← 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 11 of 39

The Laplacian $S_{n,n}$ conjecture

On hold after review

The original Laplacian paper presents the remaining cases and a computer-assisted proof, but gives no documented central AI contribution.

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

The Mahler conjecture for general (non-symmetric) convex bodies

Awaiting detailed review

Metadata screened. Requires original-source review of the specific contribution, baseline and central AI work, with separate AI involvement, technical verification, human understanding and importance ratings before publication.

Screening recorded: 2026-10-27

The symmetric Mahler conjecture

Awaiting detailed review

Metadata screened. Requires original-source review of the specific contribution, baseline and central AI work, with separate AI involvement, technical verification, human understanding and importance ratings before publication.

Screening recorded: 2026-10-27

Graham's spherical conjecture: every finite spherical set is Ramsey

Awaiting detailed review

Metadata screened. Requires original-source review of the specific contribution, baseline and central AI work, with separate AI involvement, technical verification, human understanding and importance ratings before publication.

Screening recorded: 2026-10-27

Katsumasa–Roff–Yoshinaga conjecture on Hausdorff continuity of magnitude

On hold after review

The claimed proof is in a Zenodo manuscript that was not retrievable. The secondary record reports model collaboration on several proof components, but its exact attribution and theorem need primary review.

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

The Bilu-Linial signing conjecture for regular graphs

On hold after review

Xu says ChatGPT assisted development of both the counterexample and proof strategy, but does not say who supplied the decisive graph or strategy; central AI origin remains unclear.

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

Mahler's $Z$-number problem in its generalized form

On hold after review

The linked confinement-certificate project requires a source-level comparison with prior art; no retained AI-originated resolution of Mahler’s generalized problem is yet established.

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

The Tate conjecture for abelian varieties over finite fields

Awaiting detailed review

Metadata screened. Requires original-source review of the specific contribution, baseline and central AI work, with separate AI involvement, technical verification, human understanding and importance ratings before publication.

Screening recorded: 2026-10-27

Nontriviality of number-restricted arithmetic over subDMQ

On hold after review

The secondary record quotes an AI author line and model-produced proof, but the original Simonelli PDF was inaccessible; the statement, proof certificates and human checking must be read directly.

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

The Hodge conjecture for CM abelian varieties

Awaiting detailed review

Metadata screened. Requires original-source review of the specific contribution, baseline and central AI work, with separate AI involvement, technical verification, human understanding and importance ratings before publication.

Screening recorded: 2026-10-27

Grothendieck's Hodge standard conjecture for abelian varieties

Awaiting detailed review

Metadata screened. Requires original-source review of the specific contribution, baseline and central AI work, with separate AI involvement, technical verification, human understanding and importance ratings before publication.

Screening recorded: 2026-10-27

The Hodge conjecture for products of K3 surfaces

Awaiting detailed review

Registry records a withdrawal, dispute, or claim issue. Hold publication pending review of the primary notice and exact affected scope.

Screening recorded: 2026-10-27

The Kuga-Satake Hodge conjecture for K3 surfaces

Awaiting detailed review

Registry records a withdrawal, dispute, or claim issue. Hold publication pending review of the primary notice and exact affected scope.

Screening recorded: 2026-10-27

Minimum-Rank and Mortality Bounds for Finite Real Matrix Monoids

On hold after review

The named revision of the original mortality repository was not readable here; the registry account of AI-authored bounds needs confirmation from its own manuscript or provenance.

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

Erdős Problem #1221

On hold after review

The original Erdős problem and proof-claims discussion were inaccessible, so the claim, dispute, and central AI work cannot be assessed from the source.

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

Finite-time blowup for the IPM equation with a uniformly space-time smooth force

Excluded

The original paper says Claude and Codex implemented the authors’ adaptation ideas, handled bookkeeping, drafted text, and formalized the proof. It credits the core mathematical adaptation to the human authors, so no central AI-origin contribution is documented.

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

Reciprocal Fermat Constant is Nonnormal

On hold after review

The reported model proof may qualify, but the released theorem and formal check could not yet be matched to the claimed binary and generalized results.

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

Reciprocal-triple-free sets: finite maxima through 734

On hold after review

The linked repository tree and CI run could not be read here, so neither the finite maxima nor central AI origin can be checked from the original artifacts.

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

The Erdos-Borwein Constant is 2-Dense

On hold after review

The primary paper and conditional Lean theorem are clear, but the current VibeMathed record does not document who supplied the central mathematical idea; model naming alone is insufficient for inclusion.

Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18

Koizumi–Liu Eventual Sign Alternation Conjecture

On hold after review

The paper reports AI help with arguments and computations but does not attribute the eventual-sign-alternation counterexample or its key construction to a model.

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

A 44-vertex triangulation of $\mathbb{RP}^{6}$

On hold after review

Kolosov’s repository documents an exact certificate and says ChatGPT assisted exploration, programming and manuscript preparation, but does not establish who found the retained 44-vertex object.

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

Bollobás–Nikiforov conjecture

On hold after review

The source documents AI ideation and Lean proof work, but does not identify whether AI supplied the central weighted-spectral proof idea.

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

Cycle-residue stability at minimum degree five

On hold after review

The Zenodo originals were not readable here; an index summarizes a stronger stability classification but has no attached process record establishing model-origin work.

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

A new bound for small gaps between primes: $H_1 \le 212$

Excluded

The Axiom Math paper credits Stadlmann with the analytic ideas and describes AxiomProver as autonomously formalizing the deduction from natural-language specifications while major analytic and variational inputs remain hypotheses. That documented AI role is proof formalization, not a central new mathematical idea for H1 ≤ 212.

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

Logarithmic basis number of graphs

On hold after review

The new paper says its proof was found with GPT-5.6 Sol but does not isolate the model-originated step or distinguish it from the earlier related human papers.

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

Common Neighbour Conjectures for Saxl Graphs

On hold after review

The paper proves infinite Saxl-graph counterexample families, but its accessible primary text does not document a central AI role.

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

Bounded prime gaps: $H_1 \le 236$

On hold after review

The public announcement says H1 ≤ 236 was obtained “with the help of AI” from Stadlmann’s work, but provides no manuscript or division of mathematical labor.

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

Measures on Partial Orders

On hold after review

The original paper on measures on partial orders has no identifiable AI-origin disclosure in the available HTML, so the mathematical role of any model remains unresolved.

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

Pebody's even cyclic four-deck reconstruction conjecture

On hold after review

The repository disclosure lists AI exploration, drafting and checks under author direction, without attributing an individual central proof step to a model.

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

Erdős matching conjecture: the four-uniform case

Excluded

The original paper says GPT-5.5 was used solely to generate code for computer-assisted Section 4; the mathematical ideas and proofs were developed independently by the authors from earlier human work.

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

A complex structure on $S^2\times S^4$

On hold after review

The model supplied an incomplete starting candidate; the source does not establish a retained central AI-origin idea after the authors’ essential construction and repair.

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

A Rank-$31$ Record for an Elliptic Curve over $\mathbb{Q}$

On hold after review

The specialist primary curve records credit Alpöge and Howell; the model’s precise retained construction or search idea is supplied only broadly by secondary reporting.

Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18

Transcendence in the affine case of Erdős Problem 270

On hold after review

The cited Erdős forum thread was inaccessible and the older arXiv paper is a baseline; the newer affine-case proof and AI-origin disclosure need inspection.

Screening recorded: 2026-10-17 · 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.