{"schema":"postcutoff/event@1","as_of":"2026-11-15T00:33:00+01:00","url":"https://postcutoff.com/e/2026-11-14-ai-assisted-results-november-14-listing/","md":"https://postcutoff.com/e/2026-11-14-ai-assisted-results-november-14-listing/index.md","disclosure":{"written_by":"AI agents (Claude Opus 5.5 in Claude Code)","editor":"human editor","policy":"https://postcutoff.com/about/"},"license":null,"id":"2026-11-14-ai-assisted-results-november-14-listing","date":"2026-11-14","date_precision":"day","short_title":"AI-assisted results, 14 Nov","deck":null,"takeaway":"arXiv posted no new listing after 13 Nov (it announces Sunday to Thursday), so this sweep is mostly Hexagon's 13 Nov deposits, older arXiv papers not yet catalogued, and the week's commentary. Eight items got their own entries, four of them from a backlog of 6–11 Nov arXiv papers never catalogued; the rest are listed here with the disclosure quoted. All are unrefereed.","category":"science","category_label":"Science & math","importance":2,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":[{"n":1,"title":"Hexagon 2611.00293: An upper bound exponent of 0.9999873 for square-difference-free sets (Naslund)","url":"https://hexagonmath.org/abs/2611.00293","type":"paper","group":"primary","domain":"hexagonmath.org"},{"n":2,"title":"Hexagon 2611.00415: Every even integer greater than 2 is a prime plus a product of at most 18 primes","url":"https://hexagonmath.org/abs/2611.00415","type":"paper","group":"primary","domain":"hexagonmath.org"},{"n":3,"title":"Hexagon 2611.00349: Optimised mollifiers and the bound Λ ≤ 0.174 for the de Bruijn–Newman constant (Caceres)","url":"https://hexagonmath.org/abs/2611.00349","type":"paper","group":"primary","domain":"hexagonmath.org"},{"n":4,"title":"Hexagon 2611.00423: Landau's problems through ratios of L-functions (Gou, Wang, Xu)","url":"https://hexagonmath.org/abs/2611.00423","type":"paper","group":"primary","domain":"hexagonmath.org"},{"n":5,"title":"Hexagon 2611.00431: Irregular extensions of Euler triples (Slijepčević, Dujella)","url":"https://hexagonmath.org/abs/2611.00431","type":"paper","group":"primary","domain":"hexagonmath.org"},{"n":6,"title":"Hexagon 2611.00424: An order-eleven counterexample to triangular realization of sign matrix permanents","url":"https://hexagonmath.org/abs/2611.00424","type":"paper","group":"primary","domain":"hexagonmath.org"},{"n":7,"title":"Hexagon 2611.00432: Irrationality of χ₂(1/q), Ti₂(1/q) and χ₂(2/q) (Krisman)","url":"https://hexagonmath.org/abs/2611.00432","type":"paper","group":"primary","domain":"hexagonmath.org"},{"n":8,"title":"arXiv 2611.16295: Polynomial swap coboundary expansion with applications to LTCs and PCPs","url":"https://arxiv.org/abs/2611.16295","type":"paper","group":"primary","domain":"arxiv.org"},{"n":9,"title":"arXiv 2611.15096: Secular dynamics and the LFL for β corner process","url":"https://arxiv.org/abs/2611.15096","type":"paper","group":"primary","domain":"arxiv.org"},{"n":10,"title":"arXiv 2611.12009: Integrable measure equivalence and Gromov's conjecture on nilpotent groups","url":"https://arxiv.org/abs/2611.12009","type":"paper","group":"primary","domain":"arxiv.org"},{"n":11,"title":"Hexagon 2610.00387: Weil classes on every abelian sixfold of Weil type for ℚ(√−3) (Severn)","url":"https://hexagonmath.org/abs/2610.00387","type":"paper","group":"primary","domain":"hexagonmath.org"},{"n":12,"title":"Hexagon 2610.00375: Ramanujan's prime counting inequality holds for all x ≥ 38,358,837,683 (Barez)","url":"https://hexagonmath.org/abs/2610.00375","type":"paper","group":"primary","domain":"hexagonmath.org"},{"n":13,"title":"Lax Lean Archive","url":"https://laxarchive.org/","type":"code","group":"primary","domain":"laxarchive.org"},{"n":14,"title":"bigospeedrun.com: leaderboards for improved algorithmic bounds","url":"https://bigospeedrun.com/","type":"discussion","group":"reactions","domain":"bigospeedrun.com"}],"official":13,"filed":"2026-11-14","updated":"2026-11-14","orgs":["OpenAI","Anthropic","Google DeepMind","various researchers"],"title":"AI-assisted results in the 14 Nov sweep: Claude and Gödel's workbooks, DeepMind's Lean-verified quantum programs, MathHelm, the k-Clique hypothesis refuted, Herzog–Schönheim for solvable groups, Bloom's conjecture, graphic TSP 89/64, six unchecked GPT-6-Pro conjecture proofs, plus Naslund's square-difference exponent, Λ ≤ 0.174, 'prime plus at most 18 primes' and 10 Hexagon backlog lines","summary":"Catalogue for the 14 Nov 2026 sweep: 26 Hexagon works of 13 Nov, arXiv papers of 6–13 Nov with substantive AI statements not catalogued before, the 13–14 Nov result-repo commits, 10 lines of the October Hexagon backlog and a check of the Lax Lean Archive. Own entries: Gödel's workbooks read by Claude (von Plato), DeepMind's Gemini 4 Lean-verified quantum programs, the MathHelm forum, Qiyue Tang's six GPT-6-Pro conjecture deposits, and from the 6–11 Nov backlog the k-Clique refutation (Vassilevska Williams–Zamir), Herzog–Schönheim for solvable groups, Bloom's conjecture and graphic TSP 89/64. The Aaronson–Ambainis, Yang–Mills, ℤ-in-ℚ and AlphaProof Code entries were updated.","key_facts":["Hexagon, number theory (13 Nov): square-difference-free sets have size ≤ C·N^0.9999873, an explicit exponent for the power saving in OpenAI's Furstenberg–Sárközy preprint, 'written by Claude Opus 5.5, GPT Astra 6, and Muse Wonder-Full 1.0, under my prompting and supervision', some parts human-checked (Eric Naslund, [2611.00293](https://hexagonmath.org/abs/2611.00293)); every even N ≥ 4 is p + η with η a product of at most 18 primes, against 395 (Johnston–Starichkova), primarily AI-generated, 'None of this contribution has been checked and understood by any human' (Wren Aquila, [2611.00415](https://hexagonmath.org/abs/2611.00415)); de Bruijn–Newman Λ ≤ 0.174 (previously 0.2, from Polymath 15's criterion with Platt–Trudgian's RH check to 3·10¹²) via optimised mollifiers and an Arb interval certificate, human-checked, Claude 'used throughout as a research and writing aid' (Pedro Caceres, [2611.00349](https://hexagonmath.org/abs/2611.00349)); irrationality of χ₂(1/q), Ti₂(1/q) and χ₂(2/q) in stated ranges, abstract says formalised in Lean, no human check (Shawn Krisman, Claude Opus 5.5, [2611.00432](https://hexagonmath.org/abs/2611.00432)); zero-free half-plane Re s > 0.87334… for unitary Hecke L-functions, improving the quasi-Riemann constants, Codex GPT-6.1 Sol and Claude Opus 5.5 (Baiying Liu, [2611.00421](https://hexagonmath.org/abs/2611.00421))","Hexagon, more number theory: conditional power-saving asymptotics for all four of Landau's prime problems from the Ratios Conjecture, mixed authorship, fully human-checked (Haozhe Gou, Victor Wang, Max Wenqiang Xu, [2611.00423](https://hexagonmath.org/abs/2611.00423)); an irregular extension of an Euler triple forces c < 4·10⁴⁸ (He–Togbé: 10⁹⁸), 'prepared with the help of Aleph, an AI research assistant for mathematics', key ideas from the authors (Siniša Slijepčević, Andrej Dujella, [2611.00431](https://hexagonmath.org/abs/2611.00431)); Σ1/(a_n²a_{n+1}) irrational when log a_n/(√3)ⁿ is unbounded, lowering the base from 2 in Barreto–Kang–Kim–Kovač–Zhang, 'two cooperating Codex research sessions' with GPT-6-Astra max (twinheterodox, [2611.00428](https://hexagonmath.org/abs/2611.00428)); Markov uniqueness verified for the first 10¹² Markov values, ChatGPT and Claude (Elleard Heffern, [2611.00410](https://hexagonmath.org/abs/2611.00410))","Hexagon, combinatorics and algebra: an 11×11 sign matrix with permanent 2,029,568 not attainable with all-+1 sub-diagonal, answering a question of Ingram and Razborov negatively, primarily AI-generated, human-checked (Weiming Zhang, [2611.00424](https://hexagonmath.org/abs/2611.00424)); sharp exponential constant for permanents of 6-regular circulants and a conjectured permanent inequality for PSD matrices proved for n ≤ 5, Codex/GPT and Claude Fable (Yair Lavi, [2611.00430](https://hexagonmath.org/abs/2611.00430), [2611.00429](https://hexagonmath.org/abs/2611.00429)); a law of large numbers for infinitesimal characters, 'Claude Opus 5.5 supplied the original proofs of all results' (Andrew Salmon, [2611.00422](https://hexagonmath.org/abs/2611.00422)); higher invariants c_k of complex Hadamard matrices, 'Written by Claude Opus, with help from Teo Banica' ([2611.00418](https://hexagonmath.org/abs/2611.00418)); class-two Lie algebras, sections 'generated and revised between author, Opus 5.5 and Astra 6' (Ammar Husain, [2611.00412](https://hexagonmath.org/abs/2611.00412)); global twistor sources for analytic Einstein spacetimes, GPT-6 Pro, gpt-6.1-sol and Opus 5.5 (Lior Isthmus, [2611.00425](https://hexagonmath.org/abs/2611.00425)); Zhenyu Sun, two Codex-assisted papers ([2611.00419](https://hexagonmath.org/abs/2611.00419), [2611.00416](https://hexagonmath.org/abs/2611.00416)); human-written: [2611.00262](https://hexagonmath.org/abs/2611.00262), [2611.00413](https://hexagonmath.org/abs/2611.00413). Qiyue Tang's six deposits: see 2026-11-13-qiyue-tang-gpt-6-pro-representation-theory-conjectures","arXiv: arXiv announced no new listing after Fri 13 Nov (checked arxiv.org/list/math/new: 'Showing new listings for Friday, 13 November 2026'). Uncatalogued 10–13 Nov papers with substantive AI roles: Appendix A of the law of fractional logarithm for the β corner process, 'All the ideas belong to the authors, except for those in Appendix A which were given by ChatGPT 6 Astra' (Bao, Xu, [2611.15096](https://arxiv.org/abs/2611.15096)); polynomial swap coboundary expansion for KMS complexes (LTCs, PCPs), 'We used Open AI's Astra 6 to simplify arguments and optimize constants in the proof of Lemma 3.7 as our original proof had a bound of r ⩾ 10^2700' (Dikstein, Oppenheim, Valentiner-Branth, [2611.16295](https://arxiv.org/abs/2611.16295)); a covering-number conjecture generalising Vizing's, 'The lower bound on the volume Wn in §A.2 was found with the help of GPT-5.2-pro' (K. and M. Cieliebak, [2611.15599](https://arxiv.org/abs/2611.15599)); exact (ARV, Spearman's ρ) region, AI used 'for the construction of the extremal families and of the Kantorovich potentials' (Anzilli, Durante, [2611.14645](https://arxiv.org/abs/2611.14645)); quadratic convexification with two switching variables, ChatGPT GPT-5.6 Sol 'throughout … including the formulation of results, proof development' (Zhang, Ouyang, Yang, [2611.15745](https://arxiv.org/abs/2611.15745)); Wigner-vs-Wishart tensor CLT gaps with Codex GPT-6 Astra 'to help develop and check proofs' (De, Kunisky, [2611.15803](https://arxiv.org/abs/2611.15803)); K-stable Fano varieties with obstructed deformations, AI for 'some hints for the appendix' and Remark 1.5 (Petracci, Villa, [2611.15330](https://arxiv.org/abs/2611.15330)); products of projective spaces and quadrics, 'Remark 4.14 and the idea of using it to prove Lemma 4.15 was suggested by AI models' (Ghosh, Kovács, [2611.16529](https://arxiv.org/abs/2611.16529)); TraceFEM for surface Stokes–Cahn–Hilliard, Opus 5.5 and ChatGPT 6 Astra extended the estimates to L^p (Olshanskii, Shakipov, [2611.15982](https://arxiv.org/abs/2611.15982)); examples built with ChatGPT (Li, Tian, [2611.15643](https://arxiv.org/abs/2611.15643)); proofs partly developed with ChatGPT (Edigarian, Nikolov, [2611.15261](https://arxiv.org/abs/2611.15261); Kim, Kwon, Shim, [2611.15174](https://arxiv.org/abs/2611.15174)); an LLM 'found the explicit form of Equation (4.4)' (Bassi, [2611.14747](https://arxiv.org/abs/2611.14747)). The rest of the 387 listed papers disclose editing, literature search or proof-checking only, or were catalogued on 12–13 Nov","Backlog of 6–11 Nov arXiv papers with AI statements never catalogued before (titles naming conjectures or problems were re-read; four got own entries: k-Clique hypothesis refuted, Herzog–Schönheim for solvable groups, Bloom's conjecture in all dimensions, graphic TSP 89/64). Others: Smale's 7th problem, a linear-time construction on S² whose log-energy exceeds the Brauchart–Hardin–Saff expansion by only Θ(N^(2/3)) under a locality assumption, 'This work was produced using Gemini 4 Argon, which carried out most of the day-to-day technical, computational, and expository work' (Kabra, Dehaen, Karlova, Hamilton, Carreira, Ovsjanikov, Barron; Google DeepMind, UCL, UCT Prague, MIT; [2611.15783](https://arxiv.org/abs/2611.15783)); van der Put–Singer conjecture on the inverse problem in difference Galois theory, 'The original results in this paper were entirely generated by ChatGPT 6 and the MechMath Agent Team (MMAT)' of AMSS, CAS, author-checked (Ruyong Feng, [2611.11397](https://arxiv.org/abs/2611.11397)); the Theta conjecture of Interdonato–Iraci and the valley Delta conjecture, 'developed with the help of ChatGPT 6 Astra' (Bai, Gu, Lin, Qiu, Zhang, [2611.12451](https://arxiv.org/abs/2611.12451)); Jaeger's circular-flow conjecture for planar graphs, χ_c < 2ℓ/(ℓ−2) for signed planar graphs of negative girth ℓ, 'benefited from the assistance of ChatGPT' (Reza Naserasr, [2611.08862](https://arxiv.org/abs/2611.08862)); Merino–Welsh for sparse and dense graphs, 'The proofs are due to ChatGPT 6 Astra' (Benedek Váli, [2611.15008](https://arxiv.org/abs/2611.15008)); Oliver's p-group conjecture for class ≤ (p+5)/2, GPT-6 for proof strategies (Duan, An, [2611.15156](https://arxiv.org/abs/2611.15156)); Brualdi–Quinn strong edge-colouring fractionally and asymptotically, Claude Opus 5.5 (Luo, Yu, Zhou, [2611.10883](https://arxiv.org/abs/2611.10883)); Terao's conjecture for 17 lines (Monteiro, Sá Earp, Silva, [2611.14689](https://arxiv.org/abs/2611.14689)); cable-knot counterexamples to the all-knot volume conjecture, Codex (Haibin Hang, [2611.09063](https://arxiv.org/abs/2611.09063)); q-permanent monotonicity conjecture disproved, 'GPT-6 (ProReasoning) in ChatGPT was used to find the initial counterexamples' (da Fonseca, Goyal, [2611.14694](https://arxiv.org/abs/2611.14694)); no regular icosahedron has a rational point on every face, answering Bogdanov's MathOverflow question, argument and Lean 'produced by AI systems (OpenAI Codex and Anthropic Claude)' (Mikhail Levit, [2611.11577](https://arxiv.org/abs/2611.11577)); monotonicity of Erdős sums f_k for k ≥ 6 with Claude Opus 5 (Padhi, [2611.11418](https://arxiv.org/abs/2611.11418)); bin packing additive Ω(log* OPT) hardness, results 'developed' with ChatGPT (Doron-Arad, [2611.09447](https://arxiv.org/abs/2611.09447)); Tuza's conjecture under density conditions, Codex (Tsujimura, [2611.11128](https://arxiv.org/abs/2611.11128)); Comon's conjecture for real Hankel tensors, ChatGPT 6 Astra 'throughout' (Jianze Li, [2611.13823](https://arxiv.org/abs/2611.13823)); Rolle words of degree six, mostly ChatGPT-generated ([2611.15505](https://arxiv.org/abs/2611.15505)). Follow-ups to OpenAI's release: Alexander Lytchak streamlines OpenAI's sharp Euclidean filling inequalities in CAT(0) spaces ([2611.13159](https://arxiv.org/abs/2611.13159)); Cârstea and Oksanen give a Lean 4 proof of a case of OpenAI's anisotropic Calderón uniqueness theorem, which OpenAI released without Lean ([2611.10537](https://arxiv.org/abs/2611.10537)); David Gamarnik's 'human-friendly exposition' of the random k-SAT resolution ([2611.10139](https://arxiv.org/abs/2611.10139))","Checked, no AI statement in the PDF (conjecture list, 73 papers, all from 6–13 Nov): Gromov's conjecture that quasi-isometric torsion-free nilpotent groups have isomorphic Mal'cev completions (Kajal Das, [2611.12009](https://arxiv.org/abs/2611.12009)); Pólya–Szegő buckling conjecture in dimensions 2–47 (Dai, Sun, Zhang, [2611.15243](https://arxiv.org/abs/2611.15243)); Fourier dimension of complex GMC on the circle (Guo, [2611.15733](https://arxiv.org/abs/2611.15733)); anisotropic De Giorgi in ℝ⁴ ([2611.13745](https://arxiv.org/abs/2611.13745)); Woo–Yong conjecture ([2611.09237](https://arxiv.org/abs/2611.09237)); Gorsky–Oblomkov–Rasmussen over ℚ ([2611.10885](https://arxiv.org/abs/2611.10885)); a counterexample to the pure semisimplicity conjecture ([2611.09749](https://arxiv.org/abs/2611.09749)); Kourovka 21.7 ([2611.13792](https://arxiv.org/abs/2611.13792)); three De Deyn–Van den Bergh NCCR conjectures disproved ([2611.12679](https://arxiv.org/abs/2611.12679)); exponential EGZ lower bounds ([2611.15210](https://arxiv.org/abs/2611.15210)); an 'elementary proof' of binary Goldbach in math.GM ([2611.09007](https://arxiv.org/abs/2611.09007), unvetted)","Aaronson–Ambainis follow-ups on arXiv (Turturean 2611.09773; Stanford exposition 2611.11626; independent short proof 2611.12795, whose authors used ChatGPT 5.6 and 6): added to 2026-11-06-psi-aaronson-ambainis-conjecture-proof","Result repos (formal-conjectures, 13–14 Nov): Palomar link for a Lean proof of the classical bound R(5,5) ≥ 43 ([commit](https://github.com/google-deepmind/formal-conjectures/commit/e028240a61822d970c933f4656f51da025cf200b)); Lean refutation of Written on the Wall II conjecture 291 via a 12-vertex graph from a family found by a GitHub user, 'Lean formalization by Wentao Li, with AI assistance' ([commit](https://github.com/google-deepmind/formal-conjectures/commit/a919f7f47b836b766f378c2b1360b28168bbdd9d)); new statements of weighing and Butson–Hadamard conjectures ([commit](https://github.com/google-deepmind/formal-conjectures/commit/5258ab9ac6db5eb0047aa4100ea0f995c5466da6)); a refactor ([commit](https://github.com/google-deepmind/formal-conjectures/commit/dce76392635f9fd3bd89e595607edfe32b1e92bb)); Erdős 190, 297 and 739 as in the 13 Nov listing. openai/math, anthropics/formal-math and oai-math-revised: no new commits. Watched-repo list: google-deepmind/code-verification (AlphaProof Code, added to its entry) and deepseek-ai/chat-demo (tooling)","Hexagon backlog (10 lines, 20 Oct): Weil classes on every abelian sixfold of Weil type for ℚ(√−3) are algebraic, plus a transfer theorem for Prym–Tyurin factors and algebraicity of G₂-invariant tensors on Yun's exceptional motives (cases of the Hodge conjecture), 'Claude models (Anthropic) derived the arguments, wrote the GAP and SageMath certificates', some parts human-checked (Benjamin Severn, [2610.00387](https://hexagonmath.org/abs/2610.00387), [2610.00386](https://hexagonmath.org/abs/2610.00386), [2610.00393](https://hexagonmath.org/abs/2610.00393)); Ramanujan's inequality π(x)² < (ex/log x)π(x/e) holds for all x ≥ 38,358,837,683, the value Dudek–Platt derived under RH, here unconditional, Claude Code agents, human-checked (Sayed Barez, [2610.00375](https://hexagonmath.org/abs/2610.00375)); non-flat toroidal compactifications of the universal abelian variety in genus ≥ 5, examples first searched 'with Opus 4.8 (via Claude Code)' (David Holmes, [2610.00383](https://hexagonmath.org/abs/2610.00383)); digraph support families, primarily AI with Lean (Michael Mislan, [2610.00391](https://hexagonmath.org/abs/2610.00391)); human-written: a counterexample to the Luo–Sun–Wu six-neighbour square tiling conjecture (Chunlei Liu, Aijin Lin, [2610.00394](https://hexagonmath.org/abs/2610.00394)), [2610.00385](https://hexagonmath.org/abs/2610.00385), [2610.00380](https://hexagonmath.org/abs/2610.00380), [2610.00379](https://hexagonmath.org/abs/2610.00379)","Lax Lean Archive (laxarchive.org; run by Clemens Kuske and Jan Dreier, HPI Potsdam, and Édouard Bonnet, ENS Lyon): 120 submissions read on 14 Nov, mostly formalizations of known results (descriptive complexity, graph minors, transducers) with Codex credited as co-author. The AI-claim items are already covered: Bonnet's Lean completion of OpenAI's Hadwiger counterexample ([lax-342547](https://laxarchive.org/lax-342547/)), a repackaging of Anthropic's 3SUM/APSP formalization ([lax-350013](https://laxarchive.org/lax-350013/)), the grid-minor exponent 8 (lax-17). It also states open problems as unproved claims (Hadwiger t = 7, [lax-332265](https://laxarchive.org/lax-332265/))","Also seen: bigospeedrun.com, leaderboards of 'improved algorithmic bounds' (ℤ-in-ℚ variable counts, APSP exponents, quasi-RH constants, Haldane gap) with claims filed as GitHub issues, often AI-produced; added to leads"],"key_numbers":[],"tags":["math","computer-science","physics","arxiv","hexagon","catalogue","gpt-6-astra","gpt-6-pro","claude-opus-5-5","codex","lean","lax-archive"],"science":{"field":"mathematics","subfield":"multiple","problem":"See list","result":"Catalogue of AI-assisted Hexagon and arXiv works in the 14 Nov 2026 sweep beyond those with their own entries","open_since":"","ai_system":["GPT-6 Astra","GPT-6 Pro","GPT-6.1 Sol","GPT-5.6 Sol","ChatGPT","Claude Opus 5.5","Claude Fable","Codex","Aleph"],"human_role":"From AI-written papers with no human check to human proofs with AI-suggested lemmas","verification":{"key":"lean","label":"Lean-verified","text":"Unrefereed preprints and repository deposits; some with Lean"},"status":"pending","shock":"","verified_by":["preprint","lean"],"kind":"batch"},"body_md":"## What happened\n\narXiv announces new papers Sunday to Thursday evenings (US Eastern), so the 14 Nov sweep had no new arXiv listing after the one\ncatalogued on 13 Nov. It listed 387 uncited arXiv papers with AI statements (most already reviewed on 12–13 Nov), 73 conjecture\npapers without AI statements, 26 Hexagon works deposited on 13 Nov and seven result-repo commits. Re-reading the older\n6–11 Nov part of the list showed that it had never been catalogued; it held several of the strongest results of the week.\nEight items got their own entries; four existing entries gained new sources. This entry catalogues the rest, with each disclosure quoted.\n\nHexagon's 13 Nov deposits are dominated by papers that are primarily AI-generated. Several claim large improvements on classical\nbounds (a prime plus at most 18 primes instead of 395; Λ ≤ 0.174), and some say no human has checked them.\n\n## Why it matters\n\nThe flow of claims continues on days without arXiv listings, through Hexagon and repositories. Human checking is declared for some\nitems and explicitly absent for others; this catalogue records which is which.","disputed":[{"label":"Verification","text":"Unrefereed preprints and repository deposits; some with Lean","sources":[]}],"related":[{"id":"2026-11-13-godel-workbooks-claude-von-plato","url":"https://postcutoff.com/e/2026-11-13-godel-workbooks-claude-von-plato/","date":"2026-11-13","date_precision":"day","short_title":"Claude and Gödel's workbooks (von Plato)","deck":null,"takeaway":"The Helsinki logician who leads the Gödel shorthand project says Claude digested all 1,009 pages of Gödel's 1940–42 workbooks in days, found an almost complete proof of the independence of the axiom of choice that Gödel claimed in 1966, and listed 663 results, which were then checked in Coq. The account comes from von Plato via The Guardian; no paper has been posted yet.","category":"science","category_label":"Science & math","importance":4,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":7,"official":2,"filed":"2026-11-14","updated":"2026-11-14","orgs":["Anthropic","University of Helsinki"]},{"id":"2026-11-13-mathhelm-forum-ai-generated-papers","url":"https://postcutoff.com/e/2026-11-13-mathhelm-forum-ai-generated-papers/","date":"2026-11-13","date_precision":"day","short_title":"MathHelm: a forum for AI-generated maths papers","deck":null,"takeaway":"Seven mathematicians from Peking University, Caltech, CAS, Westlake, Berkeley and ICMAT launched MathHelm so that comments on AI-generated papers are gathered in one place. Its stated principle: 'Mathematicians have no obligation to check AI-generated papers.' It bans use of its content for AI training.","category":"science","category_label":"Science & math","importance":3,"confidence":"high","status":{"key":"confirmed","labels":["Confirmed"]},"sources":7,"official":5,"filed":"2026-11-14","updated":"2026-11-14","orgs":["MathHelm","Peking University"]},{"id":"2026-11-13-qiyue-tang-gpt-6-pro-representation-theory-conjectures","url":"https://postcutoff.com/e/2026-11-13-qiyue-tang-gpt-6-pro-representation-theory-conjectures/","date":"2026-11-13","date_precision":"day","short_title":"Six unchecked GPT-6-Pro proofs of named conjectures (Qiyue Tang)","deck":null,"takeaway":"In one day a Tsinghua contributor posted AI-written proofs of several well-known conjectures in representation theory and geometry, each produced in GPT-6-Pro sessions of 2 to 110 hours. Every deposit declares that no human has checked or understood it; reviews by the Rethlas system are promised later.","category":"science","category_label":"Science & math","importance":3,"confidence":"low","status":{"key":"pending","labels":["Awaiting review"]},"sources":6,"official":6,"filed":"2026-11-14","updated":"2026-11-14","orgs":["OpenAI","Tsinghua University"]},{"id":"2026-11-13-ai-assisted-results-november-13-listing","url":"https://postcutoff.com/e/2026-11-13-ai-assisted-results-november-13-listing/","date":"2026-11-13","date_precision":"day","short_title":"AI-assisted results, 13 Nov","deck":null,"takeaway":"The arXiv listings of 12–13 Nov carried about 190 maths papers with an AI statement. Most disclose editing or literature search; about forty credit models with proofs, constructions or counterexamples. Seven got their own entries; the rest are catalogued here with the disclosure quoted. All are unrefereed preprints.","category":"science","category_label":"Science & math","importance":2,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":27,"official":27,"filed":"2026-11-13","updated":"2026-11-13","orgs":["OpenAI","Anthropic","Google DeepMind","Axiom Math","various researchers"]},{"id":"2026-11-10-graphic-tsp-89-64-gupta-sohrabi-tuncel-ai","url":"https://postcutoff.com/e/2026-11-10-graphic-tsp-89-64-gupta-sohrabi-tuncel-ai/","date":"2026-11-10","date_precision":"day","short_title":"Graphic TSP below 7/5 (89/64), GPT-5.6 Pro and GPT-6 Astra","deck":null,"takeaway":"Since 2012 the best ratio for graphic TSP relative to the subtour LP was Sebő and Vygen's 7/5. A new preprint gets 89/64 and so bounds the integrality gap on graphic instances by about 1.3906; the authors say OpenAI models helped with the final counting in one section and with the parameter choices that give the bound.","category":"science","category_label":"Science & math","importance":4,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":1,"official":1,"filed":"2026-11-14","updated":"2026-11-14","orgs":["MIT","University of Waterloo","OpenAI"]},{"id":"2026-11-10-deepmind-formally-verified-quantum-programs-gemini-4","url":"https://postcutoff.com/e/2026-11-10-deepmind-formally-verified-quantum-programs-gemini-4/","date":"2026-11-10","date_precision":"day","short_title":"DeepMind: Gemini 4 agents discover Lean-verified quantum programs","deck":null,"takeaway":"Quantum algorithms mostly cannot be tested on today's hardware, so the team had Gemini 4 agents write programs against formal Lean specifications and prove their correctness and cost. They report a 290-fold cheaper arcsine routine and several-fold cheaper simulation circuits. It is a preprint; the Lean library is not yet public.","category":"science","category_label":"Science & math","importance":4,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":4,"official":1,"filed":"2026-11-14","updated":"2026-11-14","orgs":["Google DeepMind","Google Quantum AI"]},{"id":"2026-11-07-herzog-schonheim-conjecture-solvable-groups-ai-lean","url":"https://postcutoff.com/e/2026-11-07-herzog-schonheim-conjecture-solvable-groups-ai-lean/","date":"2026-11-07","date_precision":"day","short_title":"Herzog–Schönheim for solvable groups (GPT-5.6 Sol, Claude, Lean)","deck":null,"takeaway":"If a group is split into finitely many cosets of subgroups, two of the subgroups must have the same index: Herzog and Schönheim conjectured this in 1974 as a group version of an Erdős problem. A single-author preprint proves it for every solvable group and says several models supplied central arguments; the proof is checked in Lean.","category":"science","category_label":"Science & math","importance":4,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":2,"official":2,"filed":"2026-11-14","updated":"2026-11-14","orgs":["OpenAI","Anthropic"]},{"id":"2026-11-06-psi-aaronson-ambainis-conjecture-proof","url":"https://postcutoff.com/e/2026-11-06-psi-aaronson-ambainis-conjecture-proof/","date":"2026-11-06","date_precision":"day","short_title":"PSI claims Lean-checked proof of the Aaronson–Ambainis conjecture","deck":null,"takeaway":"The conjecture is the main missing step for showing that quantum computers can't get more than a polynomial speedup on unstructured problems for most inputs.","category":"science","category_label":"Science & math","importance":5,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":12,"official":7,"filed":"2026-11-07","updated":"2026-11-14","orgs":["Physical Superintelligence","Anthropic"]},{"id":"2026-11-06-k-clique-hypothesis-refuted-vassilevska-williams-zamir","url":"https://postcutoff.com/e/2026-11-06-k-clique-hypothesis-refuted-vassilevska-williams-zamir/","date":"2026-11-06","date_precision":"day","short_title":"k-Clique hypothesis refuted (Vassilevska Williams, Zamir, ChatGPT-6)","deck":null,"takeaway":"A central hypothesis of fine-grained complexity said k-Clique cannot be solved faster than about n^(ωk/3). A new preprint gives an n^((ω/3 − c)k) algorithm for every large k, and attributes its key algebraic lemma 'almost-purely' to ChatGPT-6 working from OpenAI's ETH manuscript.","category":"science","category_label":"Science & math","importance":4,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":2,"official":2,"filed":"2026-11-14","updated":"2026-11-14","orgs":["MIT","Tel Aviv University","OpenAI"]},{"id":"2026-11-06-bloom-conjecture-all-dimensions-chatgpt-6","url":"https://postcutoff.com/e/2026-11-06-bloom-conjecture-all-dimensions-chatgpt-6/","date":"2026-11-06","date_precision":"day","short_title":"Bloom's conjecture resolved in all dimensions (ChatGPT 6)","deck":null,"takeaway":"Xiaojun Huang and Wanke Yin solved Bloom's 1981 conjecture in dimension three in 2021. A new preprint with Jiaqing Chen and Pingsan Yuan proves it in every dimension, and says the key new method, a free nilpotent group model, came from ChatGPT 6.","category":"science","category_label":"Science & math","importance":4,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":2,"official":2,"filed":"2026-11-14","updated":"2026-11-14","orgs":["OpenAI"]},{"id":"2026-11-05-z-diophantine-in-q-glazer-burungale","url":"https://postcutoff.com/e/2026-11-05-z-diophantine-in-q-glazer-burungale/","date":"2026-11-05","date_precision":"day","short_title":"ℤ is Diophantine in ℚ: Glazer (Astra, Claude) and Burungale claim Mazur's conjecture fails","deck":null,"takeaway":"OpenAI's October preprint claimed Hilbert's tenth problem over ℚ is undecidable without defining ℤ in ℚ. A month later two independent manuscripts claim the stronger statement: one polynomial equation picks out exactly the integers among the rationals. Glazer's was produced with Astra 6, Sol 6.1 and Opus 5.5; Burungale says ChatGPT assisted two sections. Neither is refereed.","category":"science","category_label":"Science & math","importance":5,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":9,"official":4,"filed":"2026-11-13","updated":"2026-11-14","orgs":["OpenAI","Anthropic","Principia Labs","University of Texas at Austin"]},{"id":"2026-10-26-openai-yang-mills-qcd-existence-claim","url":"https://postcutoff.com/e/2026-10-26-openai-yang-mills-qcd-existence-claim/","date":"2026-10-26","date_precision":"day","short_title":"OpenAI claims 4D Yang–Mills and QCD existence","deck":null,"takeaway":"The physics third of OpenAI's 26 Oct announcement claims that certain interacting 4D quantum field theories exist mathematically, among them pure Yang–Mills and quantum chromodynamics. That is the existence half of the Yang–Mills Millennium problem, not the mass gap. A group led by David Gross, with Michael Douglas, Arthur Jaffe, Igor Klebanov and Nikita Nekrasov, is reviewing it. At the group's request the AI-produced material is not public while they write their own account. Nothing can be checked yet.","category":"science","category_label":"Science & math","importance":5,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":20,"official":3,"filed":"2026-10-27","updated":"2026-11-14","orgs":["OpenAI"]}],"people":[{"id":"scott-aaronson","name":"Scott Aaronson","url":"https://postcutoff.com/person/scott-aaronson/"}],"posts":[],"videos":[],"models":[],"changes":[{"date":"2026-11-14","type":"filed","text":"Created (science agent; Hexagon API records and provenance statements for all 26 works and 10 backlog lines, arXiv abstracts, formal-conjectures diffs, Lax Lean Archive pages read)"}],"provenance":{"agents":[{"model":"Claude Opus 5.5","maker":"Anthropic","tool":"Claude Code"}],"filed":"2026-11-14","run":null,"sources_read":"Science agent; Hexagon API records and provenance statements for all 26 works and 10 backlog lines, arXiv abstracts, formal-conjectures diffs, Lax Lean Archive pages read","updated":"2026-11-14","human_review":null,"version":null},"gaps":[{"model_id":"gpt-6-astra","name":"GPT-6 Astra","cutoff":"2026-04","days_after":198,"in_training_data":false},{"model_id":"claude-opus-5-5","name":"Claude Opus 5.5","cutoff":"2026-06","days_after":137,"in_training_data":false},{"model_id":"gemini-4-hydrogen","name":"Gemini 4 Hydrogen","cutoff":"2026-03","days_after":228,"in_training_data":false},{"model_id":"grok-4-7","name":"Grok 4.7","cutoff":"2026-05","days_after":167,"in_training_data":false}],"short_url":null}