mistrust in its users.
from the Google Play Store does not contain this type of
                                                                                    Click-to-play is becoming standard on most browsers. In the
information because the store only offers a generic version
                                                                                    meantime, the number of web applications that replace Flash
for every Android mobile and it does not change its user-
                                                                                    with JavaScript and HTML5 is also growing. These phenom-
agent during its installation. Firefox indirectly provides a much
                                                                                    ena let us plausibly foresee the deﬁnitive disappearance of
better protection against ﬁngerprint tracking by not disclosing
                                                                                    Flash.
device-related information.
                                                                                       Interestingly, Flash is still present in 80% of our Desktop
   You can ﬁnd below two ﬁngerprints collected from the same
                                                                                    ﬁngerprints. Among these cases, 71.7% have it activated,
device but with a different browser: the ﬁrst with Chrome, the
                                                                                    26.3% are using click-to-play protections, and 2.0% block
second with Firefox.
                                                                                    Flash, likely by a browser extension.
Mozilla/5.0 (Linux; Android 4.4.4; D5803                                               Impact of scenario no 1: Figure 7 shows the impact of the
   Build/23.0.1.A.5.77) AppleWebKit                                                 Flash plugin on ﬁngerprint uniqueness. The “No Flash” bar
   /537.36 (KHTML, like Gecko) Chrome                                               shows statistics over our complete dataset (for the 60,617
   /39.0.2171.93 Mobile Safari/537.36                                               ﬁngerprints that have Flash, we simulate its absence by re-
                                                                                    moving the attributes obtained through Flash). The “Flash”
Mozilla/5.0 (Android; Mobile; rv:34.0)                                              bar is computed with the subset of ﬁngerprints that have Flash,
   Gecko/34.0 Firefox/34.0                                                          since it is not possible to simulate the presence of Flash on
                                                                                    ﬁngerprints that don’t have it. We uniquely identify 95% of
                                                                                    the browsers that have Flash, while this is reduced to 88%
      V. A SSESSING THE ROBUSTNESS OF FINGERPRINTING
                                                                                    for those without Flash. The sizes of the anonymity sets are
               AGAINST POSSIBLE TECHNICAL EVOLUTIONS
                                                                                    notably small, with less than 0.6% of the ﬁngerprints in a
   Web technologies evolve very fast, and we have seen in                           set of size 50 or greater. These numbers conﬁrm that browser
previous sections that some recent evolutions limit ﬁngerprint-                     ﬁngerprinting in a Flash-less future is certainly possible, and
based identiﬁcation (e.g., no Flash on mobile devices), while                       that the wealth of ﬁngerprintable attributes compensates for
others open the door to increased identiﬁcation (e.g., WebGL                        the lack of access to Flash speciﬁc attributes.
reveals ﬁne grained information about the GPU).
   In this section, we explore 6 potential evolutions that web                      Scenario no 2 - The end of browser plugins
technology providers (browsers and app developers, standard-                           In 2013, Google decided to stop supporting NPAPI plugins
ization organizations) could set up. We demonstrate that they                       in Chrome and to rely exclusively on the technology embedded



                                                                              886
                                                                     NPAPI support         list between operating systems). Removing plugin support
                                                                         Enabled
                                                                                           deﬁnitely impacts desktop ﬁngerprints and it seems that their
                                   1.0

                                                                         Disabled
                                                                         Removed           use in browser ﬁngerprinting is becoming limited.

                                                                                           Scenario no 3 - Adherence to the standard HTTP headers
                                   0.8
  Normalized entropy of plugins




                                                                                              A major source of information for browser ﬁngerprinting
                                                                                           comes from application and system developers that add ar-
                                   0.6




                                                                                           bitrary information in headers by either modifying existing
                                                                                           headers (e.g., the user-agent) or by adding new ones. Yet,
                                                                                           the Internet Engineering Task Force (IETF) has standardized
                                   0.4




                                                                                           a list of ﬁelds for HTTP headers. The current diversity in
                                                                                           the contents of the user-agent ﬁeld results from a very long
                                   0.2




                                                                                           history of the ‘browser wars’, but could be standardized today.
                                                                                           This scenario explores the possibility that technology providers
                                                                                           converge on a standard set of HTTP header ﬁelds, and that they
                                   0.0




                                                                                           follow the standard.
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                                                         Browser
                                                                                           moderate with a decrease of exactly 8% from 90% to 82%
Fig. 8. Evolution of the normalized entropy of plugins for different browsers              in overall uniqueness. However, on mobile ﬁngerprints, we
on desktop computers                                                                       can observe a drop of 21% from 81% to 60%. This illustrates
                                                                                           the importance of headers, and especially the user-agent, for
                                                                                           mobile ﬁngerprinting and the fact that generic user-agents are
in modern browsers and the functionalities offered by HTML5                                essential for privacy.
and JavaScript to let developers extend the browser [14].                                     Combining scenarios no 1-2-3: The biggest surprise of this
This has forced developers to migrate old plugins to newer                                 analysis comes from combining the 3 scenarios. For mobile
alternatives [15] or to drop their support. Nevertheless, since                            devices the results are signiﬁcant but not overwhelming, the
its enforcement, it has the advantage of drastically reducing                              number of unique ﬁngerprints drops by 22%. However for
the entropy of the list of plugins. In 2015, version 42 of                                 desktop devices, the percentage drops by a staggering 36%,
Chrome deprecated the support of NPAPI plugins by default                                  from 90% to 54%. This means that if plugins disappear and
and version 45 permanently removed their support.                                          if user-agents become generic, only one ﬁngerprint out of two
   This radical evolution, and the absence of plugins on mobile                            would be uniquely identiﬁable using our collected attributes,
platforms, lets us foresee a more global evolution where                                   which is a very signiﬁcant improvement to privacy over the
browsers no longer provide a plugin-based architecture. Yet,                               current state of browser ﬁngerprinting.
this is challenging because plugins currently still provide a
                                                                                           Scenario no 4 - Reduce the surface of HTML APIs
large number of features (as discussed in section II-B, we
observed 2,458 different plugins in our dataset). Mozilla had                                 The potential disappearance of Flash and plugins will oc-
plans to hide unpopular plugins with a whitelist [16] but they                             cur only if developers ﬁnd suitable replacements with rich
did not ﬁnd a satisfying working solution that would not break                             HTML and JavaScript features. Consequently, HTML APIs
websites or functionality. In October 2015, they announced the                             keep growing, providing access to an increasing number of
removal of NPAPI support by the end of 2016 [17].                                          information about the browser and its environment. As we
   Impact of scenario no 2: To estimate the impact of this                                 saw in section III, the WebGL and canvas elements provide
scenario, we look at the entropy of plugins for Chrome since                               important information for identiﬁcation. There are potentially
Google decided to deprecate the support of NPAPI plugins.                                  many more APIs that leak identifying information.
Figure 8 shows the evolution of the normalized entropy of                                     Setting the best trade-off between rich features and privacy
plugins for the stable releases of Chrome since the launch                                 is a critical and difﬁcult choice when setting up new APIs.
of the AmIUnique website. The last 4 stable versions of                                    Developers debate extensively on this kind of trade-off [18].
Firefox were added for comparison. Up to version 42, the                                   Yet, it is possible to foresee that future API developments,
normalized entropy of the list of plugins was above 0.8. Since                             combined with informed studies about privacy such as the
the release of version 42, the entropy of the list of plugins                              recent work by Olejnik and colleagues [19], will lead to
has dropped below 0.5. This improvement is signiﬁcant and                                  reduced APIs that still provide rich features.
the effects are getting bigger with the release of version 45                              Scenario no 5 - Increase common default content
where the NPAPI support is permanently dropped (the entropy
is not at zero since there are small differences in the plugin                                This scenario explores the possibility that browser or plat-
                                                                                           form developers increase the amount of default elements,



                                                                                     887
                                      Size of the anonymity sets                  It is important to notice that tools already exist that can
             Complete fingerprint
                                        1         2−50       >50               mitigate browser ﬁngerprinting in similar ways as the scenarii
                                                                               discussed in this section. Ad and script blockers, like Ghostery
 No JS




                                                                               [21] or Privacy Badger [22], prevent known ﬁngerprinting
                                                                               scripts from being executed in the browser. The NoScript [23]
                                                                               extension blocks the execution of unwanted JavaScript scripts,
                                                                               which is a direct reﬂection of scenario no 6. The Tor browser
                                                                               team has modiﬁed Firefox to create a large range of defenses
 JS




                                                                               against browser ﬁngerprinting [24]: from the complete removal
                                                                               of plugins to canvas image extraction blocking, their most
 %       0         20          40       60             80          100         recent addition being a defense against font enumeration by
Fig. 9. Comparison of anonymity set sizes on the complete ﬁngerprint
                                                                               bundling a set of default fonts with the browser [25]. This
between devices with and without JavaScript                                    protection illustrates scenario no 5 where the set of exposed
                                                                               fonts is greatly reduced.

which would be the only ones exposed publicly. For example,                                        VI. R ELATED WORK
we could envision a whitelist of fonts that are authorized to be                  We distinguish three main areas of the literature on browser
disclosed by the browser, as suggested by Fiﬁeld and Egelman                   ﬁngerprinting: analysis of client-side diversity, analysis of
[20]. Such a list would contain the default fonts provided by                  ﬁngerprinting adoption on the web and server-side scripts,
an operating system. This whitelist of fonts would also include                and advanced solutions to collect additional ﬁngerprintable
a default encoding for emojis that is common to all versions                   attributes. While our work is mostly related to the ﬁrst
of the operating system, or even common to all platforms.                      category of work, we discuss the other two since they have
   This evolution would aim at reducing the amount of infor-                   inspired some of the ﬁngerprinting techniques included in
mation disclosed to external servers. Yet, it should not prevent               AmIUnique.org.
the users from adding new fonts or new emoji renderings.                          Client-side diversity: The work by Peter Eckersley is
These customization decisions should be allowed without                        closely related to our study. In 2010 he launched the Panop-
increasing the risks for privacy.                                              ticlick website, aimed at collecting device-speciﬁc information
Scenario no 6 - The end of JavaScript                                          via a script that runs in the browser [7]. The script created
                                                                               browser ﬁngerprints by collecting 10 different attributes that
   This last scenario explores the eventuality of coming back
                                                                               characterized the browser and its execution platform. He
to a more static web, without JavaScript. This is the most
                                                                               observed that 83% of visitors had instantaneously recognizable
unlikely today, as it would drastically reduce the dynamicity
                                                                               ﬁngerprints, and this number rose to 94% for browsers that
and comfort of browsing. Yet, there are currently millions of
                                                                               had the Flash or Java plugins enabled. He showed that the
users who have installed the NoScript extension, which gives
                                                                               list of fonts (collected through the Flash API) and the list of
control to users on which websites JavaScript is allowed to run.
                                                                               plugins (collected through the JavaScript API) were the most
We believe that it makes sense to explore the impact of such an
                                                                               distinguishable attributes.
evolution on identiﬁcation through ﬁngerprinting. Currently by
                                                                                  The key novelties of our work with respect to Eckersley’s
disabling JavaScript, some sites do not render at all or render
                                                                               study are as follow: the ﬁngerprints we collect are richer and
improperly, while most popular sites lose functionality even if
                                                                               exploit some of the most recent web technologies (section
properly rendered.
                                                                               III shows the essential role of canvas ﬁngerprinting); Eck-
   Figure 9 shows the impact of the unlikely return to a
                                                                               ersley did not analyze mobile ﬁngerprints separately from
more static web. The presence of JavaScript in today’s web
                                                                               the others, while we perform a detailed analysis of how
helps make 89.4% of browsers uniquely identiﬁable, while
                                                                               ﬁngerprinting behaves for browsers on mobile devices; we
removing JavaScript reduces the rate down to 29% on our
                                                                               assess the effectiveness of browser ﬁngerprinting against dif-
dataset. This percentage could be even lower if user-agents
                                                                               ferent technological evolution scenarios. It should also be
become generic, as stated in scenario no 3. In that case, only
                                                                               noted that the technological changes to the web since 2010
7% of ﬁngerprints would be unique. The privacy beneﬁts are
                                                                               (e.g., the deprecation of the Netscape Plugin API, the steady
undoubtedly signiﬁcant but the cost to developers and to the
                                                                               disappearance of Flash, the arrival of HTML5) have strongly
users’ comfort would be very high.
                                                                               impacted browser ﬁngerprinting, changing the importance of
                                                                               various ﬁngerprintable attributes.
Conclusion                                                                        Very few other works have investigated the behavior of
   Here we have quantiﬁed the impact of possible technology                    ﬁngerprinting algorithms on client browsers. Yen et al. ana-
evolution scenarii. While some of them could become reality                    lyzed month-long datasets from Hotmail and Bing [26]. They
in the not-so-distant future, others are less plausible. Yet, we               combined the user-agent with the IP address, and succeeded
demonstrate that they can beneﬁt privacy with a limited impact                 in tracing back to a single host with 80% precision. While
on the beauty of current web browsing.                                         this work is also about ﬁngerprinting, it has a much narrower



                                                                         888
focus than ours (they consider only the user agent) and they              browsers.
do not consider the robustness of their approach, e.g., against
                                                                                                VII. C ONCLUSION
agent spoofers. Spooren et al. recently analyzed 59 mobile
device ﬁngerprints [27] and concluded that “the ﬁngerprints                  In this work we analyzed 118,934 browser ﬁngerprints col-
taken from mobile devices are far from unique". Our ﬁndings               lected through the AmIUnique.org web site. Our work focuses
on mobile diversity are quite different (cf. section IV): 81%             on the impact evolutions in modern web technology have had
of our 13,105 mobile ﬁngerprints are unique. We see two                   on the ability to uniquely identify devices through browser
possibles reasons for the different conclusions: the scale effect         ﬁngerprinting. We argue that modern web technologies provide
(our dataset is two orders of magnitude larger that Spooren’s);           a much improved user experience, albeit to the detriment of
Spooren et al. do not consider canvas ﬁngerprinting, while                privacy.
we demonstrate that the canvas test is essential to distinguish              The key insights from our study are as follows. First, our
mobile ﬁngerprints. Finally, Boda et al. [28] showed that cross-          observations conﬁrm the results of previous studies on the ease
browser ﬁngerprinting was feasible if enough data on the                  of ﬁngerprinting in today’s ecosystem [6], [31]. Second, we
underlying operating system was collected. With our study,                provide novel insights about the impact of the most recent
we did not explore this possibility since we do not know with             browser APIs, including the ﬁrst large-scale analysis of the
certainty when two different ﬁngerprints are from the same                HTML5 canvas on ﬁngerprinting, as well as the inﬂuence of
device but different browsers.                                            recent trends, such as the decreasing presence of Flash and
   Adoption of ﬁngerprinting on the web and server-side                   other plugins on the web.
scripts: Some radically different works investigate the extent               We also provide the ﬁrst extensive analysis of ﬁngerprints
to which browser ﬁngerprinting is adopted by web sites in the             collected from mobile devices: 81% of the mobile ﬁngerprints
wild. Although these works investigate the same phenomenon                in our dataset are unique. We show that HTTP headers and
as we do, the perspective is completely different, as are the             HTML5 canvas ﬁngerprinting play an essential role in identi-
conclusions and lessons learnt.                                           fying browsers on these devices. Furthermore, in the absence
   Nikiforakis et al. [1] analyzed the ﬁngerprinting scripts of           of the Flash plugin to provide the list of fonts, there is no
three popular commercial companies. They concluded that                   longer any major discriminating attributes, thus identiﬁcation
user-privacy was on “the losing side" and that commercial                 is based on the collection of many lesser attributes that appear
scripts used intrusive techniques to get the most data out of             harmless by themselves, but when aggregated lead to unique
every browser.                                                            ﬁngerprints.
   FPDetective [2] was the ﬁrst study about the adoption of                  Our dataset, and the associated observations, allow us to
browser ﬁngerprinting on the web. Crawling the million most               evaluate the impact of possible evolutions in web technologies
popular websites, they demonstrated the wide adoption of                  on browser ﬁngerprinting. We show that certain scenarios
ﬁngerprinting, and that ﬁngerprinters completely disregard the            would limit the detriment these technologies have on privacy,
user’s Do Not Track preference. The same authors showed that              while preserving the current trend towards an ever more
5.5% of the top 100,000 sites actively ran canvas ﬁngerprinting           dynamic and rich web. Having generic HTTP headers and
scripts on their home pages [6].                                          removing browser plugins could reduce ﬁngerprint uniqueness
   New techniques for richer ﬁngerprints: Several works have              in desktops by a strong 36%.
deﬁned different ways to ﬁngerprint devices or browsers in                                    ACKNOWLEDGMENT
order to better differentiate them. Mowery and Schacham                      The authors would like to thank Nick Nikiforakis and
worked on the HTML canvas and WebGL elements [4], Mow-                    Gildas Avoine for providing insightful feedback while writing
ery et al. on benchmarking the performance of core JavaScript             this paper. We also want to thank our shepherd Adrienne
operations [29], Mulazzani et al. checked the conformance                 Porter Felt and the anonymous reviewers for their valuable
of the browsers’ JavaScript engines to the ECMAScript stan-               comments. This work is partially supported by the EU FP7-
dard [30], Fiﬁeld et al. measured the onscreen dimensions of              ICT-2011-9 No. 600654 DIVERSIFY and the CNRS INS2I
font glyphs [20], and Olejnik et al. used the HTML5 Battery               JCJC 2016 FPDefendor projects.
Status API for ﬁngerprinting purposes [19].
   We kept only the work of Mowery and Schacha [4] in our                                              R EFERENCES
script because canvas and WebGL tests are light and can be                 [1] N. Nikiforakis, A. Kapravelos, W. Joosen, C. Kruegel, F. Piessens, and
run in a matter of milliseconds. The other approaches take                     G. Vigna, “Cookieless monster: Exploring the ecosystem of web-based
                                                                               device ﬁngerprinting,” in Proc. of the Symp. on Security and Privacy,
either too much time (e.g. more than 3 minutes to test the                     2013, pp. 541–555.
performance of JavaScript operations [29]), were too fragile               [2] G. Acar, M. Juarez, N. Nikiforakis, C. Diaz, S. Gürses, F. Piessens, and
(e.g., the battery API elements [19]), or did not add any valu-                B. Preneel, “Fpdetective: dusting the web for ﬁngerprinters,” in Proc.
                                                                               of the Conf. on Computer & Communications Security (CCS). ACM,
able information to the pool of attributes that we already had                 2013, pp. 1129–1140.
(e.g. [20], [30]). We note that in general, new ﬁngerprinting              [3] “Google Privacy Policy,” http://www.google.com/policies/privacy/
techniques are complementary to our work because they can                      archive/20150501-20150605/.
                                                                           [4] K. Mowery and H. Shacham, “Pixel perfect: Fingerprinting canvas in
be used as new distinguishing attributes in the ﬁngerprinting                  HTML5,” in Proceedings of W2SP 2012, M. Fredrikson, Ed. IEEE
algorithm, allowing for better precision in uniquely identifying               Computer Society, May 2012.




                                                                    889
 [5] “Mobile internet usage soars by 67%,” http://gs.statcounter.com/press/                                 A PPENDIX A
     mobile-internet-usage-soars-by-67-perc.
 [6] G. Acar, C. Eubank, S. Englehardt, M. Juarez, A. Narayanan, and
                                                                                             N ORMALIZED S HANNON ’ S ENTROPY FOR ALL
     C. Diaz, “The web never forgets: Persistent tracking mechanisms in                             A M IU NIQUE ’ S ATTRIBUTES
     the wild,” in Proceedings of the 21st ACM Conference on Computer
     and Communications Security (CCS 2014). ACM, 2014.                                               Attribute          All    Desktop   Mobile
 [7] P. Eckersley, “How unique is your web browser?” in Proceedings of                               User agent         0.580    0.550    0.741
     the 10th International Conference on Privacy Enhancing Technologies,                          List of plugins      0.656    0.718    0.081
     ser. PETS’10. Berlin, Heidelberg: Springer-Verlag, 2010, pp. 1–18.                         List of fonts (Flash)   0.497    0.548    0.033
     [Online]. Available: http://dl.acm.org/citation.cfm?id=1881151.1881152                    Screen resolution (JS)   0.290    0.263    0.366
 [8] “HTML Canvas 2D Context,” http://www.w3.org/TR/2dcontext/.                                       Timezone          0.198    0.200    0.245
 [9] “Emoji and Dingbats,” http://unicode.org/faq/emoji_dingbats.html.                            Cookies enabled       0.015    0.016    0.011
[10] “WebGL Speciﬁcation,” https://www.khronos.org/registry/webgl/specs/
                                                                                                       Accept           0.082    0.082    0.105
     latest/1.0/.
                                                                                                 Content encoding       0.091    0.089    0.122
[11] “ANGLE: Almost Native Graphics Layer Engine,” https://chromium.
     googlesource.com/angle/angle.                                                               Content language       0.351    0.344    0.424
[12] “Masking Agent extension for Firefox,” https://addons.mozilla.org/                        List of HTTP headers     0.249    0.247    0.312
     ﬁrefox/addon/masking-agent/.                                                                   Platform (JS)       0.137    0.110    0.162
[13] “An Update on Flash Player and Android,” https://blogs.adobe.com/                             Do Not Track         0.056    0.057    0.058
     ﬂashplayer/2012/06/ﬂash-player-and-android-update.html.                                    Use of local storage    0.024    0.023    0.036
[14] J. Schuh, “Saying Goodbye to Our Old Friend NPAPI,” Septem-                               Use of session storage   0.024    0.023    0.036
     ber 2013, https://blog.chromium.org/2013/09/saying-goodbye-to-our-                                Canvas           0.491    0.475    0.512
     old-friend-npapi.html.                                                                       Vendor WebGL          0.127    0.125    0.131
[15] “NPAPI deprecation: developer guide,” https://www.chromium.org/                             Renderer WebGL         0.202    0.205    0.165
     developers/npapi-deprecation — The Netscape Plugin API (NPAPI) has                               AdBlock           0.059    0.060    0.029
     been permanently removed from Google Chrome since version 45. The
     Pepper API (PPAPI) is one option but few plugins exist and it is not
     proposed in the developer guide as an alternative.                                                      A PPENDIX B
[16] “Disallow enumeration of navigator.plugins (Mozilla bug tracker),”
     https://bugzilla.mozilla.org/show_bug.cgi?id=757726.                                           O UR ATTEMPT AT A W EB GL TEST
[17] “NPAPI Plugins in Firefox,” https://blog.mozilla.org/futurereleases/                As reported by Mowery et al. [4], the WebGL API can be
     2015/10/08/npapi-plugins-in-ﬁrefox/.
[18] “Extensive discussion about reducing the HTML battery API,” https:               used to render 3D forms in the browser. With the help of the
     //groups.google.com/forum/\#!topic/mozilla.dev.webapi/6gLD78z6ASI.               three.js JavaScript library [32], we aimed to have a test that
[19] L. Olejnik, G. Acar, C. Castelluccia, and C. Diaz, “The leaking battery:         renders three different forms:
     A privacy analysis of the html5 battery status api,” Cryptology ePrint
     Archive, Report 2015/616, 2015, http://eprint.iacr.org/.                            • a sphere
[20] D. Fiﬁeld and S. Egelman, “Fingerprinting web users through font met-               • a cube
     rics,” in Proceedings of the 19th international conference on Financial
                                                                                         • a Torus knot
     Cryptography and Data Security. Berlin, Heidelberg: Springer-Verlag,
     2015.                                                                               However, after analyzing more than 40,000 ﬁngerprints, we
[21] “Ghostery browser extension,” https://www.ghostery.com/our-solutions/            concluded that the test was too brittle and unreliable to draw
     ghostery-browser-extention/.
[22] “Privacy Badger browser extension,” https://www.eff.org/privacybadger.           any conclusions from it. Indeed, if the user were to change the
[23] “NoScript browser extension,” https://noscript.net/.                             size of its browser window or open the browser console, the
[24] “Design of the Tor browser,” https://www.torproject.org/projects/                actual dimensions of the rendering context would be updated
     torbrowser/design/.
[25] “Release of Tor with a new defense against font enumeration,” https:             inside the library and the rendering would differ with just a
     //blog.torproject.org/blog/tor-browser-55-released.                              simple page reload. Figure 10 shows three renderings of the
[26] T.-F. Yen, Y. Xie, F. Yu, R. P. Yu, and M. Abadi, “Host ﬁngerprinting            same test with three different window sizes on the same device.
     and tracking on the web: Privacy and security implications.” in NDSS,
     2012.                                                                                                   A PPENDIX C
[27] J. Spooren, D. Preuveneers, and W. Joosen, “Mobile device
     ﬁngerprinting considered harmful for risk-based authentication,” in                            A DDITIONAL F LASH ATTRIBUTES
     Proceedings of the Eighth European Workshop on System Security,                     For Flash, we also collected the following four attributes:
     ser. EuroSec ’15. New York, NY, USA: ACM, 2015, pp. 6:1–6:6.
     [Online]. Available: http://doi.acm.org/10.1145/2751323.2751329                     • Capabilities.language
[28] K. Boda, A. M. Földes, G. G. Gulyás, and S. Imre, “User tracking                    • Capabilities.os
     on the web via cross-browser ﬁngerprinting,” in Information Security
                                                                                         • Capabilties.screenResolutionX
     Technology for Applications, ser. Lecture Notes in Computer Science,
     P. Laud, Ed. Springer Berlin Heidelberg, 2012, vol. 7161, pp. 31–46.                • Capabilties.screenResolutionY
     [Online]. Available: http://dx.doi.org/10.1007/978-3-642-29615-4_4
[29] K. Mowery, D. Bogenreif, S. Yilek, and H. Shacham, “Fingerprinting
                                                                                      The language obtained through Flash is the devices main
     information in JavaScript implementations,” in Proceedings of W2SP               language, but it is not as precise as the content language header
     2011, H. Wang, Ed. IEEE Computer Society, May 2011.                              collected through HTTP. For the screen resolution, it can be
[30] M. Mulazzani, P. Reschl, M. Huber, M. Leithner, S. Schrittwieser,
     E. Weippl, and F. C. Wien, “Fast and reliable browser identiﬁcation
                                                                                      more interesting than the JavaScript value because Flash will
     with javascript engine ﬁngerprinting,” in Web 2.0 Workshop on Security           return the full resolution of a multi-screen setup and not the
     and Privacy (W2SP), vol. 5, 2013.                                                resolution of a single screen. Finally, when analyzing the data
[31] “ Technical analysis of client identiﬁcation mechanisms
     ,”           https://www.chromium.org/Home/chromium-security/client-
                                                                                      from the string collected from the OS property, it conﬁrmed
     identiﬁcation-mechanisms.                                                        what has been observed by Nikiforakis et al. [1] in 2013.
[32] “three.js ofﬁcial website, a JavaScript library to create 3D animations          Depending on the OS and the browser, the information is often
     using WebGL,” http://threejs.org/.
                                                                                      generic, returning “Windows" or “Linux", but in some cases



                                                                                890
                                                                              on the tail on the right of Graph 11a, AmIUnique presents a
                                                                              slightly lower number on Graph 11b with 79.4% of ﬁngerprints
                                                                              that are unique in the database (ﬁngerprints with and without
                                                                              JavaScript).
                                                                              B. Distribution of browsers
                                                                                 Figure 12 shows the distribution of surprisal for different
                           (a) 1920x1200 window
                                                                              categories of browsers. We can see that the overall trend is
                                                                              similar in both graphs. The main noticeable difference is the
                                                                              number of browsers in each category. While the Panopticlick
                                                                              dataset was constituted of mainly Firefox browsers followed
                                                                              by Chrome and Internet Explorer, our dataset put Chrome and
                                                                              Firefox at the same level with all the other browsers behind.
                                                                              This shows the rapid growth of the Chrome userbase over the
                                                                              last 5 years and the decline of Internet Explorer.
                           (b) 960x1200 window
                                                                              C. Anonymity set sizes
                                                                                 Figure 13 shows the size of anonymity sets for all attributes
                                                                              if we consider them independently from each other. In our
                                                                              case, the bigger an anonymity set is, the better it is for
                                                                              privacy. If a value is in an anonymity set of size 1, it
                                                                              means that the observed value is unique and is not shared by
                                                                              another ﬁngerprint. With all the attributes that we collected on
                           (c) 1080x600 window                                AmIUnique, we could not add all of them in Figure 13b for
   Fig. 10. Different renderings of the WebGL test on the same device
                                                                              readability reasons so we focused on attributes with the highest
                                                                              level of entropy. If we look at the upper left part of both
                                                                              Figure 13a and Figure 13b, we observe very similar results
it returns the type of the OS with the exact version of the                   and the most discriminating attributes on AmIUnique are still
kernel (for example, “Mac OS 10.8.2" or “Linux 3.18.4-1-                      the same as the ones observed by Eckersley (mainly fonts and
ARCH"). This level of detail could be used to forge an attack                 plugins) but with the addition of new efﬁcient techniques like
against a vulnerable system, and it is surprising that little has             canvas ﬁngerprinting (see section III-A of the paper for more
changed since it was originally reported. In the end, we did not              information).
keep this information for our study because it did not increase
the number of unique ﬁngerprints and would mainly serve to
detect inconsistencies (e.g., caused by User-Agent spoofers).

                             TABLE IV
            S TATISTICS OF ADDITIONAL F LASH ATTRIBUTES

                                      Distinct      Unique
         Flash attribute
                                      values        values
         Screen resolution XxY        584           329
         Language                     44            10
         Platform                     968           483


                     A PPENDIX D
        C OMPARISON TO THE PANOPTICLICK STUDY
   To complement section 2.3.2 of our paper that compares
our dataset with the one from Panopticlick [7], we recreated
the same graphs to show the impact of 5 years of browser
development on browser ﬁngerprinting.
A. Distribution of ﬁngerprints
   If we compare both frequency distributions in Figure 11
w.r.t. anonymity set sizes, we can observe that the overall trend
is similar in both graphs with set sizes quickly dropping to
1. While Panopticlick has 83.6% of its ﬁngerprints located



                                                                        891
                                           1000




Frequency or Anonymity Set Size
                                           100




                                            10




                                             1
                                                    1       10              100             1000            10000            100000       1000000
                                                                             409,296 Distinct Fingerprints
                                                                     (a) Panopticlick distribution (Fig. 1 of [7])
                                             1000
         Frequency or Anonymity Set Size

                                             100
                                             10
                                             1




                                                        1          10              100              1000             10000            100000

                                                                             142,023 distinct fingerprints

                                                                             (b) AmIUnique distribution
                                                            Fig. 11. Distribution of ﬁngerprints w.r.t. anonymity set size


                                                                                         892
                         1.0




                         0.8




                                                                                                                                                   Firefox (258,898)
Proportion of browsers




                         0.6                                                                                                                       MSIE (57,207)
                                                                                                                                                   Opera (28,002)
                                                                                                                                                   Chrome (64,870)
                                                                                                                                                   Android (1,446)
                                                                                                                                                   iPhone (6,907)
                                                                                                                                                   Konqueror (1,686)
                                                                                                                                                   BlackBerry (259)
                         0.4                                                                                                                       Safari (35,055)
                                                                                                                                                   Text mode browsers (1,274)




                         0.2




                         0.0
                               8                              10               12               14              16              18
                                                                                     Surprisal (bits)
                                                                                    (a) Panopticlick distribution (Fig. 2 of [7])
                                                        0.4




                                                                       Firefox (52,395)
                                                                       Chrome (47,698)
                                                                       Safari (9,464)
                                                                       IE (5,178)
                                                                       Opera (2,740)
                                                                       Others (2,343)
                                                        0.3
                               Proportion of browsers

                                                        0.2
                                                        0.1
                                                        0.0




                                                                   8                   10                12                14                 16

                                                                                                     Surprisal (bits)

                                                                                            (b) AmIUnique distribution
                                                                       Fig. 12. Surprisal distributions for different categories of browser



                                                                                                        893
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               Number of Browsers in Anonymity Sets of Size k




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                                                                               1                                                                                    10                                                                                       100                                                                                     1000                                                                  10000

                                                                                                                                                                                                                                       Anonymity Set Size, k

                                                                                                                                                                                                                   (b) AmIUnique distribution
                                                                  Fig. 13. Number of users in anonymity sets of different sizes, considering each variable separately


                                                                                                                                                                                                                                                                             894
