← Methodology and sources

Considered but not curated.

Sources we considered, with review status and reasons.

Counts and coverage

3070 recorded entries · 652 awaiting detailed review · 584 excluded · 672 on hold · 3 publisher withdrawals · 1159 related to curated records.

  • Includes recorded What AI Found, VibeMathed, OpenAI, and news-led primary-source entries, plus publisher withdrawals.
  • Screening is metadata review, not a proof check. Registry flags are attributed reasons.
  • Entries overlap; OpenAI entries group related papers. Counts are not distinct discoveries.
  • Dates refer to saved decisions. Publication links use the current catalog.
  • Recorded searches do not cover all research.

Individual OpenAI manuscripts · Review criteria

Suggest a missing contribution or correction.

See omissions and decisions reviewed against public discussion.

Subject

Entries without a recorded subject appear only under All subjects. Coverage totals describe all subjects.

Screening decisions

1911 matching entries · Page 33 of 39

Paul-Lez/hadamard-668-comparator

On hold after review

The project credits Claude with the mathematical order-668 construction, but its cited original announcement and sign data were inaccessible.

Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z

rkirov/jordan_pick

Excluded

The registered Pick, Jordan and Radó statements are classical and the source lists existing proof routes. Claude generated the Lean text under human statement selection and direction; no distinct new mathematical result or proof idea is identified.

Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z

kim-em/erdos-unit-distance-comparator

Excluded

The selected unit-distance argument is a pre-existing one-page proof attributed to L. Alpöge. Claude and other agents formalized and audited that argument; their proof work does not establish an AI-origin mathematical idea.

Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z

AI-assisted realization of the Mathieu group M₂₃ over the rationals

Excluded

The primary AI-use section assigns key strategy and conceptual analysis to humans and describes AI acceleration of literature, code and checks. No central model-origin mathematical construction is identified.

Screening recorded: 2026-10-11 · Decision reviewed: 2026-10-11

Improved Sidorenko bound for hypergraph Turán densities

On hold after review

The cited formalization of the Chen–Hou–Liu bound discloses AI migration and extremal-limit work, and the original paper discloses AI discussion of proof strategies. Neither source allocates the retained central strategy for Theorem 1.1, so excluding the original AI claim is premature.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-18T00:00:00.000Z

Pure infinitely self-modifying code: a Lean formalization with minimal errata

On hold after review

The main constructions are credited to Morse (2018) and Dolan (2013), but the repository also reports new corrections and errata. Their origin and whether they leave a central AI mathematical contribution are unresolved.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-18T00:00:00.000Z

The Hajnal–Szemerédi theorem on equitable colourings

Excluded

The exact equitable-colouring theorem is Hajnal–Szemerédi's 1970 result; the source follows Kierstead–Kostochka's 2008 proof. Its authorship section assigns result and proof-route choice to the human author and Lean code and specified lemma proofs to AI.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-18T00:00:00.000Z

Erdős 1105: anti-Ramsey numbers for cycles and paths

On hold after review

The cycle and path formulas themselves were proved in 2005 and 2021, but this source also claims an independent formal proof, extra explicit cycle bounds and a finite host-window/path-kernel route. Its metadata says AI assisted proof development without allocating those proof ideas. The known headline formulas alone do not exclude a distinct AI-origin proof contribution.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-18T00:00:00.000Z

Perfect surjections and paracompactness

Excluded

The source expressly says its perfect-map paracompactness claims follow Munkres and Sakai and claim no new mathematics. Codex authored Lean implementation, packaging and tests, including supporting variants of those classical results.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-18T00:00:00.000Z

Expected syzygies and Fröberg’s conjecture through degree 2d

On hold after review

The cited artifact proves Vojdanovski's Theorem 1.1 and labels the work a formalization, while its metadata discloses AI-assisted Lean proof development. The cited original paper is present as a PDF in the repository, but its research-origin disclosure could not be read through the available source view; the formalization metadata does not establish who supplied the original theorem or central proof idea.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-18T00:00:00.000Z

Hilbert functions of chopped ideals of general plane points

On hold after review

The cited registry artifact formalizes Theorem 1.1 and Corollary 5.1 with AI-assisted Lean development, but the original Hexagon paper is a new plane-case result and marks its text as primarily AI-generated. Text generation does not establish mathematical origin; the source does not allocate the Hilbert–Burch/Steiner-bundle idea. The original result must be assessed before excluding the formalization as only derivative work.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-18T00:00:00.000Z

Formalization of Carleson's theorem via the Lacey-Thiele approach

Excluded

Roos specified statements and definitions and supplied the Lacey–Thiele source argument. Automated Lean proof translation alone is outside the collection.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-14T15:33:08.665Z

Finitely generated positive cones in F_n × Z

Excluded

The precise even-rank positive-cone classification is Theorem 1.1 and Corollary 1.2 of Hang Lu Su's cited paper. The cited repository credits AI agents with blueprint and Lean proof development that follows the paper's subgroup-tower construction.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-18T00:00:00.000Z

Dowker's countable paracompactness, product normality and strict insertion characterization

Excluded

The selected three-way countable-paracompactness characterization and companion results are explicitly sourced to Dowker's 1951 Theorems 2 and 4 and Lemma 3. The metadata credits Codex with Lean implementation and review and says no mathematical novelty is claimed.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-18T00:00:00.000Z

Aging in Spherical Spin Glass Dynamics

On hold after review

The original project credits GPT-6 agents with proofs and corrections to assumptions and proof routes, while the same-titled paper has human authors; the surviving AI-origin theorem is not isolated.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-18T00:00:00.000Z

Generalized Markoff strong approximation

On hold after review

The endpoint is an explicit-cutoff adaptation of Kingsbury–Neuschotz’s theorem; metadata credits human mathematical design and AI implementation, leaving any new AI mathematical idea unclear.

Screening recorded: 2026-10-13 · Decision reviewed: 2026-10-18T00:00:00.000Z

CosmoAgent: AI Agent for Theoretical Cosmology

Excluded

AI agents recovered known quadratic-quintessence models; the authors report only a modest nominal fit gain and do not establish a new physical model or observational preference.

Screening recorded: 2026-10-14 · Decision reviewed: 2026-10-18T00:00:00.000Z

Improved Sidorenko bound

On hold after review

The cited Lean submission formalizes Chen–Hou–Liu's finite embedding argument, Turán-density limit and Theorem 1.1; its AI work includes migration and the extremal-limit extension. The original paper also discloses generative AI discussion of proof strategies, without identifying whether an AI-supplied strategy is central to the new bound. The formalization alone cannot settle the original result's AI attribution.

Screening recorded: 2026-10-14 · Decision reviewed: 2026-10-18T00:00:00.000Z

Advancing mathematics research with AI-driven formal proof search

On hold after review

The paper reports an AI proof-search system and aggregate nine-Erdős/44-OEIS results; the entry does not isolate one exact mathematical claim.

Screening recorded: 2026-10-14 · Decision reviewed: 2026-10-18T00:00:00.000Z

Redhill formalization of Ramaekers’s disproof

Excluded

Original author explicitly reports no LLM assistance. Do not count the human formalization as a new AI discovery; comparison with the separate AI-assisted n=4 extension remains a possible assessment lead.

Screening recorded: 2026-10-14 · Decision reviewed: 2026-10-14T07:28:55.856Z

Nagata–Smirnov metrization formalization

Excluded

Registry explicitly describes classical mathematics without new-mathematics or first-formalization priority. No qualifying new scoped AI research result established.

Screening recorded: 2026-10-14 · Decision reviewed: 2026-10-14T07:28:55.856Z

The missing UV sky map

Excluded

Author describes observational survey calibration, inpainting/prediction and an educational map; no qualifying new theoretical-physics derivation or model validation established. Unobserved regions remain predictions.

Screening recorded: 2026-10-14 · Decision reviewed: 2026-10-14T07:28:55.856Z

Cremer reports: selecting the seventh of sixteen in 28 comparisons

On hold after review

Coding assistants implemented searches and drafted proofs, but no retained selection-program discovery or essential mathematical idea is individually assigned to them.

Screening recorded: 2026-10-14 · Decision reviewed: 2026-10-14T15:33:08.665Z

AI-assisted Jacobian counterexample in dimension three

On hold after review

Resolve the competing Alpöge-announced-example and Fable-origin accounts for this exact polynomial map before assigning discovery credit.

Screening recorded: 2026-10-14 · Decision reviewed: 2026-10-14T15:33:08.665Z

Akhmerov reports: Josephson free-energy bounds beyond short junctions

On hold after review

The account documents human physical judgments and frequent corrections; the exact central model-origin bound or derivation is not separated sufficiently from directed calculation.

Screening recorded: 2026-10-15 · Decision reviewed: 2026-10-15T07:20:56.963Z

TheoPhysEval

Excluded

Primary manuscript followed from current Reddit/HN discussion. A research-problem-solving benchmark does not by itself document a new scoped theoretical-physics discovery; do not publish benchmark success as a physical result.

Screening recorded: 2026-10-15 · Decision reviewed: 2026-10-15T07:20:56.963Z

First Proof third-round benchmark

Excluded

Benchmark report gives third-round performance rather than a particular new theorem with documented AI-origin proof.

Screening recorded: 2026-10-15 · Decision reviewed: 2026-10-18T00:00:00.000Z

Predicting chatbot tipping

Excluded

Human-developed mathematical analysis of chatbot behavior; the report does not establish a substantive AI role in discovering a new mathematics or theoretical-physics result.

Screening recorded: 2026-10-15 · Decision reviewed: 2026-10-15T07:20:56.963Z

Ternary polynomial relations and cusp-form periods

On hold after review

Appendix E describes joint research and human mathematical judgments but does not identify which retained central construction or proof idea originated with AxiomProver.

Screening recorded: 2026-10-15 · Decision reviewed: 2026-10-16T07:31:19.230Z

AI-assisted equality of quantum Jellium and uniform-electron-gas energies

On hold after review

Proof development is disclosed without allocating the retained central quantum comparison or neutralization idea to AI. This is an attribution hold, not a failed proof check.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-16T07:32:17.125Z

Eshelby inclusion stability

On hold after review

The source does not identify a theorem-specific AI idea retained in the final proof.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

Isaac Condition TU is false

On hold after review

The paper gives two Lean-verified disproofs of Condition (TU), but its accessible original text does not document who supplied the counterexamples or proof ideas.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

Discovery metadata attribution: What AI Found, CC BY 4.0 · VibeMathed contributors, editorial layer CC BY 4.0. AIProofWatch supplies the screening decisions.