← 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 18 of 39

Courtade and Kumar's Coordinate-wise Mutual Information Question

On hold after review

The paper states the coordinatewise information theorem, but the accessible original manuscript does not document AI's role; central AI origin cannot be established from the queued link.

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

Erdős Problem #659

On hold after review

The directory reports a Lean-verified solution of Erdős #659 and credits an AI-contributions wiki, but its sole listed primary problem record was inaccessible and gives no reviewable first-person provenance here.

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

Erdős Problem #401

On hold after review

The cited Erdős problem page was unavailable, leaving the original AI and proof account unverified.

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

Erdős Problem #205

On hold after review

The Erdős problem record was inaccessible (403); the aggregator reports an AI-discovered Lean proof but does not establish the original discovery account.

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

Erdős Problem #397

On hold after review

The community record claims an AI-found Lean-checked counterexample to #397, but the original Erdős page returned 403 and no primary artifact establishes which model supplied it.

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

Erdős Problem #729

On hold after review

A secondary index calls #729 AI-discovered and Lean-verified, but Tao’s accessible AI-contributions record shows only a related-results entry for #729; the original Erdős page was unavailable. The source and scope of the claimed resolution remain unclear.

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

Erdős Problem #871

On hold after review

The original Problem 871 page could not be read here; the registry’s model attribution is not a substitute for the original proof disclosure.

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

Large Hypercube Intervals in Bruhat Order

On hold after review

Retain the generated permutations/hypercube examples. Human recognition of digitwise structure and the general theorem are later work.

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

Erdős Problem #897

Excluded

The AI-generated construction independently rediscovered a result already established by an earlier human counterexample.

Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-19T00:00:00.000Z

Erdős Problem #333

On hold after review

The original Erdős problem page returned 403 and no readable primary solution or AI disclosure was available for this entry.

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

Erdős-Herzog-Piranian Distance Products: Improved Lower Bound

On hold after review

The paper thanks ChatGPT for discussion, while describing the diameter deformation and interpolation as the author’s construction. The content of the model discussion is not specified.

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

Erdős Problem #1026: Monotonic Subsequence Sums

On hold after review

Tao’s first-person history says Aristotle reproved a result already in the literature, AlphaEvolve found small examples, and the final exact formula followed human construction and earlier papers. A new central AI mathematical contribution to this specific monotonic-subsequence claim is not yet established.

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

The Lonely Runner Conjecture for Nine and Ten Runners

Excluded

The paper credits GPT-5 with C++ code generation, especially low-level optimization; the sieve and mathematical approach are presented as the author's.

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

Sum-Difference Exponents for Boundedly Many Slopes

On hold after review

Tao says AI-assisted experiments suggested some results, while all arguments were human-generated. The disclosure does not identify whether a retained result or construction came from AI.

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

Erdős Problem #707: Sidon Sets and Perfect Difference Sets

Excluded

The authors attribute the counterexample and decisive argument to human work; ChatGPT wrote the Lean formalization after the proof was known. They report that it independently proved a stated Proposition 20 during formalization, but that proposition is a prior Hall result, not the new counterexample. No central new mathematical idea is credited to AI.

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

Cohen's 22 Conjectures on Cyclic Numbers

On hold after review

The original arXiv record is withdrawn; the author says AI-generated proofs included incorrect ones without identifying which of the 22 claims survive.

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

Vertex-Minimal Paper Tori

On hold after review

Schwartz credits ChatGPT with independently finding an expression for a denominator used near the end of the proof, amid broader discussion and formatting help. Its importance to the main result is unclear.

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

The Ewens sampling formula and its generative urn

Excluded

The pinned source formalizes established human mathematics or an existing algorithm. No distinct central-AI mathematical discovery is identified.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

An upper bound on the denominators of solutions of the two-locus sampling recursion

Awaiting detailed review

The two-locus recursion denominator bound needs a contribution-specific AI-origin account and comparison with the established sampling recursion; generic repository-wide model credit is insufficient.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

A prespecified betting test of panmixia against a two-deme history: size and power

Awaiting detailed review

The prespecified panmixia betting test needs exact mathematical AI attribution, size/power hypotheses and the prior statistical baseline; repository-wide model credit alone does not establish them.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Affine profile reduction for fractional triangle packings in split graphs

Awaiting detailed review

The fractional split-graph packing bound sharpens the linear term, with a formalized finite LP reduction. The source describes proofs from the author’s earlier article; origin of the retained new reduction remains to be allocated.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

The Moser–Tardos theorem (algorithmic Lovász Local Lemma)

Excluded

The pinned source formalizes established human mathematics or an existing algorithm. No distinct central-AI mathematical discovery is identified.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

The Corrádi–Hajnal theorem on vertex-disjoint cycles

Excluded

The pinned source formalizes established human mathematics or an existing algorithm. No distinct central-AI mathematical discovery is identified.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Linear-error clique partitions of split graphs

Awaiting detailed review

The split-graph clique-partition bound reuses the author’s earlier Lean freeze. Separate central AI origin of the mathematical bound from porting and package verification.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Formalizing Delcourt–Postle’s refined absorption in Lean

Excluded

The pinned source formalizes established human mathematics or an existing algorithm. No distinct central-AI mathematical discovery is identified.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Self-similar counterexamples to three conjectures of Lorentz

Awaiting detailed review

The pinned disclosure says the owner supplied the mathematical construction and its earlier automation history was not supplied. Codex audits, optimization and formalization do not establish central AI origin of the retained Lorentz counterexamples.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Furstenberg weak mixing and finite diagonal powers

Excluded

The pinned source formalizes established human mathematics or an existing algorithm. No distinct central-AI mathematical discovery is identified.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Generic ergodicity and non-smoothness of E₀

Excluded

The pinned source formalizes established human mathematics or an existing algorithm. No distinct central-AI mathematical discovery is identified.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

A proof of the spectral isometry conjecture for C*-algebras

Awaiting detailed review

The spectral-isometry disclosure identifies AI assistance with formalization, verification and review, while the manuscript was human-written. Central AI origin of a retained new mathematical argument is not established by this source.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Baire-measurable regularization on comeagre G-delta subspaces

Excluded

The pinned source formalizes established human mathematics or an existing algorithm. No distinct central-AI mathematical discovery is identified.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Zero-Sum Quartet Incidence and Sharp Maximal-Independent-Set Witnesses on Eight Vertices

Awaiting detailed review

The eight-vertex probability law and sharp spider characterization have reported complete mechanical checks. The source leaves originality and priority unresolved, and the retained central AI contribution still needs an exact provenance assessment.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Natural cohomology of general Steiner bundles

Awaiting detailed review

The Steiner-bundle project reports natural cohomology in all twists and a geometric Lean endpoint. Its README does not allocate a retained central mathematical idea to AI.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Thomassen: planar graphs of girth at least five are 3-choosable

Excluded

The pinned source formalizes established human mathematics or an existing algorithm. No distinct central-AI mathematical discovery is identified.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Nowhere-zero 3-flows in 6-edge-connected graphs

Excluded

The pinned source formalizes established human mathematics or an existing algorithm. No distinct central-AI mathematical discovery is identified.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Category Hewitt–Savage zero-one law for infinite Baire products

Excluded

The pinned source formalizes established human mathematics or an existing algorithm. No distinct central-AI mathematical discovery is identified.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Strictly Convex Steklov-Isospectral Plane Domains

Awaiting detailed review

The updated Steklov-isospectral project preserves the earlier pending lead. Exact central AI attribution, comparison with earlier domain constructions and statement correspondence remain unresolved.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

Harmonic representatives and period separation for computational-path presentations

Awaiting detailed review

A discrete Hodge theorem is proved for a finite primitive-step computational-path presentation, with Codex proofs. The relation to established finite cochain/Hodge theory and the precise novel contribution remain unresolved.

Screening recorded: 2026-10-29 · Decision reviewed: 2026-10-29T07:22:18.411Z

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