← 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 14 of 39

The Liu-Morin Extension Conjecture

On hold after review

The original extension-conjecture paper reports a mathematical result but the available HTML has no AI-origin disclosure, so the model’s role cannot be determined.

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

Erdős Problem #593

On hold after review

The Erdős #593 original problem record returned 403, so the claimed solution and its AI origin could not be checked.

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

WOWII Conjecture 72: Two induced trees pin down tree($ G $)

On hold after review

The community record says GPT-5.6 Sol chose the problem and produced a short two-lemma proof, but the sole cited original X post was not available here and the canonical conjecture wording has two readings.

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

The Separable Jacobian Conjecture in Characteristic 2

On hold after review

The dimension-two paper derives its map from an earlier ChatGPT-associated three-variable construction, but its provenance does not identify who found the plane reduction or new proof.

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

Erdős Problem #1177

On hold after review

The original Erdős problem page returned 403, leaving no readable primary proof or AI disclosure for this entry.

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

Dinitz-Garg-Goemans Conjecture

On hold after review

The registry describes an AI-found finite counterexample, but the original X announcement and shared chat could not be read here; central AI origin and exact certificate remain unconfirmed.

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

Written on the Wall II, Graph Conjecture 103

On hold after review

The cited formal-conjectures pull request could not be read; a formalized conjecture alone would not establish either a proof or central AI-origin mathematical work.

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

$e$-Log-Concavity of Chromatic Quasisymmetric Functions

On hold after review

The disclosure lists ChatGPT/Codex exploration and verification code among several roles, without identifying a central AI-origin counterexample or proof idea.

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

Nikolov-Ullman Pure-DP Query Release Conjecture

Excluded

Fitzsimons attributes Codex and Aristotle to Lean formalization and proof search and Codex to editorial suggestions. The paper does not credit either with the transcript-envelope mechanism or the pure-DP query-release theorem.

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

Graffiti Conjecture 284

On hold after review

The community entry credits a Grok agent with a Hoffman–Singleton counterexample, but its discussion alleges an earlier GPT-assisted solution with a separate Lean repository; the original X certificate could not be read here.

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

The Polynomial-Time Low-Degree Conjecture

On hold after review

The source does not distinguish a retained central ChatGPT idea from assistance with the author’s code-inspired construction.

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

Levit–Mandrescu Unimodality Conjecture

On hold after review

The announcement gives an exact graph and thanks two models and human reviewers, but does not say who found the counterexample or designed the search.

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

Spectral Edge of the Quartic SYK Model

On hold after review

The manuscript says GPT-5.6 helped develop earlier operator-algebra arguments, but the author rewrote and streamlined that section. It does not identify which, if any, central AI idea survives in the final spectral-edge proof.

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

Boots-Royle/Cao-Vince Conjecture on Planar Spectral Radius

Excluded

The disclosure expressly credits the core proof ideas and overall strategy to the human authors. ChatGPT generated search code and assisted computations, symbolic derivations, and prose.

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

Johnson-Freyd-Ostrik-Yu Question on Categorical Cocycles

On hold after review

The paper acknowledges ChatGPT collaboration but does not identify a retained central model-origin step in the categorical cocycle result.

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

Written on the Wall II, Graph Conjecture 143

On hold after review

The source reports GPT use for proof preparation but does not identify which central two-leaf argument originated with the model.

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

Batyrev's Stringy Hodge Number Conjecture

On hold after review

The authors report ChatGPT assistance with the counterexample but do not identify which central construction or calculation originated with the model.

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

Erdős Problem #469

Excluded

The author’s AI-use record says Zachary J. Lewis developed the central ideas, proof strategy, and arguments; GPT aided exploration, checks, exposition, and Lean work.

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

Full-RSB in the Sherrington–Kirkpatrick spin glass

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

Universal Multiplicative FDR Bound for Benjamini-Hochberg

On hold after review

The current disclosure says model input was indispensable but does not identify a retained central model-supplied construction or sharp-constant argument.

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

Erdős Problem #424

On hold after review

The Erdős proof-claim forum returned 403. The Lean file establishes an artifact but does not by itself identify who found the mathematical argument or whether AI originated it.

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

Jacobian Conjecture

Excluded

Gao’s title-page disclosure says the main idea and framework are his and Claude Fable 5 assisted proofs and writing. The abstract also credits Alpöge’s prior dimension-three counterexample; no central AI-origin contribution is identified for this paper.

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

Feige's Hypergraph Moore-Bound Conjecture

On hold after review

The original hypergraph Moore-bound paper establishes the theorem, but a primary disclosure of central AI work was not located in the accessible manuscript.

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

Fulek's Question on the Extremal Function of $L_3$

On hold after review

The acknowledgments report Codex and Claude Code for proof exploration and criticism, but do not assign the linear L3 bound or a retained decisive argument to either model.

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

Erdos-Graham Question on Averages of Unit Fractions

On hold after review

Sawin credits ChatGPT with a pattern observation and change of variables used in the proof, while he describes the restriction and adapted counting strategy as his own. Whether the model’s change of variables is central enough for inclusion needs a closer proof comparison.

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

Gao-Huo-Ma Question on Cycle Lengths in Critical Graphs

On hold after review

The authors credit ChatGPT with searching and refining the construction but do not identify a retained model-origin choice after the human-supplied starting idea.

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

The Order of Long Rainbow Arithmetic Progressions

On hold after review

The paper says Codex and Claude Code assisted proof exploration and criticism for long rainbow arithmetic progression bounds, but gives no model-origin lemma or construction.

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

The Weak Simplex Conjecture

On hold after review

The paper reports broad model help in exploration and proof development but does not identify a central retained AI idea for the final proof.

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

Quantum Memory Advantage for Process Tomography

On hold after review

The tomography authors thank ChatGPT for discussing and refining proof ideas and presentation, while assigning responsibility for results to themselves; the central lower-bound construction is not attributed to AI.

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

Cutoff for Kac's Walk on the Sphere

On hold after review

The Kac-walk paper reports a cutoff theorem, but the accessible original text does not identify central AI-origin work.

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

A Universal Leading-Residue Formula for Witten Zeta Functions

On hold after review

The source says ChatGPT worked under the author’s direction but does not identify which formula or derivation originated with the model.

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

Brualdi's Question on Hamiltonicity of Interchange Graphs

On hold after review

The disclosure says AI-assisted tools developed search and verification programs and a Lean formalization under author direction, but does not say whether AI originated the central Hamiltonicity argument.

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

Erdős Problem #336

On hold after review

The directory lists an AI-related resolution of Erdős #336, but the cited problem record could not be accessed, leaving the original proof and model-origin role unconfirmed.

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

The Classical Smith-Ward Problem

On hold after review

The disclosure credits ChatGPT with literature search and accelerating a search, but not with the retained central operator-system construction.

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

Erdős Problem #538

On hold after review

The queue points to Erdős problem 538, but its linked problem record and a specific AI-origin proof were not available in the reviewed source evidence.

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

Erdős Problem #267

On hold after review

The directory links Erdős #267 to an AI-related solution, but its sole original problem record could not be accessed and no attributable central model step could be established.

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

Erdős Problem #1188

On hold after review

The original problem page describes covering-system estimates but supplies no AI-origin proof or contribution for this entry.

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

Erdős Problem #662

On hold after review

The primary note argues the printed Erdős 662 wording is inconsistent and reconstructs a threshold statement related to an already known two-smallest-distances theorem. Its model provenance and exact new result are not documented in the note.

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

Erdős Problem #1189

On hold after review

The original Erdős record could not be read, so the precise result and its AI disclosure remain unknown.

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

Erdős Problem #254

On hold after review

The directory lists an AI-related result for Erdős #254, but the sole linked problem record was inaccessible here; neither the original argument nor a central AI disclosure could be checked.

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

Erdős Problem #394

On hold after review

The original Erdős problem record and the registry page could not be retrieved; claim scope and AI origin remain unverified.

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

Erdős Problem #489

On hold after review

The accessible primary note proves an extended-limit theorem and finiteness for subclasses, not the full finite-limit question; it contains no attributable central AI-origin account.

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

Erdős Problem #709

On hold after review

The original Erdős #709 record could not be retrieved, leaving the precise solution and central AI work unverified.

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

Erdős Problem #450

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 #1186

On hold after review

The Erdős page and linked solution archive were not readable here; the cited work appears to address partial certified bounds, so the exact claim and AI-origin step remain unresolved.

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

Erdős Problem #959

On hold after review

The original Erdős problem page returned 403 and no primary AI/proof disclosure was available for this entry.

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

Optimal Chain Density and Space-Time Tradeoffs for the TSP

On hold after review

The authors say ChatGPT helped verify and reformulate arguments and explore the structure across technical sections, but do not identify a specific model-originated chain-density theorem or proof idea.

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

Erdős Problem #584

On hold after review

The cited Erdős problem page was unavailable, so the original claim and AI role could not be checked.

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

Ross's Two Conjectures on Nondeficient Numbers

On hold after review

The author reports extensive GPT-5.5 Pro exploration and proof development but also substantial correction; no specific retained model-origin idea is identified.

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.