State of PQC

AI · cryptanalysis

A-Day

Q-Day is the day a quantum computer breaks the public-key cryptography in use. A-Day is the day an AI system does it first, by finding the mathematics that people have not. This page records who has predicted it, and what AI systems have actually produced against the problems that deployed cryptography rests on. Each row carries the document it comes from. Last verified 28 Oct 2026.

The prediction

Who has said that AI will, or will not, break the cryptography in use, in their own words. Each row links the document the words come from.

DateWhoPositionStatementSource
28 Jul 2026Anthropic Frontier Red Team, on its HAWK and AES resultsExpects itDormant weaknesses in deployed ciphers will soon be within reach of language modelsDiscovering cryptographic weaknesses with Claude Mythos Preview Many ciphers protecting modern systems have received less scrutiny than they deserve—they might still have important weaknesses lying dormant that LLMs will soon be able to discover.
28 Jul 2026Bruce Schneier Harvard Kennedy SchoolOpen questionEarly results, something to watchMeasuring LLMs' ability to perform cryptanalysis Still early results, but this is definitely something to watch.
23 Sep 2026Jacob Alperin-Sheriff on the SNOVA attack, pqc-forumDoubts itThe SNOVA flaw would have been found without AIRound 3 OFFICIAL COMMENT: SNOVA, pqc-forum I am certain you'd have found it in a few weeks even in the dinosaur pre-AI age
7 Oct 2026Justin Drake Ethereum FoundationExpects itECDSA may break before Q-Day, in months rather than years Proposes hash-based cryptography and no structured assumptions, from curves, lattices or isogenies.Post on X IMO it is now reasonable to brace for the possibility that ECDSA breaks before qday, in the worst case in months not years.
7 Oct 2026Haseeb Qureshi DragonflyExpects itThe risk is conventional mathematics overturning hardness assumptions, not quantumPost on X The risk is not quantum, but just conventional mathematics overturning unproven cryptographic hardness assumptions.
7 Oct 2026Vitalik Buterin EthereumOpen questionLattices are the core new area of risk; no need to move funds today Suggests multiplying key sizes by ten for anything meant to stay secure long term.Post on X The core new area of risk from this viewpoint is, unfortunately, ML-DSA / FHE / lattices.
9 Oct 2026Matthew Green Johns Hopkins UniversityOpen questionA 15% chance of losing confidence in public-key encryption The next post in the thread: the numbers are based on vibes, but nobody has better ones.Post on Bluesky I think there is a 1% chance we live in Minicrypt, and a 15% chance we functionally lose confidence in our existing public-key encryption algorithms.

Where it stands

The problems deployed cryptography rests on, with how many watched results touch each and the strongest effect any of them has had on a deployed scheme. A result that proves a theorem in the surrounding mathematics counts as a result; it does not count as an effect.

ProblemResultsLatestEffect on deployed cryptography
Lattice problems (ML-KEM, ML-DSA)629 Sep 2026None
Decoding problems (HQC, McEliece)229 Sep 2026None
Multivariate systems (UOV, SNOVA)329 Sep 2026None
Hash functions (SHA-2, SHA-3, SLH-DSA)329 Sep 2026None
Block ciphers (AES)328 Jul 2026None
Implementations and side channels27 Apr 2026None
No cryptographic problem625 Oct 2026None

Results watched

AI-produced or AI-assisted results that touch a cryptanalytic problem or the mathematics under a cryptosystem, newest first. Status is the result's standing with its field. Effect is what it changes for a scheme in use today.

DateLabSystemResultTouchesStatusEffectSource
25 Oct 2026OpenAI United StatesUnnamed internal modelSubexponential algorithm for counting 3-SAT solutions, refuting the Exponential Time Hypothesis Lean proves a slightly weaker bound. A working group led by Impagliazzo, Paturi and Williams is examining the proof. Subexponential is not polynomial, and no scheme rests on 3-SAT.No cryptographic problemClaimedNoneopenai/math history The case of 3-SAT refutes the Exponential Time Hypothesis. An independent working group of computer scientists led by Russell Impagliazzo, Ramamohan Paturi, and Ryan Williams will examine and explain the proof.
6 Oct 2026OpenAI United StatesUnnamed internal modelCatalogue of manuscripts answering stated open problems, 721 in 373 families by 26 October No family attacks a deployed scheme. Three manuscripts were withdrawn over a sign error on 7 October. Mathematicians dispute several results.No cryptographic problemDisputedNoneopenai/math README best understood as a form of raw research data, rather than polished academic papers
29 Sep 2026Markku-Juhani SaarinenAgent workflow, model not named110 of the 191 findings against China's NGCC first-round candidates in the competition's first week The candidates are fresh submissions, many with implementation faults. The paper calls the HAWK result the field's Lee Sedol moment.Lattice problems
Decoding problems
Multivariate systems
Hash functions
ClaimedNoneChinese NGCC Algorithms: The First Week of AI Cryptanalysis, IACR ePrint 2026/2266 Our independent evaluation effort discovered, verified, and disclosed 110 of those issues (47 Critical) using the agentic workflow described in this work; outside researchers, some AI-assisted, found the rest.
22 Sep 2026IBM Research Zurich Switzerlandgpt-5.6-sol (OpenAI), then Beullens and HessKey recovery for six alternative SNOVA parameter sets from biased vinegar sampling The SNOVA team says no recommended Round 3 set is affected and corrected the sampling in version 3.1.Multivariate systemsConfirmedNoneRound 3 OFFICIAL COMMENT: SNOVA, pqc-forum The first version of this attack was found independently by an AI system (gpt-5.6-sol).
22 Aug 2026Markku-Juhani SaarinenA large language model, not namedHOVER key recovery solves five TII McEliece challenges, including TII-252 BSI's note of 29 September 2026 advising against new Classic McEliece deployments cites HOVER among ten works and does not mention AI.Decoding problemsPeer reviewedNoneHOVER: Higher-Order Vanishing Endomorphism Recovery, IACR ePrint 2026/1778 our analysis does not indicate that HOVER would threaten Classic McEliece parameters in its present form. Lastly, we note that HOVER's main cryptanalytic shortcut was discovered with a large language model
22 Aug 2026Olejnik and NaskręckiAgent workflow, model not namedEight published academic constructions fail at their stated parameters A Ring-LWR commitment, a lattice e-voting protocol and a signature hash among them. None is a standard.Lattice problems
Multivariate systems
Hash functions
ClaimedNoneAI Grinding for Fun and Cryptanalysis, arXiv 2608.21986 Eight published constructions fail at stated parameters or claims. A Ring-LWR commitment opens to every message with probability one.
29 Jul 2026Hengyi LuoGPT-5.6 (OpenAI) with CodexA second, weaker HAWK attack through SVP in dimension 3n/4Lattice problemsClaimedNoneHAWK-n key recovery thread, pqc-forum a related piece of work produced by GPT-5.6 with only minimal technical guidance from human researchers, which attacks HAWK by solving SVP with dimension (3n/4)
28 Jul 2026Anthropic United StatesClaude Mythos PreviewHAWK key recovery with half the effective key size; HAWK withdrawn from NIST's process The HAWK team confirmed the attack and withdrew the scheme on 29 July 2026. The post says the attack is specific to HAWK and no production software has to change.Lattice problemsConfirmedNoneDiscovering cryptographic weaknesses with Claude Mythos Preview Despite HAWK having survived two rounds of expert human review over a period of two years, Mythos was able to improve the best-known attack on it in just 60 hours of work—effectively cutting its key strength in half.
28 Jul 2026Anthropic United StatesClaude Mythos PreviewMeet-in-the-middle attack on 7-round AES-128 sped up 200 to 800 times AES-128 has ten rounds. Matthew Green: a small increment in our knowledge, not a practical new attack.Block ciphersClaimedNoneDiscovering cryptographic weaknesses with Claude Mythos Preview To be clear, neither of these results has a practical impact on today's computer systems; no production software will have to change as a result.
20 Jul 2026ETH Zurich, Tel Aviv University, TU Berlin, AnthropicClaude Opus 4.8, Sonnet 5 and Mythos 5, GPT 5.5, GLM 5.2CryptanalysisBench: models break 65 to 86% of known-broken schemes across 191 tasks New findings include a key recovery on the SpoC AEAD and an error in KINDI's CCA proof. GLM 5.2 from Zhipu is the one Chinese model tested.Block ciphers
Hash functions
Lattice problems
ClaimedNoneCryptanalysisBench: Can LLMs do Cryptanalysis?, arXiv 2607.18538 In this paper we ask whether LLMs can do cryptanalysis, and find that the answer is increasingly yes.
Jul 2026Anthropic United StatesClaude Fable 5Counterexample to the Jacobian conjecture Mathematics with no cryptographic bearing, listed as a capability marker.No cryptographic problemClaimedNoneDiscovering cryptographic weaknesses with Claude Mythos Preview earlier this month we announced that Claude Fable 5 resolved the Jacobian Conjecture
20 May 2026OpenAI United StatesUnnamed internal modelErdős unit distance conjecture disproved Mathematics with no cryptographic bearing, listed as a capability marker. The page returns 403 to automated clients and was read in a browser.No cryptographic problemConfirmedNoneModel disproves discrete geometry conjecture An internal OpenAI model has disproved this longstanding conjecture, providing an infinite family of examples that yield a polynomial improvement. The proof has been checked by a group of external mathematicians.
7 Apr 2026Anthropic United StatesClaude Mythos PreviewThousands of high-severity software vulnerabilities, including a 27-year-old OpenBSD bug Vulnerability finding in code, not cryptanalysis. Two library bugs are credited to Claude, CVE-2026-5194 in wolfSSL ECDSA verification and CVE-2026-45445 in OpenSSL AES-OCB.Implementations and side channelsClaimedNoneProject Glasswing Mythos Preview found a 27-year-old vulnerability in OpenBSD
27 Nov 2025DeepSeek ChinaDeepSeekMath-V2Gold-level scores on IMO 2025 and CMO 2024, 118 of 120 on Putnam 2024 Mathematics with no cryptographic bearing, listed as a capability marker. No Chinese lab or university has claimed an AI cryptanalysis result.No cryptographic problemClaimedNoneDeepSeekMath-V2: Towards Self-Verifiable Mathematical Reasoning, arXiv 2511.22570 achieving gold-level scores on IMO 2025 and CMO 2024 and a near-perfect 118/120 on Putnam 2024 with scaled test-time compute
14 May 2025Google DeepMind United KingdomAlphaEvolve, on Gemini4x4 complex matrix multiplication in 48 scalar multiplications; better solutions to a fifth of 50 open problems Mathematics with no cryptographic bearing, listed as a capability marker.No cryptographic problemClaimedNoneAlphaEvolve: A Gemini-powered coding agent for designing advanced algorithms AlphaEvolve's procedure found an algorithm to multiply 4x4 complex-valued matrices using 48 scalar multiplications
1 Aug 2024Meta AI United StatesSALSA transformers with lattice reductionSparse secrets recovered at Kyber-like parameters Secrets of Hamming weight 9 to 11 only. ML-KEM's secrets are dense, so the standard is not affected.Lattice problemsPeer reviewedNoneBenchmarking Attacks on Learning with Errors, arXiv 2408.00882, IEEE S&P 2025 we recover hamming weight 9-11 binomial secrets for KYBER (κ=2) parameters in 28-36 hours with SALSA and Cool&Cruel
Dec 2022KTH Royal Institute of Technology SwedenDeep learning on power tracesMessage recovery from fifth-order masked Kyber on a Cortex-M4 An attack on one implementation's power leakage, not on the algorithm. Press reports at the time said AI had cracked Kyber.Implementations and side channelsClaimedNoneBreaking a Fifth-Order Masked Implementation of CRYSTALS-Kyber by Copy-Paste, IACR ePrint 2022/1713 recover a message bit with the probability above 99%
Jan 2019Aron GohrDeep residual networksNeural distinguishers cut 11-round Speck32/64 to about 38 bits of security Benamira, Gerault, Peyrin and Tan matched the distinguisher without a neural network at EUROCRYPT 2021.Block ciphersPeer reviewedNoneImproving Attacks on Round-Reduced Speck32/64 using Deep Learning, IACR ePrint 2019/037, CRYPTO 2019 we show that contrary to conventional wisdom, machine learning can produce very powerful cryptographic distinguishers

Method and limits

Statements
Quoted from the document named in the row, at the length needed to carry the claim. A position is this site's reading of the quote.
Results
A result is listed when a lab, a paper or a repository claims that an AI system produced or materially assisted it, and the result concerns a cryptanalytic problem, the mathematics under a cryptosystem, or an attack on an implementation. Results produced by quantum hardware without an AI component are not listed. The OpenAI math catalogue has its own page with every family classified.
Status
Claimed: published by the lab or as a preprint. Confirmed: reproduced by the scheme's designers or by an independent party. Peer reviewed: accepted by a journal or conference. Disputed: a named party has published a challenge. Withdrawn: retracted by its authors.
Effect
What the result changes for a scheme in use today, at the parameters standards name. None is the usual answer and is recorded as such.