---
type: Whitepaper
title: "Clock Around the Clock: Time-Based Device Fingerprinting"
description: Timing how long ordinary API functions take to run reveals a device clock crystal variation, giving a hardware fingerprint. The CryptoFP tool measures HTML5 Crypto API calls from JavaScript, letting a site re-identify a visitor and tell apart machines with identical hardware and software, with nothing stored on the client.
resource: "https://www.eurecom.edu/publication/5664/download/sec-publi-5664.pdf"
tags: [whitepaper, webseclist-reference, timing-attack, side-channel, info-leak, javascript, measurement-study]
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    title: "Clock Around the Clock: Time-Based Device Fingerprinting"
    author: Iskander Sanchez-Rola, Igor Santos, Davide Balzarotti
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authors:
  - Iskander Sanchez-Rola
  - Igor Santos
  - Davide Balzarotti
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# Clock Around the Clock: Time-Based Device Fingerprinting

**Clock Around the Clock: Time-Based Device Fingerprinting** - Iskander Sanchez-Rola, Igor Santos, Davide Balzarotti, Publisher not stated.

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# Clock Around the Clock: Time-Based Device Fingerprinting

Clock Around the Clock: Time-Based Device Fingerprinting
             Iskander Sanchez-Rola                                                     Igor Santos                               Davide Balzarotti
        Deustotech, University of Deusto                               Deustotech, University of Deusto                               Eurecom
          iskander.sanchez@deusto.es                                         isantos@deusto.es                              davide.balzarotti@eurecom.fr
ABSTRACT                                                                                        1    INTRODUCTION
Physical device fingerprinting exploits hardware features to uniquely                           A large number of physical device fingerprinting techniques have
identify a machine. This technique has been used for authentication,                            been proposed over the years to uniquely identify a device based
license binding, or attackers identification, among other tasks. More                           on its physical features [3, 5, 14, 27, 32, 33]. The application of these
recently, hardware features have also been introduced to identify                               techniques also varies, and includes device authentication, soft-
web users and perform web tracking. A particular type of hardware                               ware license binding, attackers identification [12, 23], and wireless
fingerprint exploits differences in the computer internal clock sig-                            network identification [2, 13].
nals. However, previous methods to test for these differences relied                               More recently, hardware-level features have also been adopted
on complex experiments performed by running native code in the                                  to create more precise forms of web tracking. In what is normally
target machine.                                                                                 called web device fingerprinting, the owner of a website computes a
   In this paper, we show a new way to compute a hardware finger-                               unique identifier for each visitor’s machine, without storing any
printing, based on timing the execution of sequences of instructions                            information on the client side — thus making these techniques
readily available in API functions. Due to its simplicity, this method                          easier to hide and harder to block or mitigate. Its stateless nature
can also be performed remotely by simply timing few seemingly                                   is what makes device fingerprinting particularly relevant for web
innocuous lines of JavaScript code. We tested our approach with                                 tracking. Since the user’s unique identification is computed every
different functions, such as common string manipulation or wide-                                time she visits a website, it is not possible for the user to remove the
spread cryptographic routines, and found that several of them can                               fingerprint, making this more difficult to avoid than older stateful
be used as basic blocks for fingerprinting.                                                     web tracking approaches. We can distinguish between two types of
   Using this technique, we implemented a tool called CryptoFP.                                 device fingerprinting techniques: we refer to those that are based
We tested its native implementation in a homogeneous scenario,                                  on browser artifacts as attribute-based device fingerprinting and to
to distinguish among a perfectly identical (both in software and                                those based on hardware-level features as hardware-level device
hardware) set of computers. CryptoFP was able to correctly dis-                                 fingerprinting. Attribute-based techniques relies on different ac-
criminate all the identical computers in this scenario and recognize                            cessible browser attributes such as the list of installed fonts, the
the same computer also under different CPU load configurations,                                 UserAgent string, and the screen resolution. Since these attributes
outperforming every other hardware fingerprinting method. We                                    change often and are easy for the user to modify, the resulting
then show how CryptoFP can be implemented using a combination                                   fingerprint also rapidly evolves – thus preventing a stable, long-
of the HTML5 Cryptography API and standard timing API for web                                   lasting tracking [41]. In contrast, hardware-level techniques exploit
device fingerprinting. In this case, we compared our method, both                               subtle differences in the underlying hardware that are detectable by
in the same homogeneous scenario and by performing an experi-                                   invoking certain APIs to compute the differences between devices.
ment with real-world users running heterogeneous devices, against                               For instance, it is possible to compute differences in the way text
other state-of-the-art web device fingerprinting solutions. In both                             is rendered by the HTML5 Canvas API or by using the WebGL
cases, our approach clearly outperforms all existing methods.                                   API [30]. Even though these techniques are very promising and less
                                                                                                prone to periodic changes than attribute-based solutions, all the
KEYWORDS                                                                                        hardware-based techniques proposed to date depend not only on
device fingerprinting; web privacy                                                              the hardware itself, but also on the particular APIs implementation
                                                                                                in the target browsers.
ACM Reference Format:
                                                                                                   In this paper, we propose to look at code execution time as a way
Iskander Sanchez-Rola, Igor Santos, and Davide Balzarotti. 2018. Clock
Around the Clock: Time-Based Device Fingerprinting. In 2018 ACM SIGSAC
                                                                                                to precisely identify different devices. The time a computer spends
Conference on Computer and Communications Security (CCS ’18), October                           to execute an instruction depends on how many clock cycles the
15–19, 2018, Toronto, ON, Canada. ACM, New York, NY, USA, 13 pages.                             instruction requires, and on the duration of each cycle. Internal
https://doi.org/10.1145/3243734.3243796                                                         clocks use oscillators based on quartz crystals, and small variations
                                                                                                in those crystals can result in extremely small, but measurable,
Permission to make digital or hard copies of all or part of this work for personal or           differences in the clock frequency. Researchers have already pro-
classroom use is granted without fee provided that copies are not made or distributed
for profit or commercial advantage and that copies bear this notice and the full citation       posed to use these differences to uniquely fingerprint different
on the first page. Copyrights for components of this work owned by others than the              devices [23, 34], but previous measurements were difficult to take,
author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or
republish, to post on servers or to redistribute to lists, requires prior specific permission
                                                                                                as they needed to analyze network traffic, and required an external
and/or a fee. Request permissions from permissions@acm.org.                                     reference time to compare with. Salo [35] proposed a solution to
CCS ’18, October 15–19, 2018, Toronto, ON, Canada                                               this problem by comparing two different clocks: the one used by
© 2018 Copyright held by the owner/author(s). Publication rights licensed to ACM.               the CPU and the independent one used to maintain the internal
ACM ISBN 978-1-4503-5693-0/18/10. . . $15.00
https://doi.org/10.1145/3243734.3243796                                                         timer. However, the proposed methodology strongly depends on
specific hardware, relied on custom snippet of assembly code, and        hardware machines. §5 details the specific implementation in the
required a long execution time to generate a stable fingerprint.         web, for a web device fingerprinting technique, evaluating this
   Our idea relies instead in the identification of readily available    method and comparing it with current state-of-the-art in hardware-
functions that, when repeated a sufficient number of times, can          level web device fingerprinting techniques, both in a homogeneous
be used to amplify the small differences between different clocks.       scenario environment and in an in-the-wild real world scenario
Those functions should contain enough instructions to achieve a          experiment. §6 discusses the major implications of this work. §7
sufficient precision, but not too many to be regularly interrupted       provides the reader with the required background on device finger-
by the OS scheduler. We then measure the execution time by using         printing and timing attacks, critically analyzing existing methods.
the datetime APIs, which rely on a separate clock than the one           Finally, §8 provides the concluding remarks.
used by the CPU to execute code. Our experiments show that this
approach can be used to precisely fingerprint a machine, even when
performed by using a snippet of JavaScript embedded in a web page.       2   FINGERPRINT ASSESSMENT
After testing with a set of candidate functions, we settled our proof    The goal of fingerprinting techniques is to uniquely identify a
of concept implementation on a simple cryptographic routine to           target entity. This entity can be a browser, a physical machine, or
generate pseudo-random numbers, as it is widely available and it is      even a user across different personal devices. Despite the large
commonly used as basic block in many popular applications.               number of fingerprinting techniques proposed by both academia
   Our experiments demonstrate that subtle differences in the exe-       and industry (see §7 for more details) — or already discovered in
cution times of this cryptographic function are sufficient to capture    the wild, the security community has not come yet to a consensus
the differences among different machines, outperforming all hard-        on which characteristics need to be measured to properly evaluate
ware device fingerprinting techniques proposed to date. To obtain a      and compare between fingerprinting solutions.
baseline to compare the fingerprinting capabilities of our approach,        For instance, for web-based fingerprinting approaches, the cross-
we first implemented a native version of our method in C. The            entropy and the size of the anonymity set are used as the “de facto”
tool was stress-tested in a scenario with hundreds of computers          evaluation standard procedure across multiple papers [6, 9, 26].
equipped with the exact same hardware and software. Then, in             While certainly important, they fail to capture many important as-
order to verify that our solution can also be used for web device fin-   pects of a fingerprinting procedure, such as its resilience to changes
gerprinting, we implemented a web version of our algorithm using         in the user browser (e.g., due to a software update) or the overall
the HTML5 Cryptography API — that ultimately invokes the same            efficiency of the computation process.
operating systems functionalities we relied upon in the C version.          In this paper, we propose a rich set of metrics to be used as a
This web implementation was tested using the same homogeneous            new basis to measure the quality of different fingerprints. This set
scenario composed of computers with same software and hardware           includes six “desired” characteristics of a fingerprint:
configuration as well as a real-world scenario including different
users who visited our public experiment website, making a total of           • Discrimination Power: The discrimination power of a fin-
565 different users.                                                           gerprint is defined as its ability to produce different finger-
   In summary, our main contributions are:                                     prints for different targets. This can measure the ability to
                                                                               uniquely identify a target among a set of possible candidates.
    • We show that a timing side-channel present in all modern               • Stability: The stability of a fingerprinting technique is its
      computers can be used to uniquely identify a machine among               ability to always produce the same fingerprint for the same
      a large number of possible (identical or not) candidates.                target over multiple measurements.
    • We present a specific implementation of our time-based fin-            • Homogeneous Discrimination: This property measures
      gerprinting technique based on simple cryptographic func-                the discrimination power of a technique in the case in which
      tions. We tested our solution in a homogeneous scenario                  the targets belong to the same homogeneous family, and
      for device fingerprinting evaluations that tackles the main              they are therefore similar among each other.
      limitations of previous tests by including measures to deal            • Efficiency: This feature simply measures the time required
      with homogeneous targets.                                                to generate the fingerprints and check them against a data-
    • We ported our technique to the Web using the HTML5 Cryp-                 base of previous candidates.
      tography API library. This makes our solution available as a           • Resilience to Evasion: Since there exist methods to avoid
      web device fingerprinting technique. We show that our tech-              fingerprinting or at least to reduce its consequences, this fea-
      nique overcomes the state-of-the-art hardware-based device               ture takes into account whether a fingerprinting technique
      fingerprinting techniques both in a homogeneous scenario                 is resilient to known or possible evasions.
      and in a real-world web fingerprinting experiment.                     • Resilience to Change: This final characteristic captures the
   The remainder of the paper is organized as follows. §2 proposes             ability of a fingerprinting technique to remain stable over
a new set of features for assessing fingerprinting methods, tackling           time. Some techniques use features that naturally evolve,
the current limitations regarding fingerprinting methods evaluation.           thus resulting in a fingerprint that can be associated to a
§3 details the proposed hardware machine fingerprinting method,                target only for a limited time window. Indeed, a recent pa-
explaining the reasons that make these new techniques to work ac-              per [41] has studied the evolution of existing techniques and
curately. §4 evaluates the native method in a homogeneous scenario             has found that the vast majority of the general fingerprints
environment, showing that it can discriminate between identical                changes in less than 10 days.
   Unfortunately, current evaluation procedures usually assess only      3     HOST FINGERPRINTING BASED ON CLOCK
the discrimination power (by measuring both the cross-entropy                  IMPERFECTIONS
and the anonymity sets) and sometimes the efficiency of a solution.
                                                                         In this section we present a new machine fingerprinting technique
However, we believe that all features are equally important to
                                                                         based on timing the execution of several invocations, performed
comprehensively assess a new fingerprinting technique.
                                                                         using different parameters, of a properly selected function. The
   In particular, the stability has been surprisingly omitted from
                                                                         main assumption behind our solution is that it is possible to mea-
many evaluations presented to date. If a fingerprint lacks stability,
                                                                         sure small variations on the execution time of a sufficiently long
it means that the procedure may generate erroneous fingerprints
                                                                         sequence of instructions that are introduced by imprecisions and
or that the result includes a certain level of noise, misleading the
                                                                         imperfections (also known as “process variation” in the VLSI and
identification. Please note that stability should not be mistaken with
                                                                         architecture communities) of the machine clock crystal .
resilience to change. The latter deals with the natural fingerprint
evolution over time, rather than the fact that a technique may return    3.1    Threat Model and Use Cases
different values for the same device when executed multiple times.
   In a similar vein, the most common way researchers used to            We test our time-based fingerprinting method in two different yet
compile a test set for a new fingerprinting method and to compute        complementary scenarios. In the first one, we implement our tech-
its discriminatory power is to host it on a web page and share           nique in C and use it to tune our algorithm, while providing a
its URL with a large number of users. In this case, the number of        baseline for comparison for the remote scenario. In the second use
different configurations both in hardware and software is high, even     case, we port our technique to the web device fingerprinting sce-
more if we consider that most of the machines will be commodity          nario, implementing it in HTML5 and, thus, testing its ability to
user computers. This setting results in some attributes, such as         fingerprint machines over the web.
the UserAgent, to show a very high cross-entropy [26], against              Host-based Fingerprinting. In this first scenario (detailed and
intuitive observations. A more homogeneous environment (e.g., the        tested in §4), we test the accuracy of our time-based device finger-
set of many similar or identical computers that form many company        printing technique running natively in the target operating system.
networks) would provide a much more challenging environment              We perform this test even when it is known that you can finger-
to assess the fingerprinting precision.                                  print the clock natively to show the capabilities of our method and
   Finally, with the notable exception of Cao et al. [6], no finger-     provide a baseline for the web version. Here, we assume the entity
printing has taken into account the error introduced by possible         interested in computing the fingerprint is able to run arbitrary code
changes in the user browser or operating system. This is another         with user privileges in the physical machine. For instance, this is the
fundamental aspect of the problem, as even the most accurate solu-       case of (i) malicious applications that want this information to per-
tions is of limited use if the fingerprints changes every time a user    form selective attacks against certain victims, and (ii) proprietary
reboots the computer or installs a software update.                      applications that want to bind a license to a single machine.
   To better understand the importance of these metrics, we re-             Web-based Fingerprinting. The second scenario is more chal-
viewed the characteristics of a number of current state-of-the-art       lenging, as we imagine that the entity who wants to compute the
fingerprinting methods, namely (i) Attribute-based FP, (ii) Can-         fingerprint is now an arbitrary website containing JavaScript code.
vasFP, (iii) WebGL FP and (iv) AudioFP. It is important to remark        In this case, it is not possible to run arbitrary instructions on the
that this comparison is only based on what has already been tested       CPU, as modern browsers introduce numerous intermediate layers
by the original authors (in the particular case of WebGL, we con-        between the JavaScript code and the final CPU instructions. The
ducted experiments using the available open-source tool) or based        goal of this scenario is to test if our approach can also be remotely
on the design of the fingerprinting method.                              executed over the web, thus resulting in a very powerful new tech-
   Interestingly, none of the methods described so far is resilient to   nique for device fingerprinting. Also in this case, we can envision
changes in the target environment — with the exception of the afore-     two different scenarios: (i) advertisers or tracking companies can
mentioned work by Cao et al. [6]. For instance, a simple graphic         use it to obtain the browsing history of their users, and (ii) web-
driver update can completely modify the fingerprint obtained by          sites that require strong authentication (e.g., banking and shopping)
CanvasFP or WebGL. Evasion can also be easily implemented for all        can use this technique to include an additional verification to their
the methods, and actually most of them are already completely inef-      process.
fective against the Tor Browser. According to the results presented
in their respective papers, all techniques are capable of discrimi-      3.2    Existing Approach
nating different targets (note that we have grouped attribute-based
                                                                         The detection of clock imperfections for fingerprinting purposes
fingerprinting together as they are usually utilized altogether). We-
                                                                         has already been exploited on a single CPU by Salo [35], but this
bGL was poor on the efficiency axis, as the version we tested re-
                                                                         solution required complex native experiments (which made the
quired several seconds to build a single fingerprint. Unfortunately,
                                                                         technique difficult to use in the real world) and were not able to
the homogeneous discrimination and stability are difficult to esti-
                                                                         successfully discriminate all machines involved in the test. To detect
mate. Since we consider all of these features equally important, we
                                                                         the imperfections, Salo proposed to compare the CPU clock cycles
will compare our method and the state-of-the-art hardware-level
                                                                         of ticks in the clock with the cycles needed for the digitalization of
fingerprinting methods along all these dimensions in §7.
                                                                         an analog signal using the sound card (all validated by an external
                                                                         GPS receiver). Afterwards, the author computed different statistical
tests to distinguish among different machines. Several factors play           Input: n, number of timings to perform
a crucial role for this technique to work:                                    Input: m, number of arrays of these timings to generate.
   (1) The program needs to have access to the CPU clock cycles,              Output: f p, array of arrays of numbers representing the
       which is not a big problem for a low-level programming                          fingerprint: each position are the result of timings
       language as C or C++, but is not a common option in high-                       with a different parameter for a function.
       level languages as JavaScript. Furthermore, some specific          1  Function FPGeneration (n, m)
       tuning needs to be done depending on the specific type of          2     i ← 1;
       CPU used in the experiments.                                        3    f p ← f loat[][] of size n × m;
   (2) The sound card used for the digitalization must not rely
                                                                           4    while i ≤ m do
       on the CPU clock and should use an independent crystal-
                                                                           5        j ← 1;
       controlled oscillator.
                                                                           6        while j ≤ n do
   (3) To obtain enough data to successfully distinguish between
                                                                           7           startTime ← GetCurrentTime() ;
       two or more machines, the experiment needed to run for
       approximately one hour.                                             8           Function(j);
                                                                           9           endTime ← GetCurrentTime();
   These limitations show that the technique strongly depends on
                                                                          10           loдTime ← endTime − startTime;
some specific hardware, tuning, and a long computation time —
making the entire approach poorly usable in practice. Even when           11            f p[j][i] ← loдTime;
these requirements are satisfied, the method can only be used with        12           j ← j + 1;
low-level programming languages that can obtain direct control            13        end
over the CPU clock cycles. Moreover, the results obtained show            14        i ← i + 1;
that despite many machines (from the 38 analyzed) could be differ-        15    end
entiated, not all were correctly identified.                              16    return f p;

3.3    Our Approach: Time-Based Device                                                Figure 1: Fingerprint Generation Algorithm.
       Fingerprinting
We now present our approach, which takes just some milliseconds
                                                                             As the technique is not based on computing the same function
to execute, can be used both in low or high level programming
                                                                          with the same input all the time, but executing the same function
languages, and is not dependent on any specific hardware. Our
                                                                          with different inputs, the matrix structure allows a quick compar-
algorithm is divided into two different phases: the generation of the
                                                                          ison with other fingerprints. For example, following the case of
fingerprint performed by timing a given function, and the compari-
                                                                          generating random numbers presented before, we can easily check
son phase in which we test whether a pair of fingerprints (which
                                                                          the differences between the fifth execution of the function that
consists of a matrix of time results) belong to the same machine.
                                                                          generated 20 random numbers in one computer with exactly their
                                                                          counterpart on another computer.
   3.3.1 Fingerprint Generation. In this phase, the algorithm com-
putes the time required to execute different invocations of a target         3.3.2 Fingerprint Comparison. In this phase, the system com-
function (see Figure 1 for the detailed pseudo-code of the algo-          pares two previously-computed fingerprints and determines whether
rithm). The algorithm takes one parameter n that indicates the            or not they belong to the same machine (for the detailed pseudo-
number of calls to measure. Moreover, for the sake of simplicity, in      code of the algorithm refer to Figure 2). To this end, we compute
the example in Figure 1 we have assumed that this number is also          the most frequent timing values (the mode) for each call parameter
used as parameter for the function itself. For instance, if we use        over all iterations. Afterwards, the mode of the first fingerprint is
a function that generates random numbers, we will consecutively           compared with all the generated values for the same call in the
create different number of random values, allowing us to time the         second fingerprint. If one match is found, a counter is incremented.
functions in different situations depending on the input.                 This process is then repeated, inverting the order and checking the
   There are many factors that can cause performance variability in       most common values in the second one with all the values from the
non-deterministic ways. Pure hardware-level factors as Cache/TLB          first one. If the number of matches divided by the number of com-
misses and sharing the pipeline resources with other threads co-          parisons surpasses a fixed threshold, then our algorithm concludes
scheduled on the same core (hyper-threading) or even OS’s DVFS            that the two fingerprints belong to the same machine.
(Dynamic Voltage Frequency Scaling) decisions. Because of all these          For example, suppose we want to compare the following two
possible non-deterministic factors, a single measure is insufficient to   fingerprints f p1 and f p2 , each composed of three repetitions of
obtain a stable measurement. In order to obtain stable fingerprints,      three different timing results of the invocation of a given function:
our method uses an additional parameter m that determines the                 f p1 = [{0.1; 0.12; 0.14}, {0.1; 0.12; 0.13}, {0.1; 0.12; 0.13}]
number of times this process is repeated, to achieve a real represen-         f p2 = [{0.1; 0.12; 0.14}, {0.11; 0.12; 0.14}, {0.1; 0.12; 0.13}]
tation of the machine independently of different specific situations.
As a result, the final fingerprint is a n ∗m matrix of execution times.      We start by generating the mode of the timing values of f p1 :
To sum up, there are m function calls, with specific values as input,     {0.1; 0.12; 0.13} and comparing each of the three values with the
computed for each of the n rows of the timing matrix.                     values in the three value sets of f p2 , resulting in three positive
     Input: f p1, 1st array of arrays of timing results sized n × m.              Table 1: Results of the Function Viability Test.
     Input: f p2, 2nd array of arrays of timing results sized n × m.
     Input: n, number of timings for different parameters.                              Function               Stable Fingerprint
     Input: m, number of arrays of timings generated.
     Output: indicates the number of coincidences                                       string::compare                  ✓
                                                                                        std::regex                       ✓
1  Function GetNumCoincidences ( f p1, f p2, n, m)                                      std::hash                        ✓
2     num_coindences ← 0;                                                               crypt                            ✗
      /* Compute the mode of each number in f p1                   */
 3    f p1_mode ← f loat[];
 4    i ← 1;                                                               f p2 being their mode values: {0.1; 0.12; 0.14} and also getting all of
 5    while i ≤ n do                                                       them matched in the f p1 set. The first and seconds values appear
 6        f p1_mode[i] ← ComputeMode( f p1[i]);                            in all the iterations of f p1 , and the third value appears in the first
 7        i ← i + 1;                                                       iteration. In conclusion, vectors do not need to be identical, but
 8    end                                                                  match each of the values of the mode with, at least, one of the
      /* We compute the number of coincidences                     */      value in the same position on another fingerprint. In this case, the
 9    i ← 1;                                                               percentage of similarity would have been 100% which, as a perfect
                                                                           match, would be above the threshold and our method would have
10    while i ≤ n do
                                                                           determined that both fingerprints belonged to the same computer.
11        check ← false;
                                                                              By using this procedure, we are computing and comparing the
12        j ← 1;
                                                                           most common timing values — and, therefore, the most representa-
13        while (j ≤ m) ∧ (¬check ) do                                     tive ones — among the measurements conducted on the two ma-
14            if f p1_mode[i] = f p2[i][j] then                            chines. This reduces the inevitable noise introduced in the timing
15                num_coindences ← num_coindences + 1;                     measurements and reduces the impact of unusual values.
16                check ← true;
17            end                                                             3.3.3 Function Selection. Before settling on a final choice, we
18            else                                                         decided to perform a preliminary set of tests to assess the differ-
19                 j ← j + 1;                                              ent candidate functions. In particular, we evaluated the functions
20            end                                                          string::compare, std::regex, std::hash, and crypt. While our
                                                                           technique would work also by using a custom, system-independent
21        end
                                                                           function, we decided to base our tests on a set of common routines
22        i ← i + 1;
                                                                           that can be easily found in many different systems. This increases
23    end                                                                  the portability of our approach as it does not require to install or
24    return num_coincidences;                                             inject any additional code. The evaluation was performed on a set
     Input: f p1, 1st array of arrays of timing results sized n × m.       of ten different machines, half of which installed with Microsoft
     Input: f p2, 2nd array of arrays of timing results sized n × m.       Windows and the other half installed with GNU/Linux. We also
     Input: n, number of timings for different parameters.                 computed different tests with the aforementioned functions to em-
     Input: m, number of arrays of timings generated.                      pirically validate the best size of the measurement matrix, taking
     Input: t, threshold to consider the fingerprint the same              into account the generation time and the fingerprint discrimina-
     Output: indicates if f p1 corresponds to f p2                         tion capabilities. Based on these preliminary tests, we found that
                                                                           n = 1000 and m = 50 (i.e., a total number of 50,000 invocations) are
25 Function FPCheck ( f p1, f p2, m, n, t )                                sufficient to provide stable results.
      /* We compute the coincidences amid the most                            Table 1 shows the obtained results. crypt was the only function
         frequent values in f p1 in f p2                */                 whose fingerprint was not stable because, due to its complexity, it
26    num ←GetNumCoincidences(f p1, f p2, n, m) ;                          was often interrupted by the operating system scheduler — thus
      /* We compute the coincidences amid the most                         preventing our algorithm to accurately time its execution. For the
         frequent values in f p2 in f p1                */                 remaining functions, it is important to note that simpler functions
                                                                           required to compute the execution time of multiple consecutive
27    num ← num+ GetNumCoincidences(f p2, f p1, n, m) ;
                                                                           invocations to find a stable fingerprint. This issue is controllable
      /* We check if the threshold is surpassed         */
                                                                           by simply adding more iterations.
28    return ( num
                n ·2 )) ≥ t);                                                 In summary, we investigated and evaluated if our fingerprinting
                                                                           algorithm can be built on top of multiple, diverse functions. Ac-
                     Figure 2: Checking Algorithm.                         cording to our results, different candidates provided good results,
                                                                           in particular when they were sufficiently complex but not too long
                                                                           to be often interrupted by the scheduler.
matches. The first value appears in the first and third iteration of
f p2 , the second value appears in the all the iterations, and the third     3.3.4 Stability Tests. In order to determine the viability of the
value appears in the last iteration. Then, we will do the same with        proposed approach for machine fingerprinting, we conducted three
additional tests. The setup for these stability tests is the same as     3.4    CryptoFP
the one used for the function selection. We checked if the obtained      Since this clock-based fingerprinting method works with virtually
fingerprint of each machine can still identify the machine in the        any simple function, we selected one based on its general availabil-
following cases:                                                         ity and on the possibility to generalize our results and compare our
                                                                         host-based and web-based approaches.
    • CPU Load: We tested the influence of different CPU load               According to these criteria, the selected function should be avail-
      conditions on the fingerprint generation process. In our ex-       able in different forms but in all possible system. In fact, since one
      periments, we controlled the CPU workload by using the             of our goals is to implement a web version of this device finger-
      stress generator included in the Debian distribution [15]          printing technique, it should be available also in JavaScript, called
      and the corresponding tool part of Windows Sysinternals [19].      by a wrapper in this scripting language.
      We discovered that even in the scenario of 100% CPU load,             Based on the results of our preliminary tests, we decided to
      the resultant fingerprint was always correctly associated.         implement our prototype by timing the execution of the pseudo-
      This is a consequence of the fact that each function invo-         random generator APIs (e.g., CryptGenRandom/RtlGenRandom in
      cation gets executed in a single CPU with no interruption,         Microsoft Windows). These cryptographic functions are available
      and therefore without any side-effect introduced by other          in every system and also are accessible through JavaScript, which
      concurrent processes.                                              meet all our requirements.
    • CPU Temperature: We also tested whether significant en-
      vironmental temperature changes would invalidate the fin-          4     HOST-BASED FINGERPRINTING OF
      gerprint, as previous works have observed that the frequency             IDENTICAL TARGETS
      of the quartz crystal increases with temperature [31]. Dur-
                                                                         Since the common evaluation procedure used to measure finger-
      ing our normal experiments, the regular CPU temperatures
                                                                         printing techniques does not take into account several important
      were generally around 38 degrees Celsius. Hence, we tried to
                                                                         features, we first propose our own methodology (detailed in §4.1)
      stress the CPU for 20 minutes at 100% load, successfully dou-
                                                                         that is able to capture the two main omissions of previous ap-
      bling the internal temperature (as reported by the internal
                                                                         proaches: (i) the impact of targets heterogeneity and (ii) the actual
      sensor). However, even if under these conditions the clock
                                                                         stability of a fingerprint within the same machine.
      skew reported in previous studies [25] should have resulted
                                                                            To evaluate CryptoFP, we implemented a native version of the
      in a measurable difference in our timing experiments, we did
                                                                         algorithm. This version calls directly the function that generates a
      not observe any variations or errors in our fingerprint iden-
                                                                         series of random numbers. We also repeated the tests described in
      tification. A possible explanation for this discrepancy is that,
                                                                         §3.3.4, confirming that there was not effect introduced by the CPU
      while the increase in temperature can impact clock-based
                                                                         load, internal temperature, or long-term stability of the fingerprint.
      measurements, our approach relies on the difference of two
                                                                         We also conducted several experiments with a subset of different
      clocks physically located in the same machine. Therefore,
                                                                         computers in order to properly tune the similarity threshold used
      both are likely impacted by the temperature change, thus
                                                                         by our algorithm, resulting in a value of 0.5 (i.e., two fingerprints
      reducing the effect of the higher temperature and compen-
                                                                         are considered to belong to the same machine if there is at least 50%
      sating the changes introduced in their frequency. As a result,
                                                                         of positive matches when comparing them, as shown in Figure 2).
      while the difference introduced by the temperature in one
      single clock may be relevant, the difference in the delta be-
                                                                         4.1    Methodology
      tween two closely-located clocks may be too small to affect
      our fingerprint.                                                   The current evaluation methodology for fingerprinting techniques
    • Long-term Stability: We evaluated if the generated finger-         measures two features: the entropy of the fingerprinting and the
      print remains stable over time during a normal use of the          size of the anonymity sets [26]. These are often used to replace other
      machine. In this case, we repeated our tests respectively one      widely accepted and more conventional metrics, such as precision
      and two months after the fingerprint was first generated and       and recall, that are rarely used in this specific area as they provide
      found no problem in the identification process.                    a less precise image of the discrimination power of a fingerprinting
                                                                         technique. Therefore, we also decided to use similar measurements
                                                                         to be able to compare our results with those obtained in previous
   We selected fingerprinting functions that can be executed with-
                                                                         studies. In fact, since the fingerprint generation process in all major
out interruption on a CPU. This guarantee that the collected timing
                                                                         techniques results in a hash or in an identifier, it is possible to
information is not affected by side-effects introduced by other con-
                                                                         compute the entropy — i.e., a representation of global uniqueness —
current processes, making the measure independent from the CPU
                                                                         among a set of tested devices. Moreover, due to the nature of these
and/or I/O workload of the machine. When running the native
                                                                         methods, if a particular machine A has the same fingerprint of B
measurement, we checked it was executed without interruption
                                                                         and B matches a third machine C, C will always match with both A
by using transactional memory. However, we could not guarantee
                                                                         and B. This transitivity allows the computation of anonymity sets.
the same property when the fingerprint is executed remotely over
                                                                            However, CryptoFP works differently and does not generate a
the web. Therefore, the scheduler might have interrupted some of
                                                                         unique identifier. Instead, it produces fingerprint information that
the executions, but this is mitigated by the multiple calls to the
                                                                         needs to be compared with the one collected on other machines to
function performed in the fingerprinting generation phase.
                                                                         identify possible matches. In other words, it produces some sort of
fuzzy hash, which cannot be simply matched against other candi-                 the same fingerprint, but the number of computers with
dates, but requires a comparison routine to compute the similarity              the same number of positive matches with other computers.
among two values. Also, in our case, the final result is not a direct           To make it more clear, we are presenting a simple example.
comparison of identifiers but a similarity score based on the de-               Imagine four different machines: A, B, C and D.
scribed matching procedure. This approach has been intentionally                – A matches B
designed to be more resilient to noise in the timing of the genera-             – B matches A and D
tion of random numbers and results in a greater accuracy. However,              – C matches D
due to this design, the transitivity property does not hold anymore             – D matches C
— thus making CryptoFP difficult to evaluate using entropy or                   In this case A, C and D have a set size of one, and B a set size
anonymity sets as the obtained results (e.g., the entropy of our                of two (because it matches two other machines).
time matrix) would not be comparable with the entropy values of
previous approaches. In our evaluatuon, we will use an adaptation           We run our CryptoFP native implementation in the two different
of the anonymity sets.                                                   sets (commodity computers running Microsoft Windows 7) and
                                                                         measured the properties introduced above. Using the threshold
   4.1.1 Homogeneous Scenario. Previous experiments were per-            empirically computed in §3.3.3 (n = 1000 and m = 50) the test took
formed by asking users to visit a website hosting the fingerprinting     just a few milliseconds, although obviously the exact computing
code. Therefore, users were likely using a browser running on            time depends on the specific machine.
commodity computers with different hardware, software, and con-
figurations. While this is a realistic experiment (we will also use
the same to further evaluate the web version in §5.2), it fails to
                                                                         4.2    Results
capture the discrimination capability of the fingerprinting method,      As described above, we present our results using the Identical
as the check strongly depends on the heterogeneity of the tested         Comparison Sets metric, which is an adaption of the well-known
machines. For instance, if there are no computers with the same          anonymity set method for fingerprint evaluation, obtained by sub-
specific set of characteristics in the dataset, a simple hardware test   stituting “identical fingerprints” by “identical fingerprint compar-
can differentiate each client with 100% certainty. However, both         isons”. Therefore, in our particular cases we have a 0–175 possible
companies and universities often rely on large numbers of identical      values for identical comparisons for the first set of computers and
machines, which can greatly complicate fingerprinting. To take this      0–88 in the other, where 0 means that the particular computer had
into account, we propose a homogeneous scenario evaluation that          no match and the maximum value meaning the computer matched
includes the next points:                                                every other machine in the group.
                                                                            Furthermore, we tested the stability of our method repeating
    • Homogeneity: In order to provide homogeneity and test
                                                                         the generation of the fingerprinting three times in each computer
      our fingerprinting technique with the same hardware com-
                                                                         and validated that, in all cases from both scenarios, CryptoFP was
      puters rather than with different computers, we performed
                                                                         always able to identify the computer. Regarding the discrimina-
      our experiments using two groups of machines with per-
                                                                         tion capabilities, the native version of CryptoFP with a similarity
      fectly identical software (installed through a disk image) and
                                                                         threshold of 50% was able to distinguish every computer in each
      hardware components. The groups included 176 and 89 com-
                                                                         group. In other words, the uniqueness of our method in both tests is
      puters, respectively. Thanks to this setup we can identify
                                                                         100%, even when both hardware and software in the computers are
      whether our fingerprinting algorithm is really distinguishing
                                                                         identical. This shows that CryptoFP is capable of detecting clock
      hardware imperfections and to what extent it is possible to
                                                                         crystal imperfections in order to accurately distinguish machines.
      discriminate exactly identical hardware.
    • Stability: We define the stability of the fingerprint as the          Please note that even thought we did not observe any in our
      ability to identify the same computer repeatedly. This mea-        experiments, collisions may occur on larger sets of identical targets.
      sure has not been tested before in many previous studies, as       However, in most of the possible use cases, this is an acceptable
      authors assumed the property to be true by default. However,       result. In fact, if a user has a license bound to some machine, it is
      there may be some circumstances, such as specific hardware         not very likely that she can test the software on tens of thousands
      availability, general CPU workload, and number of concur-          of other identical machines just to find another one in which the
      rent process, that can affect and jeopardize the identification.   software can be used. Our algorithm had no collisions in a lab
      Therefore, we repeated the CryptoFP generation phase three         containing 176 identical machines and another with 89 identical
      times for each computer. Each measurement was performed            machines, which is a sufficient guarantee in most use cases.
      ten minutes apart. We then compared all results to check if
      the extracted fingerprints were always matching.
    • Discrimination: Since our fingerprinting does not produce
                                                                         5     WEB IMPLEMENTATION OF CRYPTOFP
      a hash but it needs a comparison phase, we cannot use the          The HTML5 Web Cryptography API is able to interact with crypto-
      common measures like entropy or anonymity sets. Instead,           graphic keys and functions managed by users. A very important
      we adapted the anonymity set measurement to an identical           aspect for our hardware-level device fingerprinting to work at na-
      comparison set size that translates the idea behind anonymity      tive level even from the web is that “the API itself is agnostic of the
      sets to the comparisons performed by our method. In this           underlying implementation of key storage” [42]. Its main objective
      way, the size is no longer the number of computers with            is to provide just an interface or wrapper that allows system-level
                                                                       
 1    void RandBytes ( void * output , size_t output_length ) {             just a few milliseconds. In order to determine the specific threshold
 2      char * output_ptr = static_cast < char * >( output ) ;              for the web implementation of CryptoFP, we performed various
 3      while ( output_length > 0) {
 4        const ULONG output_bytes_this_pass = static_cast <                preliminary tests. As the timing precision offered by HTML5 is
                ULONG >( std :: min (                                       smaller than the native timing functions, the threshold was finally
 5        output_length , static_cast < size_t >( std ::                    set to 100% for the comparison of time matrix.
                numeric_limits < ULONG >:: max () ) ) ) ;
 6        const bool success =
 7        RtlGenRandom ( output_ptr , output_bytes_this_pass )              5.2    Evaluation
                != FALSE ;
 8        CHECK ( success ) ;                                               In this case, we compare CryptoFP with the other three state-of-
 9        output_length -= output_bytes_this_pass ;                         the-art web hardware-level device fingerprinting techniques: (i)
10        output_ptr += output_bytes_this_pass ;
11      }                                                                   the famous canvas fingerprinting [30], (ii) the improved version of
12    }                                                                     WebGL fingerprinting [6], and (iii) the recently discovered audio
                                                                          fingerprinting [10]. This allows us to compare the discrimination
                                                                            capability and stability of the four different techniques.
Figure 3: Extract from the Chrome Implementation of                            As the web implementation is devoted to track users on the
generateRandomNumbers.                                                      Internet, we analyzed the fingerprinting techniques both in the
                                                                          homogeneous scenario presented in §4 and by using a classical
 1    size_t RNG_SystemRNG ( void * dest , size_t maxLen )                  web evaluation where users were asked to visit a website that
 2    {                                                                     performed all the techniques (making a total of 565 different users).
 3      size_t bytes = 0;
 4      if ( RtlGenRandom ( dest , maxLen ) ) {                             In this case, we informed the users about our experiments, and ask
 5        bytes = maxLen ;                                                  permission to collect the information that was going to be gathered
 6      }                                                                   by our tool. Users where using their own machines and had no
 7      return bytes ;
 8    }                                                                     restriction on what computer they were using, so therefore our
                                                                          dataset can contain both GNU/Linux and Microsoft Windows in
                                                                            many different versions. In addition, in order to protect the users
Figure 4: Extract from the Firefox Implementation of                        privacy, all the data collected was anonymous. We disseminated
generateRandomNumbers.                                                      the URL of the website through social networks and friends, asking
                                                                            them to participate in the study and further re-disseminate the link
                                                                            among their contacts.
cryptographic operations such as hashing, encryption, or decryp-
                                                                               As described in §4, all results are shown using the Identical
tion.
                                                                            Comparison Sets metric, that is an adaptation of the extensively
   This API offers several interfaces to cryptographic functions
                                                                            used anonymity set technique to evaluate fingerprinting methods.
through the window.crypto or window.crypto.subtle proper-
                                                                            Zero indicates that there is not other match in the dataset, and the
ties. The implemented methods can be very simple such as getRan-
                                                                            maximum number indicates that the fingerprint is the same in all
domValues to generate a set of random numbers, digest to gener-
                                                                            the computers.
ate hashes, or generateKey that generates keys for encryption.
                                                                               5.2.1 Homogeneous Scenario. In our experiments, we tested the
5.1      Implementation                                                     stability of our technique by repeating the fingerprint generation
We selected the simplest method available in the API, namely                three times in each computer. We found that all methods correctly
getRandomValues, for our device fingerprinting technique. Since             generate the same fingerprint in all our tests, with the exception of
our method is a timing side-channel attack, a complex crypto-               audio fingerprinting, that failed the stability test in 21% of the cases,
graphic method — although the actual operations are performed at            thus raising serious doubts about its possible use as fingerprinting
native level — may obscure our timing and make our fingerprint              technique with a basic hash comparison, regardless of other fac-
dependent not only in the underlying cryptographic functions, but           tors. For this reason, audio fingerprinting was removed from the
also in the Web Cryptography API itself.                                    following discrimination capability tests.
   We analyzed the implementations of this method in two major                 All methods took just few milliseconds to execute, with the
open-source browsers, Firefox and Chrome, and inspected the na-             exception of WebGL that required several seconds. Regarding the
tive cryptographic function calls which were performed when the             possible overhead, all methods are simple enough to result in no
function was invoked. For example, when running Microsoft Win-              observable slowdown, with again the exception of WebGL, which
dows, in both Chrome and Firefox , the generateRandomNumbers                relies on complex graphics checks and can therefore slow down
call finally leads to the native function RtlGenRandom to generate          navigation while it is being executed.
random numbers. For our experiments it is important, as shown in               We divided the comparison sets in five groups, one containing
Figure 3 and Figure 4, that the browser API is just a basic wrapper         computers that did not share any fingerprint, then three equally
for the native version, so the browser will not make other operations       divided groups containing respectively 1-58, 59-117, and 118-174
or memory accesses that may pollute the time measurement.                   positive matches in the 176 computer group and 1-28, 29-57, and
   Regarding the values for n and m, we will use the empirically            58-87 positive matches in the 89 computers set, and finally, one
computed values of 1000 and 50 as indicated in §3.3.3. The comput-          group with computers that shared their fingerprint with all the rest.
ing time needed for the generation and checking of the fingerprint is       CryptoFP was able to cover around 18% of the computers with
the two first sets for each of the computer groups (0-58 and 0-28
matches) and the percentage increases until 85% if we include the
third set (0-117 and 0-57 matches). Even if these results are far from
the perfect identification capability provided by the native method,
current top state-of-the-art hardware-level fingerprint methods
(canvas fingerprinting and the improved version of WebGL finger-
printing) could not differentiate any of the computers in none of the
two homogeneous groups, resulting in the same fingerprint for all
computers. Therefore, our solution clearly outperforms all previous
state-of-the-art hardware technique in this particular settings.                     (a) Identical Comparison Set Sizes for CryptoFP.
   Finally, the result of this experiment show that the web imple-
mentation of our technique is less precise than the native imple-
mentation, due to a more coarse-grain precision offered by the
HTML5’s performance.now timer. We will discuss different solu-
tions in order to improve the results of the web implementation
in §6. However, it is important to note that despite this limitation,
CryptoFP is still capable of distinguishing completely identical
hardware and software computers.
   5.2.2 Heterogeneous Scenario. In this case, we also divided the
                                                                               (b) Identical Comparison Set Sizes for the improved WebGl FP.
comparison sets in five groups, but instead of separating the sets
equally, we divided the sets every 5 matches, starting from 0 up to
15. The first group means that no additional matches were detected
apart from its own, the second group counts the number of com-
puter with 1-5 matches in the dataset of 300 computers, the next
groups between 6-10 and 11-15 matches, and the last group counts
the computers with more than 16 matches. In contrast to the homo-
geneous analysis, in this scenario, all the fingerprinting techniques
are able to differentiate computers, so this more fine-grained set
sizes will allow us to compare the methods more precisely.
   Looking at the results collected thought our public website, re-                  (c) Identical Comparison Set Sizes for CanvasFP.
ported in Figure 5, we can see that CanvasFP obtains only around
10% of completely unique fingerprints and the improved WebGl             Figure 5: Identical Comparison Set Sizes for CryptoFP, im-
FP around 15%, whereas CryptoFP achieves around 45% in exactly           proved WebGl FP and CanvasFP in-the-wild web evalua-
the same dataset. More in detail, CryptoFP covers 70% of all the         tion (300 different users involved). The colors represents the
involved computers with just the two first identical comparison          number of identical comparisons whereas the X axis repre-
sets (0-5). Specifically, more than half of the computer were either     sents the percentage of computers in the ranges.
completely unique or only matched another computer. However,
both CanvasFP and improved WebGl FP obtain only around 40%               the improved WebGL FP and CanvasFP follow a similar fashion,
with the two first identical comparison sets, which is less than just    with a 70% and 60% of uniqueness and nearly 100% and 90% coverage
the first set, unique fingerprints, of CryptoFP.                         when the second comparison set is included.
   The obtained results show the capabilities of the web version
of CryptoFP, which is outperforming all existing hardware device         6   DISCUSSION
fingerprinting solution, being able to obtain a better discrimination
                                                                            Generality. The assumption behind our approach is that any
also in a heterogeneous scenario.
                                                                         function can be timed and that this timing information can then
   Fingerprinting combinations. CryptoFP, as any other device fin-       be used to fingerprint subtle clock differences in the underlying
gerprinting techniques, does not necessary need to work as a stan-       machine. To confirm this hypothesis, we tested several functions in
dalone solution. Instead, it can be easily combined with other dif-      order to find out how generic the function selection can really be.
ferent techniques, as other approaches already proposed to date. As      After these preliminary tests involving functions of different nature,
a case study, we decided to combine all the hardware-level device        we realized that our method needs the function to be uninterrupted
fingerprinting methods with ours in order to increment the size          by the OS scheduler because, otherwise, the timing values would
of the discrimination rate by cross-referencing the results of the       obviously be polluted by other processes. We also found that the
different methods.                                                       timing of very small functions is also harder to measure, requiring
   Figure 6 shows that the combination of the hardware-level device      a higher number of iterations to obtain a stable value. Therefore,
fingerprinting techniques (the stable ones) achieved a uniqueness of     we can conclude that our method require a function that includes a
around 80% and nearly a 100% coverage by just including the second       sufficient number of instructions, but not long enough to be often
comparison set (1-5). This simple combinations of CryptoFP with          interrupted by the scheduler.
                                                                          In addition, instead of testing our method against random machines,
                                                                          our evaluation procedure (described in §4 and §5.2) was designed
                                                                          to stress the algorithm in a scenario in which all machines have
                                                                          identical software and hardware components.
                                                                             Table 2 summarizes the characteristics of different device fin-
                                                                          gerprinting techniques proposed to date, and compare them with
                                                                          our approach. Our method was the only one to discriminate all
                                                                          the computers (in the machine version) and the many of them (in
                                                                          the web version). In fact, the other methods could not differentiate
 (a) Identical Comparison Set Sizes combining CryptoFP, the improved      any of the computers in any of the two sets. Stability was 100%
 WebGl FP and CanvasFP.
                                                                          for all methods, except of the Audio FP technique that returned
                                                                          different fingerprint values on the same computer. In addition, our
                                                                          method was the only one resilient to both changes and evasion
                                                                          techniques. In fact, since the method does not necessarily rely on a
                                                                          specific function, the only reliable way to affect its measurement is
                                                                          to insert noise in the time measurement — something that can have
                                                                          serious side effects on many web pages. Similarly, our fingerprint
                                                                          can survive even a complete re-installation of the operating system.
                                                                             The only negative aspect of our solution, if used as a way to
                                                                          track users on the Web, is the back-end efficiency. On the one hand,
 (b) Identical Comparison Set Sizes combining CryptoFP and the im-        computing a single fingerprint is extremely fast. On the other hand,
 proved WebGl FP.
                                                                          existing fingerprints cannot be just indexed in a database for a fast
                                                                          retrieval. Instead, our solution require to compare a new finger-
                                                                          print with all those collected for other machines. However, each
                                                                          comparison is fast (200 milliseconds in our current Python proto-
                                                                          type), completely independent, and easily parallelizable. Moreover,
                                                                          an incremental comparison can be implemented to optimize the
                                                                          process, stopping the algorithm and removing candidates when a
                                                                          difference is found.
                                                                             Application to Web Device Fingerprinting. The web-based imple-
  (c) Identical Comparison Set Sizes combining CryptoFP and CanvasFP.     mentation of our algorithm was not as precise at discriminating
                                                                          identical hardware and software machines as the native implemen-
Figure 6: Identical Comparison Set Sizes for the different                tation. The reason behind this fact is the granularity of the HTML5
combinations of CryptoFP with the rest stable hardware-                   timing API, which does not allow for a more precise measurement.
level device fingerprinting techniques (300 different users               However, there are several improvements that can be implemented
involved). The colors represents the number of identical                  in the web version to enhance the timing precision.
comparisons whereas the X axis represents the percentage                     First of all, instead of using the standard HTML5 timing API,
of computers in the ranges.                                               there are improved timing techniques that can achieve more precise
                                                                          timing values, such as the clock interpolation technique presented
                                                                          by Schwarz et al. [37]. The timing precision we can obtain with
   The confirmed generic nature of our approach makes it adaptable        some of this timers is similar to the timer used in the machine
to different environments and situations. For instance, if a certain      version. Therefore, it is logical to think that the fingerprint should
installation of a particular operating system uses a restricted version   also be as precise. Even in this particular case, the evasion would
of the standard C library, our method can easily be changed to use        be difficult to implement since the functions used can be easily
another installed function. Similarly, if the target uses a completely    modified.
different version of the operating system, even dedicated to IoT             In addition, WebAssembly [17], a project that aims at introducing
systems or critical infrastructures, if we can learn which functions      a new binary format for web applications, can also be used. In this
are available, we can easily adapt our method in order to work            case, we may not only improve the precision of the web version of
under this new environment.                                               CryptoFP but also implement a web version using any function.
   If we can execute native code, we can also create our own func-        This API will allow to compile C/C++ code, amid others, as well
tion and perform the timing using this function — making our code         as execute it at native speed using common hardware capabilities.
completely independent from the system libraries, as long as we           The technology is currently in an early stage but it can be used in
have access to a timing operation that does not use the CPU clock         the future to fully implement the native fingerprinting method.
signal.
                                                                            Countermeasures. Regarding possible evasions, we did not test
  Fingerprint Evaluation. In §2, we introduced a set of features that     those in which users were performing specific actions to tamper
we hope can serve as guidelines for future fingerprinting evaluation.     with the results – such as underclocking/overclocking the CPU, but
Table 2: A comparison of current state-of-the-art methods according to the proposed features. ✓ indicates that the method
has, to a certain extent, that characteristic. ✗ implies that either the method has been tested and does not meet the feature or
that, because of its design, it is unlikely to meet that requirement.

                                                                                    Methods
              Feature                             Attribute-based FP       Canvas FP WebGL FP          Audio FP      Our method
              Discrimination Power                          ✓                 ✓              ✓             ✓               ✓
              Stability                                     ✓                 ✓              ✓             ✗               ✓
              Homogeneous Discrimination                    ✗                 ✗              ✗             ✗               ✓
              Efficiency                                    ✓                 ✓              ✗             ✓               ✓
              Resilience to Evasion                         ✗                 ✗              ✗             ✗               ✓
              Resilience to Changes                         ✗                 ✗              ✗             ✗               ✓


we focus instead on techniques implemented by browsers to avoid             they can be easily disabled by users, thus completely preventing the
fingerprinting. In fact, some of the existing fingerprints are ineffec-     fingerprint computation. Our approach follows instead a schema
tive against existing browsers countermeasures. As our technique            that allows to obtain a fingerprint without relying on any specific
does not necessarily rely on a specific function, such protection is        options in the system and without needing to analyze any traffic
more difficult to implement.                                                data, and still allowing a precise identification of computers, even
   Nevertheless, there are few countermeasures that can be adopted          if they share the same hardware and software.
in order to avoid our new fingerprinting method. Since the basis                The works closest to our is the recent proposal to use Flash mem-
of our method is the precision of the timing process itself, coun-          ory to produce both random numbers and generate unique device
termeasures need to focus on this aspect. While this is possible in         fingerprints [43] and the proposal to use a clock crystal fingerprint-
the context of a browser, major browsers have already reduced the           ing technique that by using another time reference [35]. However,
precision of their timers to avoid several of these attacks performed       these approaches differ from ours, because ours only relies on tim-
by JavaScript. Reducing it even further would definitely be an un-          ing functions to fingerprint hardware, being less dependent on the
popular solution, as more and more applications are pushing for             specific hardware configurations. In addition, we have been able to
better timing capabilities in JavaScript and HTML5.                         create a generic and simple version of clock fingerprinting that can
   Another countermeasure could rely on the use of secure timers,           be used both in simple native code and in the web environment.
several of which have been proposed in the literature [22, 28, 39].
Their goal is precisely to control timers to make attacks more diffi-           Browser Timing Attacks. Timing attacks were first introduced by
cult. These methods are, nevertheless, costly to implement [16].            Felten and Schneider [11] to acquire users’ information. Bortz et
                                                                            al. [4] categorized timing attacks into two different categories. The
7   RELATED WORK                                                            first attacks consisted in measuring the time differences through
    Physical Device Fingerprinting. Physical device fingerprinting          direct timing. The second ones use information from different sites
relies on variations in physical features of devices for their identifi-    to obtain client-side data.
cation. Originally intended for authentication, other uses appeared             The usage of CSS properties can also be a source for timing
over the years, such as license binding or statistically determining        attacks [24]. Van Goethem et al. [40] proposed the usage of the size
the source of an attack [12]. Another work focused on wireless de-          of cross-origin resources to detect previous access. Sanchez-Rola et
vice fingerprinting [2, 13] tries to identify a network source rather       al. [36] discovered installed extensions in all major browsers based
than a machine. Other techniques have been proposed to physically           on access control settings by means of a timing attack. Mowery et
identify hardware. Examples include the variation in the process in         al. [29] presented a method using JavaScript engine benchmarks.
semiconductor foundries [3, 5, 32], Physical Unclonable Functions
(PUFs) [14, 27, 33], and exploiting motion sensors embedded on                 Web Fingerprinting. Web fingerprinting is a method to retrieve
smart devices [7, 8].                                                       user or browser information, typically for tracking. Cookies [38]
    Another line of work [34] focused on fingerprinting computers           were their first form. Later, it started to be more complex e.g., ev-
based on the system clock skew extracted by analyzing the differ-           ercookies [21], cookie syncing, or ETags [1]. Finally, device finger-
ent types of timestamps present in the generated traffic. Kohno et          printing computes a unique identifier for each machine without
al. [23] exploited the TCP and ICPM timestamps to identify com-             client-side storage.
puters. Later, Jana and Kasera [20] used the timestamp present                 As aforementioned, there are two types of device fingerprint-
on WLAN beacon packets to identify unauthorized wireless ac-                ing: attribute-based and hardware-level. The first one uses several
cess points. More recently, Huang et al. [18] proposed to use the           browser attributes [9] (e.g.,installed fonts or plugins, UserAgent, or
Bluetooth included in some devices to identify the skews. These             screen size and resolution). Unfortunately, these attributes change
techniques are really interesting, but the information they rely            rapidly, rendering the fingerprint obsolete in less than 10 days
upon are optional and not always enabled by default in various              according to [41]. The second one, however, uses browser imple-
operating systems and can be easily spoofed by the user. Moreover,          mentations of different APIs to compute the differences between
devices that are based in hardware features (e.g., HTML5 Canvas                                Trackable.. In Proceedings of the Network and Distributed System Symposium
API or the WebGL API [30]).                                                                    (NDSS).
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8    CONCLUSIONS                                                                          [10] Steven Englehardt and Arvind Narayanan. 2016. Online tracking: A 1-million-site
                                                                                               measurement and analysis. In Proceedings of the 2016 ACM SIGSAC Conference on
Device fingerprinting is an active research topic within web security,                         Computer and Communications Security. ACM, 1388–1401.
specially web device fingerprinting, in the last years. These methods                     [11] Edward W Felten and Michael A Schneider. 2000. Timing attacks on web privacy.
                                                                                               In Proceedings of the 7th ACM conference on Computer and Communications
can be used for a wide variety of tasks such as user access control,                           Security (CCS). ACM.
web tracking or analytics, or targeted attacks.                                           [12] Russ Fink. 2007. A statistical approach to remote physical device fingerprinting.
    In this paper, we introduced a time-based device fingerprinting                            In Proceedings of the Military Communications Conference (MILCOM).
                                                                                          [13] Jason Franklin, Damon McCoy, Parisa Tabriz, Vicentiu Neagoe, Jamie V Randwyk,
technique. This fingerprinting technique is generic and can work                               and Douglas Sicker. 2006. Passive Data Link Layer 802.11 Wireless Device Driver
with different functions, making the method adaptable to differ-                               Fingerprinting.. In Proceedings of the USENIX Security Symposium (SEC).
ent environments. In addition, we introduced a set of properties                          [14] Blaise Gassend, Dwaine Clarke, Marten Van Dijk, and Srinivas Devadas. 2002.
                                                                                               Silicon physical random functions. In Proceedings of the ACM Conference on
to properly assess the functionality of fingerprinting techniques,                             Computer and CBommunications Security (CCS).
filling the gap in current fingerprinting evaluation and proposing a                      [15] GNU/Linux. 2018. Stress, tool to impose load on and stress test systems. https:
                                                                                               //linux.die.net/man/1/stress.
new homogeneous scenario evaluation procedure.                                            [16] Ben Gras, Kaveh Razavi, Erik Bosman, Herbert Bos, and Cristiano Giuffrida. 2017.
    We built a specific native version of our method, CrytoFP, us-                             ASLR on the Line: Practical Cache Attacks on the MMU. In Proceedings of the
ing the function for generating random numbers and evaluating it                               Network and Distributed System Symposium (NDSS).
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in a homogeneous scenario with two large sets of machines with                                 org/.
the exact same hardware and software installed, showing that is                           [18] Jun Huang, Wahhab Albazrqaoe, and Guoliang Xing. 2014. Blueid: A practical
capable of distinguishing every machine. Based upon this imple-                                system for bluetooth device identification. In INFOCOM, 2014 Proceedings IEEE.
                                                                                               IEEE, 2849–2857.
mentation, we built an application to web device fingerprinting                           [19] Clint Huffman. 2014. Windows Performance Analysis Field Guide. Elsevier.
using the HTML5 Cryptography API that internally uses the same                            [20] Suman Jana and Sneha K Kasera. 2010. On fast and accurate detection of unau-
                                                                                               thorized wireless access points using clock skews. IEEE Transactions on Mobile
native functions that the machine-version, evaluating and com-                                 Computing 9, 3 (2010), 449–462.
paring it with state-of-the-art hardware-level web fingerprinting                         [21] Samy Kamkar. 2018. Evercookie – virtually irrevocable persistent cookies. http:
techniques. In a homogeneous scenario evaluation CryptoFP was                                  //samy.pl/evercookie/.
                                                                                          [22] David Kohlbrenner and Hovav Shacham. 2016. Trusted Browsers for Uncertain
not as accurate as its native counterpart due to the timing limita-                            Times. In Proceedings of the USENIX Security Symposium (Sec).
tions of the JavaScript engine, but still capable of discriminating                       [23] Tadayoshi Kohno, Andre Broido, and Kimberly C Claffy. 2005. Remote physical
several of the identical hardware and software machines, outper-                               device fingerprinting. IEEE Transactions on Dependable and Secure Computing 2,
                                                                                               2 (2005), 93–108.
forming the state-of-the-art methods that were not able to uniquely                       [24] Robert Kotcher, Yutong Pei, Pranjal Jumde, and Collin Jackson. 2013. Cross-origin
identity none of the machines. The heterogeneous in-the-wild eval-                             pixel stealing: timing attacks using CSS filters. In Proceedings of the 2013 ACM
                                                                                               SIGSAC conference on Computer & communications security. ACM, 1055–1062.
uation shows that the percentage of unique computers identified                           [25] Fabian Lanze, Andriy Panchenko, Benjamin Braatz, and Thomas Engel. 2014.
by CryptoFP was much higher than any other existing method.                                    Letting the puss in boots sweat: Detecting fake access points using dependency
                                                                                               of clock skews on temperature. In Proceedings of the 9th ACM symposium on
                                                                                               Information, computer and communications security. ACM, 3–14.
ACKNOWLEDGMENTS                                                                           [26] Pierre Laperdrix, Walter Rudametkin, and Benoit Baudry. 2016. Beauty and the
We would like to thank the reviewers for their insightful comments                             Beast: Diverting modern web browsers to build unique browser fingerprints. In
                                                                                               Proceedings of the IEEE Symposium on Security and Privacy (Oakland).
and our shepherd Yinzhi Cao for his assistance to improve this                            [27] Jae W Lee, Daihyun Lim, Blaise Gassend, G Edward Suh, Marten Van Dijk, and
paper. This work is partially supported by the Basque Government                               Srinivas Devadas. [n. d.]. A technique to build a secret key in integrated circuits
under a pre-doctoral grant given to Iskander Sanchez-Rola.                                     for identification and authentication applications. In Proceedings of the Symposium
                                                                                               on VLSI Circuits. IEEE.
                                                                                          [28] Robert Martin, John Demme, and Simha Sethumadhavan. 2012. TimeWarp:
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