10 Pointer authentication is a technology which offers strong probabilistic
11 protection against exploiting a broad class of memory bugs to take control of
12 program execution. When adopted consistently in a language ABI, it provides
13 a form of relatively fine-grained control flow integrity (CFI) check that
14 resists both return-oriented programming (ROP) and jump-oriented programming
17 While pointer authentication can be implemented purely in software, direct
18 hardware support (e.g. as provided by Armv8.3 PAuth) can dramatically improve
19 performance and code size. Similarly, while pointer authentication
20 can be implemented on any architecture, taking advantage of the (typically)
21 excess addressing range of a target with 64-bit pointers minimizes the impact
22 on memory performance and can allow interoperation with existing code (by
23 disabling pointer authentication dynamically). This document will generally
24 attempt to present the pointer authentication feature independent of any
25 hardware implementation or ABI. Considerations that are
26 implementation-specific are clearly identified throughout.
28 Note that there are several different terms in use:
30 - **Pointer authentication** is a target-independent language technology.
32 - **PAuth** (sometimes referred to as **PAC**, for Pointer Authentication
33 Codes) is an AArch64 architecture extension that provides hardware support
34 for pointer authentication. Additional extensions either modify some of the
35 PAuth instruction behavior (notably FPAC), or provide new instruction
38 - **Armv8.3** is an AArch64 architecture revision that makes PAuth mandatory.
40 - **arm64e** is a specific ABI (not yet fully stable) for implementing pointer
41 authentication using PAuth on certain Apple operating systems.
43 This document serves four purposes:
45 - It describes the basic ideas of pointer authentication.
47 - It documents several language extensions that are useful on targets using
48 pointer authentication.
50 - It will eventually present a theory of operation for the security mitigation,
51 describing the basic requirements for correctness, various weaknesses in the
52 mechanism, and ways in which programmers can strengthen its protections
53 (including recommendations for language implementors).
55 - It will eventually document the language ABIs currently used for C, C++,
56 Objective-C, and Swift on arm64e, although these are not yet stable on any
62 The simple address of an object or function is a **raw pointer**. A raw
63 pointer can be **signed** to produce a **signed pointer**. A signed pointer
64 can be then **authenticated** in order to verify that it was **validly signed**
65 and extract the original raw pointer. These terms reflect the most likely
66 implementation technique: computing and storing a cryptographic signature along
69 An **abstract signing key** is a name which refers to a secret key which is
70 used to sign and authenticate pointers. The concrete key value for a
71 particular name is consistent throughout a process.
73 A **discriminator** is an arbitrary value used to **diversify** signed pointers
74 so that one validly-signed pointer cannot simply be copied over another.
75 A discriminator is simply opaque data of some implementation-defined size that
76 is included in the signature as a salt (see `Discriminators`_ for details.)
78 Nearly all aspects of pointer authentication use just these two primary
81 - ``sign(raw_pointer, key, discriminator)`` produces a signed pointer given
82 a raw pointer, an abstract signing key, and a discriminator.
84 - ``auth(signed_pointer, key, discriminator)`` produces a raw pointer given
85 a signed pointer, an abstract signing key, and a discriminator.
87 ``auth(sign(raw_pointer, key, discriminator), key, discriminator)`` must
88 succeed and produce ``raw_pointer``. ``auth`` applied to a value that was
89 ultimately produced in any other way is expected to fail, which halts the
92 - immediately, on implementations that enforce ``auth`` success (e.g., when
93 using compiler-generated ``auth`` failure checks, or Armv8.3 with the FPAC
96 - when the resulting pointer value is used, on implementations that don't.
98 However, regardless of the implementation's handling of ``auth`` failures, it
99 is permitted for ``auth`` to fail to detect that a signed pointer was not
100 produced in this way, in which case it may return anything; this is what makes
101 pointer authentication a probabilistic mitigation rather than a perfect one.
103 There are two secondary operations which are required only to implement certain
104 intrinsics in ``<ptrauth.h>``:
106 - ``strip(signed_pointer, key)`` produces a raw pointer given a signed pointer
107 and a key without verifying its validity, unlike ``auth``. This is useful
108 for certain kinds of tooling, such as crash backtraces; it should generally
109 not be used in the basic language ABI except in very careful ways.
111 - ``sign_generic(value)`` produces a cryptographic signature for arbitrary
112 data, not necessarily a pointer. This is useful for efficiently verifying
113 that non-pointer data has not been tampered with.
115 Whenever any of these operations is called for, the key value must be known
116 statically. This is because the layout of a signed pointer may vary according
117 to the signing key. (For example, in Armv8.3, the layout of a signed pointer
118 depends on whether Top Byte Ignore (TBI) is enabled, which can be set
119 independently for I and D keys.)
121 .. admonition:: Note for API designers and language implementors
123 These are the *primitive* operations of pointer authentication, provided for
124 clarity of description. They are not suitable either as high-level
125 interfaces or as primitives in a compiler IR because they expose raw
126 pointers. Raw pointers require special attention in the language
127 implementation to avoid the accidental creation of exploitable code
130 The following details are all implementation-defined:
132 - the nature of a signed pointer
133 - the size of a discriminator
134 - the number and nature of the signing keys
135 - the implementation of the ``sign``, ``auth``, ``strip``, and ``sign_generic``
138 While the use of the terms "sign" and "signed pointer" suggest the use of
139 a cryptographic signature, other implementations may be possible. See
140 `Alternative implementations`_ for an exploration of implementation options.
142 .. admonition:: Implementation example: Armv8.3
144 Readers may find it helpful to know how these terms map to Armv8.3 PAuth:
146 - A signed pointer is a pointer with a signature stored in the
147 otherwise-unused high bits. The kernel configures the address width based
148 on the system's addressing needs, and enables TBI for I or D keys as
149 needed. The bits above the address bits and below the TBI bits (if
150 enabled) are unused. The signature width then depends on this addressing
153 - A discriminator is a 64-bit integer. Constant discriminators are 16-bit
154 integers. Blending a constant discriminator into an address consists of
155 replacing the top 16 bits of the pointer containing the address with the
156 constant. Pointers used for blending purposes should only have address
157 bits, since higher bits will be at least partially overwritten with the
158 constant discriminator.
160 - There are five 128-bit signing-key registers, each of which can only be
161 directly read or set by privileged code. Of these, four are used for
162 signing pointers, and the fifth is used only for ``sign_generic``. The key
163 data is simply a pepper added to the hash, not an encryption key, and so
164 can be initialized using random data.
166 - ``sign`` computes a cryptographic hash of the pointer, discriminator, and
167 signing key, and stores it in the high bits as the signature. ``auth``
168 removes the signature, computes the same hash, and compares the result with
169 the stored signature. ``strip`` removes the signature without
170 authenticating it. While ``aut*`` instructions do not themselves trap on
171 failure in Armv8.3 PAuth, they do with the later optional FPAC extension.
172 An implementation can also choose to emulate this trapping behavior by
173 emitting additional instructions around ``aut*``.
175 - ``sign_generic`` corresponds to the ``pacga`` instruction, which takes two
176 64-bit values and produces a 64-bit cryptographic hash. Implementations of
177 this instruction are not required to produce meaningful data in all bits of
183 A discriminator is arbitrary extra data which alters the signature calculated
184 for a pointer. When two pointers are signed differently --- either with
185 different keys or with different discriminators --- an attacker cannot simply
186 replace one pointer with the other.
188 To use standard cryptographic terminology, a discriminator acts as a
189 `salt <https://en.wikipedia.org/wiki/Salt_(cryptography)>`_ in the signing of a
190 pointer, and the key data acts as a
191 `pepper <https://en.wikipedia.org/wiki/Pepper_(cryptography)>`_. That is,
192 both the discriminator and key data are ultimately just added as inputs to the
193 signing algorithm along with the pointer, but they serve significantly
194 different roles. The key data is a common secret added to every signature,
195 whereas the discriminator is a value that can be derived from
196 the context in which a specific pointer is signed. However, unlike a password
197 salt, it's important that discriminators be *independently* derived from the
198 circumstances of the signing; they should never simply be stored alongside
199 a pointer. Discriminators are then re-derived in authentication operations.
201 The intrinsic interface in ``<ptrauth.h>`` allows an arbitrary discriminator
202 value to be provided, but can only be used when running normal code. The
203 discriminators used by language ABIs must be restricted to make it feasible for
204 the loader to sign pointers stored in global memory without needing excessive
205 amounts of metadata. Under these restrictions, a discriminator may consist of
206 either or both of the following:
208 - The address at which the pointer is stored in memory. A pointer signed with
209 a discriminator which incorporates its storage address is said to have
210 **address diversity**. In general, using address diversity means that
211 a pointer cannot be reliably copied by an attacker to or from a different
212 memory location. However, an attacker may still be able to attack a larger
213 call sequence if they can alter the address through which the pointer is
214 accessed. Furthermore, some situations cannot use address diversity because
215 of language or other restrictions.
217 - A constant integer, called a **constant discriminator**. A pointer signed
218 with a non-zero constant discriminator is said to have **constant
219 diversity**. If the discriminator is specific to a single declaration, it is
220 said to have **declaration diversity**; if the discriminator is specific to
221 a type of value, it is said to have **type diversity**. For example, C++
222 v-tables on arm64e sign their component functions using a hash of their
223 method names and signatures, which provides declaration diversity; similarly,
224 C++ member function pointers sign their invocation functions using a hash of
225 the member pointer type, which provides type diversity.
227 The implementation may need to restrict constant discriminators to be
228 significantly smaller than the full size of a discriminator. For example, on
229 arm64e, constant discriminators are only 16-bit values. This is believed to
230 not significantly weaken the mitigation, since collisions remain uncommon.
232 The algorithm for blending a constant discriminator with a storage address is
233 implementation-defined.
240 Correct use of pointer authentication requires the signing code and the
241 authenticating code to agree about the **signing schema** for the pointer:
243 - the abstract signing key with which the pointer should be signed and
244 - an algorithm for computing the discriminator.
246 As described in the section above on `Discriminators`_, in most situations, the
247 discriminator is produced by taking a constant discriminator and optionally
248 blending it with the storage address of the pointer. In these situations, the
249 signing schema breaks down even more simply:
251 - the abstract signing key,
252 - a constant discriminator, and
253 - whether to use address diversity.
255 It is important that the signing schema be independently derived at all signing
256 and authentication sites. Preferably, the schema should be hard-coded
257 everywhere it is needed, but at the very least, it must not be derived by
258 inspecting information stored along with the pointer.
263 There is currently one main pointer authentication language feature:
265 - The language provides the ``<ptrauth.h>`` intrinsic interface for manually
266 signing and authenticating pointers in code. These can be used in
267 circumstances where very specific behavior is required.
276 Whether the current target uses pointer authentication can be tested for with
277 a number of different tests.
279 - ``__has_feature(ptrauth_intrinsics)`` is true if ``<ptrauth.h>`` provides its
280 normal interface. This may be true even on targets where pointer
281 authentication is not enabled by default.
286 This header defines the following types and operations:
291 This ``enum`` is the type of abstract signing keys. In addition to defining
292 the set of implementation-specific signing keys (for example, Armv8.3 defines
293 ``ptrauth_key_asia``), it also defines some portable aliases for those keys.
294 For example, ``ptrauth_key_function_pointer`` is the key generally used for
295 C function pointers, which will generally be suitable for other
296 function-signing schemas.
298 In all the operation descriptions below, key values must be constant values
299 corresponding to one of the implementation-specific abstract signing keys from
302 ``ptrauth_extra_data_t``
303 ^^^^^^^^^^^^^^^^^^^^^^^^
305 This is a ``typedef`` of a standard integer type of the correct size to hold
306 a discriminator value.
308 In the signing and authentication operation descriptions below, discriminator
309 values must have either pointer type or integer type. If the discriminator is
310 an integer, it will be coerced to ``ptrauth_extra_data_t``.
312 ``ptrauth_blend_discriminator``
313 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
317 ptrauth_blend_discriminator(pointer, integer)
319 Produce a discriminator value which blends information from the given pointer
320 and the given integer.
322 Implementations may ignore some bits from each value, which is to say, the
323 blending algorithm may be chosen for speed and convenience over theoretical
324 strength as a hash-combining algorithm. For example, arm64e simply overwrites
325 the high 16 bits of the pointer with the low 16 bits of the integer, which can
326 be done in a single instruction with an immediate integer.
328 ``pointer`` must have pointer type, and ``integer`` must have integer type. The
329 result has type ``ptrauth_extra_data_t``.
331 ``ptrauth_string_discriminator``
332 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
336 ptrauth_string_discriminator(string)
338 Compute a constant discriminator from the given string.
340 ``string`` must be a string literal of ``char`` character type. The result has
341 type ``ptrauth_extra_data_t``.
343 The result value is never zero and always within range for both the
344 ``__ptrauth`` qualifier and ``ptrauth_blend_discriminator``.
346 This can be used in constant expressions.
353 ptrauth_strip(signedPointer, key)
355 Given that ``signedPointer`` matches the layout for signed pointers signed with
356 the given key, extract the raw pointer from it. This operation does not trap
357 and cannot fail, even if the pointer is not validly signed.
359 ``ptrauth_sign_constant``
360 ^^^^^^^^^^^^^^^^^^^^^^^^^
364 ptrauth_sign_constant(pointer, key, discriminator)
366 Return a signed pointer for a constant address in a manner which guarantees
367 a non-attackable sequence.
369 ``pointer`` must be a constant expression of pointer type which evaluates to
371 ``key`` must be a constant expression of type ``ptrauth_key``.
372 ``discriminator`` must be a constant expression of pointer or integer type;
373 if an integer, it will be coerced to ``ptrauth_extra_data_t``.
374 The result will have the same type as ``pointer``.
376 This can be used in constant expressions.
378 ``ptrauth_sign_unauthenticated``
379 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
383 ptrauth_sign_unauthenticated(pointer, key, discriminator)
385 Produce a signed pointer for the given raw pointer without applying any
386 authentication or extra treatment. This operation is not required to have the
387 same behavior on a null pointer that the language implementation would.
389 This is a treacherous operation that can easily result in signing oracles.
390 Programs should use it seldom and carefully.
392 ``ptrauth_auth_and_resign``
393 ^^^^^^^^^^^^^^^^^^^^^^^^^^^
397 ptrauth_auth_and_resign(pointer, oldKey, oldDiscriminator, newKey, newDiscriminator)
399 Authenticate that ``pointer`` is signed with ``oldKey`` and
400 ``oldDiscriminator`` and then resign the raw-pointer result of that
401 authentication with ``newKey`` and ``newDiscriminator``.
403 ``pointer`` must have pointer type. The result will have the same type as
404 ``pointer``. This operation is not required to have the same behavior on
405 a null pointer that the language implementation would.
407 The code sequence produced for this operation must not be directly attackable.
408 However, if the discriminator values are not constant integers, their
409 computations may still be attackable. In the future, Clang should be enhanced
410 to guaranteed non-attackability if these expressions are safely-derived.
412 ``ptrauth_auth_data``
413 ^^^^^^^^^^^^^^^^^^^^^
417 ptrauth_auth_data(pointer, key, discriminator)
419 Authenticate that ``pointer`` is signed with ``key`` and ``discriminator`` and
420 remove the signature.
422 ``pointer`` must have object pointer type. The result will have the same type
423 as ``pointer``. This operation is not required to have the same behavior on
424 a null pointer that the language implementation would.
426 In the future when Clang makes safe derivation guarantees, the result of
427 this operation should be considered safely-derived.
429 ``ptrauth_sign_generic_data``
430 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
434 ptrauth_sign_generic_data(value1, value2)
436 Computes a signature for the given pair of values, incorporating a secret
439 This operation can be used to verify that arbitrary data has not been tampered
440 with by computing a signature for the data, storing that signature, and then
441 repeating this process and verifying that it yields the same result. This can
442 be reasonably done in any number of ways; for example, a library could compute
443 an ordinary checksum of the data and just sign the result in order to get the
444 tamper-resistance advantages of the secret signing key (since otherwise an
445 attacker could reliably overwrite both the data and the checksum).
447 ``value1`` and ``value2`` must be either pointers or integers. If the integers
448 are larger than ``uintptr_t`` then data not representable in ``uintptr_t`` may
451 The result will have type ``ptrauth_generic_signature_t``, which is an integer
452 type. Implementations are not required to make all bits of the result equally
453 significant; in particular, some implementations are known to not leave
454 meaningful data in the low bits.
458 Alternative Implementations
459 ---------------------------
464 It is not critical for the security of pointer authentication that the
465 signature be stored "together" with the pointer, as it is in Armv8.3. An
466 implementation could just as well store the signature in a separate word, so
467 that the ``sizeof`` a signed pointer would be larger than the ``sizeof`` a raw
470 Storing the signature in the high bits, as Armv8.3 does, has several trade-offs:
472 - Disadvantage: there are substantially fewer bits available for the signature,
473 weakening the mitigation by making it much easier for an attacker to simply
474 guess the correct signature.
476 - Disadvantage: future growth of the address space will necessarily further
477 weaken the mitigation.
479 - Advantage: memory layouts don't change, so it's possible for
480 pointer-authentication-enabled code (for example, in a system library) to
481 efficiently interoperate with existing code, as long as pointer
482 authentication can be disabled dynamically.
484 - Advantage: the size of a signed pointer doesn't grow, which might
485 significantly increase memory requirements, code size, and register pressure.
487 - Advantage: the size of a signed pointer is the same as a raw pointer, so
488 generic APIs which work in types like `void *` (such as `dlsym`) can still
489 return signed pointers. This means that clients of these APIs will not
490 require insecure code in order to correctly receive a function pointer.
492 Hashing vs. Encrypting Pointers
493 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
495 Armv8.3 implements ``sign`` by computing a cryptographic hash and storing that
496 in the spare bits of the pointer. This means that there are relatively few
497 possible values for the valid signed pointer, since the bits corresponding to
498 the raw pointer are known. Together with an ``auth`` oracle, this can make it
499 computationally feasible to discover the correct signature with brute force.
500 (The implementation should of course endeavor not to introduce ``auth``
501 oracles, but this can be difficult, and attackers can be devious.)
503 If the implementation can instead *encrypt* the pointer during ``sign`` and
504 *decrypt* it during ``auth``, this brute-force attack becomes far less
505 feasible, even with an ``auth`` oracle. However, there are several problems
508 - It's unclear whether this kind of encryption is even possible without
509 increasing the storage size of a signed pointer. If the storage size can be
510 increased, brute-force atacks can be equally well mitigated by simply storing
513 - It would likely be impossible to implement a ``strip`` operation, which might
514 make debuggers and other out-of-process tools far more difficult to write, as
515 well as generally making primitive debugging more challenging.
517 - Implementations can benefit from being able to extract the raw pointer
518 immediately from a signed pointer. An Armv8.3 processor executing an
519 ``auth``-and-load instruction can perform the load and ``auth`` in parallel;
520 a processor which instead encrypted the pointer would be forced to perform
521 these operations serially.