{"schema":"postcutoff/event@1","as_of":"2026-10-23T13:24:00+02:00","url":"https://postcutoff.com/e/2026-10-23-ai-assisted-results-october-23-listing/","md":"https://postcutoff.com/e/2026-10-23-ai-assisted-results-october-23-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":"2026-10-23-ai-assisted-results-october-23-listing","date":"2026-10-23","date_precision":"day","short_title":"AI-assisted results in the 23 Oct 2026 arXiv listing","deck":"DeepMind's Gemini 4 Argon loop on Lehmer's problem, Demmel's Claude Code-built MRRR SVD solver, a Claude–GPT agent harness proof with Lean, GPT-6 Astra on k-Hessian and Steklov problems","takeaway":"Friday's arXiv announcement brought a disproof of Barry Simon's L² conjecture and the Critical 2D KPZ process (both with ChatGPT), an expert diagnosis of OpenAI's withdrawn Hodge papers and a hand-written version of OpenAI's Barnette proof. This page lists the next tier.","category":"science","category_label":"Science & math","importance":3,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":[{"n":1,"title":"arXiv 2610.30277: Breaking the high-degree barrier in Lehmer's problem (Google DeepMind)","url":"https://arxiv.org/abs/2610.30277","type":"paper","group":"primary","domain":"arxiv.org"},{"n":2,"title":"arXiv 2610.30227: DBDSVDMR3, an MRRR-based bidiagonal SVD solver (Demmel et al.)","url":"https://arxiv.org/abs/2610.30227","type":"paper","group":"primary","domain":"arxiv.org"},{"n":3,"title":"arXiv 2610.30808: Global convergence of detailed balanced mass action systems (ClawsGO Science)","url":"https://arxiv.org/abs/2610.30808","type":"paper","group":"primary","domain":"arxiv.org"},{"n":4,"title":"arXiv 2610.31445: Boundary regularity of k-Hessian eigenfunctions","url":"https://arxiv.org/abs/2610.31445","type":"paper","group":"primary","domain":"arxiv.org"},{"n":5,"title":"arXiv 2610.31387: Lower bounds on Steklov eigenfunctions for curvilinear polygons","url":"https://arxiv.org/abs/2610.31387","type":"paper","group":"primary","domain":"arxiv.org"},{"n":6,"title":"arXiv 2610.30761: A simple proof of unitary parallelization via port-based teleportation","url":"https://arxiv.org/abs/2610.30761","type":"paper","group":"primary","domain":"arxiv.org"},{"n":7,"title":"arXiv 2610.31464: Pólya's conjecture for Neumann eigenvalues of spherical shells","url":"https://arxiv.org/abs/2610.31464","type":"paper","group":"primary","domain":"arxiv.org"},{"n":8,"title":"arXiv 2610.30797: OpenAI partially disproves Littlewood's 1961 L^α-flat theorem","url":"https://arxiv.org/abs/2610.30797","type":"paper","group":"primary","domain":"arxiv.org"},{"n":9,"title":"arXiv 2610.30712: Fuglede's conjecture in F₂⁸ and F₁₁³","url":"https://arxiv.org/abs/2610.30712","type":"paper","group":"primary","domain":"arxiv.org"},{"n":10,"title":"arXiv 2610.31179: Degenerations of Jordan algebras (Lean, Aristotle)","url":"https://arxiv.org/abs/2610.31179","type":"paper","group":"primary","domain":"arxiv.org"},{"n":11,"title":"arXiv 2610.31531: The Cheng–Murray conjecture on deep holes of Reed–Solomon codes","url":"https://arxiv.org/abs/2610.31531","type":"paper","group":"primary","domain":"arxiv.org"},{"n":12,"title":"arXiv 2610.31555: Lipschitz clustering in normed and barycentric spaces","url":"https://arxiv.org/abs/2610.31555","type":"paper","group":"primary","domain":"arxiv.org"},{"n":13,"title":"arXiv 2610.30700: Arithmetic-progression biases in random partitions (Li–Zhao conjecture)","url":"https://arxiv.org/abs/2610.30700","type":"paper","group":"primary","domain":"arxiv.org"},{"n":14,"title":"arXiv 2610.31212: An algebraic proof of 1-extension","url":"https://arxiv.org/abs/2610.31212","type":"paper","group":"primary","domain":"arxiv.org"},{"n":15,"title":"arXiv 2610.30503: The Linearity Conjecture (Sziklai)","url":"https://arxiv.org/abs/2610.30503","type":"paper","group":"primary","domain":"arxiv.org"},{"n":16,"title":"arXiv 2610.30096: 2D inhomogeneous incompressible Euler well-posedness","url":"https://arxiv.org/abs/2610.30096","type":"paper","group":"primary","domain":"arxiv.org"},{"n":17,"title":"arXiv 2610.31150: Gamma conjectures for Milnor hypersurfaces","url":"https://arxiv.org/abs/2610.31150","type":"paper","group":"primary","domain":"arxiv.org"},{"n":18,"title":"arXiv 2610.31589: Conway's thrackle conjecture, upper bound 4n/3","url":"https://arxiv.org/abs/2610.31589","type":"paper","group":"primary","domain":"arxiv.org"},{"n":19,"title":"arXiv 2610.31622: GEM-PIC-RZ (Claude-written PIC code)","url":"https://arxiv.org/abs/2610.31622","type":"paper","group":"primary","domain":"arxiv.org"},{"n":20,"title":"arXiv 2610.30216: Lean-QuantumAlg","url":"https://arxiv.org/abs/2610.30216","type":"paper","group":"primary","domain":"arxiv.org"},{"n":21,"title":"arXiv 2610.30615: {2,4}-distance code conjecture, ternary and quaternary cases","url":"https://arxiv.org/abs/2610.30615","type":"paper","group":"primary","domain":"arxiv.org"},{"n":22,"title":"arXiv 2610.29817: Pfaffian recognition is in coRP","url":"https://arxiv.org/abs/2610.29817","type":"paper","group":"primary","domain":"arxiv.org"},{"n":23,"title":"AxiomMath/RiemannJensen (Lean, GitHub)","url":"https://github.com/AxiomMath/RiemannJensen","type":"code","group":"primary","domain":"github.com"}],"official":23,"filed":"2026-10-23","updated":"2026-10-23","orgs":["Google DeepMind","OpenAI","Anthropic","Harmonic","various mathematicians"],"title":"AI-assisted results in the 23 Oct 2026 arXiv listing: DeepMind's Gemini 4 Argon loop on Lehmer's problem, Demmel's Claude Code-built MRRR SVD solver, a Claude–GPT agent harness proof with Lean, GPT-6 Astra on k-Hessian and Steklov problems","summary":"Catalogue of AI-disclosing papers in the 23 Oct 2026 arXiv announcement (submitted 21–22 Oct), plus leftovers. Own entries: Becker–Yang's disproof of Simon's L² conjecture, the Critical 2D KPZ process, and Zhentao Li's exposition of OpenAI's Barnette proof. Enriched: Lekili–Sheridan's sign-error diagnosis (Hodge entry), Banks's number-field Siegel-zero paper, the Chudnovskys' CM-period generalization, Bellotti–Kerr's Gauss sphere bound (quasi-RH entry). The rest is listed here.","key_facts":["Own entries: Simon's L² conjecture (2610.31637), Critical 2D KPZ (2610.31614), Barnette exposition (2610.30490). Enriched: Hodge (Lekili–Sheridan, 2610.30976), Landau–Siegel (Banks, 2610.31402), lemniscate (Chudnovsky, 2610.31112), quasi-RH (Bellotti–Kerr, 2610.29636)","Lehmer's problem (Yuri Chervonyi, Sergei Gukov, Thang Luong; Google DeepMind; 2610.30277): a 'human–AI discovery loop' with Gemini in the Google Antigravity agent environment derives a five-parameter 'Generalized Boyd algorithm' giving irreducible polynomials with Mahler measure below Boyd's limit point α1 ≈ 1.255434 for every target degree; across even degrees up to 2000 it improves six published values and holds 99.6% of best-known records. 'Throughout this work, we used internal versions of Gemini, including Gemini 4 Argon.' Does not settle Lehmer's question","MRRR for the bidiagonal SVD (James Demmel, Inderjit Dhillon, Duvvuri, Julien Langou, Osni Marques, Ryan Schneider; 2610.30227): DBDSVDMR3, an O(kn) MRRR-based bidiagonal SVD solver built from LAPACK 3.0's DSTEGR, after two earlier attempts were abandoned as unreliable. 'Our implementation … was obtained with the help of Claude Code'; an expert 'did not write the Fortran but fixed the mathematical constraints through prompts'; 'developed and analyzed with substantial assistance from large-language-model agents (Anthropic Claude) operating in evaluator-gated loops'","Global convergence of detailed balanced mass-action systems (Lv, Ni, Wang, He; BitMiracle AI Lab; 2610.30808): unique positive equilibrium per class and convergence of every positive trajectory, with a ~9,300-line Lean 4 formalization (7,900 lines adapted from OpenAI's persistence formalization). 'The proofs, the Lean development, and the manuscript were produced in ClawsGO Science, an agent harness … Claude Opus 5.5 made the research decisions, GPT 6 Astra carried them out, and the Lean kernel checked every formal step.' Builds on OpenAI's claimed persistence theorem for weakly reversible systems","k-Hessian eigenfunctions (Guohuan Qiu, Jin Yan; 2610.31445): smoothness up to the boundary for 2 ≤ k < n on uniformly convex domains, 'an open problem in the regularity theory of degenerate fully nonlinear elliptic equations'. 'Through extensive discussions with GPT-6 Astra over about a month, we resolved the analytic difficulties … Most of the blow-up techniques used in the proof were suggested by GPT.'","Steklov eigenfunctions on curvilinear polygons (Jeffrey Galkowski, Ruoyu P. T. Wang; 2610.31387): optimal lower bounds. 'The proof in this paper was obtained through an interaction with ChatGPT 6 Astra … ChatGPT suggested the ideas for a proof based on a regularized trace and the singularity in the kernel of the DtN map near a corner'; the authors then simplified it with a conformal approach","Port-based teleportation (Anurag Anshu, Quynh T. Nguyen; 2610.30761): an elementary polylog-depth PBT circuit and a simple proof of unitary parallelization. 'In a few prompts, ChatGPT Astra came up with the protocol in this note, in particular the remarkable single reflection teleportation protocol.'","Pólya's conjecture for Neumann eigenvalues of spherical shells (Yutian Li; 2610.31464), every dimension, radius ratio and energy: ChatGPT and Claude used 'to assist with mathematical exploration and proof development, checking intermediate arguments and calculations, literature searches, and drafting'","Littlewood's L^α-flat theorem (el Houcein el Abdalaoui; 2610.30797): argues that OpenAI's ultraflat-polynomial counterexample (family 076) uses hyper-lacunary coefficients that violate an implicit assumption of Littlewood's 1961 theorem, so it 'offers only a limited refutation'","Fuglede's conjecture in F₂⁸ and F₁₁³ (Ferguson, Iosevich; 2610.30712): 'The authors acknowledge the use of OpenAI's ChatGPT for assistance in writing the computer programs used in this work and for collaboration in drafting'","Degenerations of Jordan algebras (Bovdi, Kaygorodov, Popov, Saydaliyev, Volkov; 2610.31179): all degenerations of 4-dim Jordan and 5-dim nilpotent Jordan algebras, 'formally verified in the proof assistant Lean 4'; 'Aristotle (https://aristotle.harmonic.fun/) acted as a non-human research assistant, assisting in error verification and proof simplification'","Supporting roles: Cheng–Murray conjecture on deep holes of Reed–Solomon codes, all remaining non-exceptional cases (Weijun Fang, 2610.31531; GPT-6 for 'checking some of the main proofs'); Lipschitz retractions of finite-subset spaces settling open problems (Kovalev, 2610.31555; ChatGPT and Claude for 'mathematical exploration'); Li–Zhao conjecture on partitions (2610.30700, ChatGPT 'exploratory discussions'); 1-extension and rigidity (Heaton, Winter, 2610.31212: 'an iterative process that included important ideas from both humans and LLM'); Linearity Conjecture for blocking sets, p^e ≠ 3, 4 (Peter Sziklai, 2610.30503: 'assisted by AI tools, in parts of mathematical exploration, computations and drafting'); 2D inhomogeneous Euler well-posedness (Suleiman, 2610.30096: quasiconformal approach 'found in conversation with Gemini Pro'); Gamma conjectures for Milnor hypersurfaces (2610.31150, ChatGPT for proofreading and minor checks)","Conway's thrackle conjecture: new upper bound ⌊4(n−1)/3⌋ edges (Dániel Gábor Simon, 2610.31589); a computational result 'also double-checked by an AI agent', otherwise human","Repository only (no paper or post found on 23 Oct): AxiomMath/RiemannJensen (created 23 Oct), a Lean formalization that 'almost all zeros of the Jensen polynomials of the Riemann and Dedekind xi functions are distinct negative reals': for d ≥ 2 the degree-d Riemann Jensen polynomial has at most C√(d log d) nonreal roots, and similarly for Dedekind zeta of every number field; checked against a Mathlib-only challenge file with the Lean comparator. The README does not say how much was AI-generated (Axiom builds AxiomProver)","Software and physics: GEM-PIC-RZ laser-plasma PIC code (Alexander Pukhov, 2610.31622): 'Claude generated the code, tests, benchmark scripts, and documentation, while the author directed the work and did not write or edit the source code'; Lean-QuantumAlg framework for AI-produced quantum algorithms (2610.30216)","No substantive AI role or no statement: {2,4}-distance code conjecture for q = 3, 4 (2610.30615, verification code only); Pfaffian recognition in coRP, open since Vazirani–Yannakakis 1989 (2610.29817, ChatGPT for language only); TSP local-search gaps (2610.31513, 'without the use of AI tools'); no perfect randomized composition (2610.31638), Bugeaud–Evertse complexity exponent 1/4 (2610.30937), Breiman's conjecture, slowly varying case (2610.29551): no AI statement found by the sweep"],"key_numbers":[],"tags":["math","computer-science","physics","arxiv","catalogue","chatgpt","gpt-6-astra","claude","claude-code","gemini","gemini-4-argon","aristotle","lean"],"science":{"field":"mathematics","subfield":"multiple (number theory, numerical linear algebra, PDE, spectral theory, quantum information, combinatorics)","problem":"Lehmer's problem records; MRRR bidiagonal SVD; detailed-balanced mass-action convergence; k-Hessian regularity; see list","result":"Catalogue of AI-assisted results in the 23 Oct 2026 arXiv announcement beyond those with their own entries","open_since":"","ai_system":["Gemini 4 Argon","Claude Code","Claude Opus 5.5","GPT-6 Astra","ChatGPT","Aristotle","Gemini Pro"],"human_role":"From AI-generated proofs and code under expert direction (Galkowski–Wang, Anshu–Nguyen, Demmel et al., ClawsGO) to checking and editing","verification":{"key":"preprint","label":"Preprint only","text":"Unrefereed arXiv preprints; some with Lean formalizations (2610.30808, 2610.31179)"},"status":"pending","shock":"","verified_by":["preprint"],"kind":"batch"},"body_md":"## What happened\n\nThree results from Friday's announcement have their own entries:\n- Simon Becker and Mengxuan Yang's counterexample to Barry Simon's L² conjecture, whose key mechanism ChatGPT found;\n- the Critical 2D KPZ process, built by eleven probabilists \"through extensive interactions\" with ChatGPT 5.5, 5.6 and 6;\n- Zhentao Li's hand-written, partly re-proved version of OpenAI's proof of Barnette's conjecture.\n\nFour papers were added to existing entries: Lekili and Sheridan's explanation of the sign error that sank OpenAI's three withdrawn Hodge papers, Banks's extension of the Siegel-zero argument to number fields (initial argument by Claude), the Chudnovskys' generalization to CM elliptic periods, and Bellotti–Kerr's Gauss sphere bound, which uses OpenAI's quasi-GRH claim.\n\nThe next tier is in the key facts. Two stand out. Google DeepMind researchers, including Sergei Gukov, ran Gemini (including Gemini 4 Argon) in the Antigravity agent environment on Lehmer's Mahler-measure problem and set new records up to degree 2000. James Demmel's group used Claude Code to finish an MRRR bidiagonal SVD solver, something LAPACK developers had tried and abandoned twice. A small lab's \"ClawsGO Science\" harness, with Claude Opus 5.5 directing and GPT-6 Astra executing, produced a fully Lean-checked convergence proof for detailed-balanced reaction networks on top of OpenAI's persistence formalization.\n\n## Why it matters\n\nThe pattern of the past weeks continues: frontier chatbots are credited with core proof ideas in analysis and spectral theory (k-Hessian, Steklov, Simon's problem), and OpenAI's 6 Oct claims are now being both used (quasi-GRH, persistence) and audited (Hodge, Littlewood, Barnette) by outside experts.","disputed":[{"label":"Verification","text":"Unrefereed arXiv preprints; some with Lean formalizations (2610.30808, 2610.31179)","sources":[]}],"related":[{"id":"2026-10-22-simon-l2-conjecture-disproved-chatgpt","url":"https://postcutoff.com/e/2026-10-22-simon-l2-conjecture-disproved-chatgpt/","date":"2026-10-22","date_precision":"day","short_title":"Barry Simon's L² conjecture (Problem 8 of his 2000 list) disproved","deck":"Becker and Yang build a counterexample largely found with ChatGPT","takeaway":"One of Barry Simon's fifteen problems for Schrödinger operators, open since 2000, is false: a small, smooth potential satisfying his L² condition can leave no continuous spectrum at all. The authors say ChatGPT produced the key mechanism and, 'very much to our surprise', extended it to the full spectrum.","category":"science","category_label":"Science & math","importance":4,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":1,"official":1,"filed":"2026-10-23","updated":"2026-10-23","orgs":["OpenAI"]},{"id":"2026-10-22-critical-2d-kpz-process-chatgpt","url":"https://postcutoff.com/e/2026-10-22-critical-2d-kpz-process-chatgpt/","date":"2026-10-22","date_precision":"day","short_title":"Eleven probabilists construct the Critical 2D KPZ process, a solution of the critical two-dimensional KPZ equation, 'through extensive interactions' with ChatGPT 5.5, 5.6 and 6","deck":null,"takeaway":"A long-sought object of stochastic analysis, a non-trivial solution of the two-dimensional KPZ equation at criticality, was built by a team of leading probabilists who say ChatGPT contributed the tightness argument, the convergence proof and the proof of non-Gaussianity under their direction.","category":"science","category_label":"Science & math","importance":4,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":1,"official":1,"filed":"2026-10-23","updated":"2026-10-23","orgs":["OpenAI"]},{"id":"2026-10-22-ai-assisted-results-october-22-listing","url":"https://postcutoff.com/e/2026-10-22-ai-assisted-results-october-22-listing/","date":"2026-10-22","date_precision":"day","short_title":"AI-assisted results in the 22 Oct 2026 arXiv listing","deck":"The gradient conjecture at infinity with GPT-6 Astra, Claude-built zero-knowledge PCPs, nucleon algorithms with GPT Sol 6.1 and Fable 5.1, Kelly's Condorcet conjectures","takeaway":"Thursday's arXiv announcement brought experts' write-ups of two claims from OpenAI's 6 Oct release (Nagata's conjecture, and a Hochster counterexample surveyed by Anghel), a human exposition of the Kozma–Nitzan proof, and a 3D counterexample to Gale's conjecture found with GPT-6 Astra. This page lists the next tier.","category":"science","category_label":"Science & math","importance":3,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":13,"official":13,"filed":"2026-10-22","updated":"2026-10-22","orgs":["OpenAI","Anthropic","Google DeepMind","various mathematicians"]},{"id":"2026-10-21-barnette-conjecture-openai-proof-zhentao-li-exposition","url":"https://postcutoff.com/e/2026-10-21-barnette-conjecture-openai-proof-zhentao-li-exposition/","date":"2026-10-21","date_precision":"day","short_title":"Barnette's 1969 Hamiltonicity conjecture","deck":"Graph theorist Zhentao Li publishes a digested, partly re-proved version of OpenAI's proof","takeaway":"OpenAI's 6 Oct release claimed Barnette's conjecture (every cubic 3-connected bipartite planar graph is Hamiltonian), with a Lean proof. A combinatorialist has now written the argument out by hand, replacing its exponential-sum step with explicit sign-reversing involutions.","category":"science","category_label":"Science & math","importance":4,"confidence":"medium","status":{"key":"confirmed","labels":["Result confirmed"]},"sources":3,"official":3,"filed":"2026-10-23","updated":"2026-10-23","orgs":["OpenAI"]},{"id":"2026-10-19-lemniscate-irrationality-exponent-chudnovsky-chatgpt","url":"https://postcutoff.com/e/2026-10-19-lemniscate-irrationality-exponent-chudnovsky-chatgpt/","date":"2026-10-19","date_precision":"day","short_title":"Gregory Chudnovsky, with ChatGPT, claims the lemniscate period has irrationality exponent 2, with a Lean 4 proof built on OpenAI's π-exponent library","deck":null,"takeaway":"After OpenAI's claim that π has irrationality exponent 2, a well-known transcendence theorist carries the method to the lemniscate period Ω = 2∫₀¹(1−t⁴)^(−1/2) dt. He says ChatGPT helped with the exposition and the formalization, and he ships a complete Lean 4 proof built on OpenAI's library. Like the π claim, it has not been reviewed independently.","category":"science","category_label":"Science & math","importance":3,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":3,"official":3,"filed":"2026-10-20","updated":"2026-10-23","orgs":["OpenAI"]},{"id":"2026-10-11-landau-siegel-zeros-banks-explicit-account","url":"https://postcutoff.com/e/2026-10-11-landau-siegel-zeros-banks-explicit-account/","date":"2026-10-11","date_precision":"day","short_title":"William Banks writes out OpenAI's Landau–Siegel proof with explicit constants","deck":"(1 − β) log q ≥ 0.003 for every real character, and says he verified it in full","takeaway":"The first detailed human account of OpenAI's claim that Landau–Siegel zeros do not exist gives an explicit, effective constant. Banks used Claude to draft it but says he worked through every line.","category":"science","category_label":"Science & math","importance":4,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":5,"official":3,"filed":"2026-10-14","updated":"2026-10-23","orgs":["OpenAI","Anthropic","University of Missouri"]},{"id":"2026-10-06-hodge-conjecture-cm-abelian-varieties-openai","url":"https://postcutoff.com/e/2026-10-06-hodge-conjecture-cm-abelian-varieties-openai/","date":"2026-10-06","date_precision":"day","short_title":"OpenAI release claims the rational Hodge conjecture for all CM abelian varieties, which would give the Tate conjecture for abelian varieties over finite fields (no Lean proof)","deck":null,"takeaway":"Family 032 of OpenAI's 6 Oct 2026 math release claims the rational Hodge conjecture for every complex abelian variety with complex multiplication, in every dimension and codimension.","category":"science","category_label":"Science & math","importance":5,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":7,"official":5,"filed":"2026-10-07","updated":"2026-10-23","orgs":["OpenAI"]},{"id":"2026-10-06-quasi-riemann-hypothesis-openai","url":"https://postcutoff.com/e/2026-10-06-quasi-riemann-hypothesis-openai/","date":"2026-10-06","date_precision":"day","short_title":"OpenAI model claims the quasi-Riemann hypothesis","deck":"No zeta or Dirichlet L-function zeros with Re s > 7/8, and no Landau–Siegel zeros (Lean-formalized)","takeaway":"If correct, this is the largest advance on the zeros of ζ since the 19th century, and it would remove the Siegel-zero obstruction that runs through modern analytic number theory.","category":"science","category_label":"Science & math","importance":5,"confidence":"medium","status":{"key":"pending","labels":["Awaiting review"]},"sources":14,"official":10,"filed":"2026-10-07","updated":"2026-10-23","orgs":["OpenAI"]}],"people":[{"id":"jensen-huang","name":"Jensen Huang","url":"https://postcutoff.com/person/jensen-huang/"}],"posts":[],"videos":[],"models":[],"changes":[{"date":"2026-10-23","type":"filed","text":"Created (PDFs of 14 papers read)"}],"provenance":{"agents":[{"model":"Claude Opus 5.5","maker":"Anthropic","tool":"Claude Code"}],"filed":"2026-10-23","run":null,"sources_read":"PDFs of 14 papers read","updated":"2026-10-23","human_review":null,"version":null},"gaps":[{"model_id":"gpt-6-astra","name":"GPT-6 Astra","cutoff":"2026-04","days_after":176,"in_training_data":false},{"model_id":"claude-opus-5-5","name":"Claude Opus 5.5","cutoff":"2026-06","days_after":115,"in_training_data":false},{"model_id":"gemini-4-argon","name":"Gemini 4 Argon","cutoff":"2026-03","days_after":206,"in_training_data":false},{"model_id":"grok-4-7","name":"Grok 4.7","cutoff":"2026-05","days_after":145,"in_training_data":false}],"short_url":null}