← 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 15 of 39

Erdős Problem #130

On hold after review

The linked Erdős #130 page could not be read here, and this assignment supplies no original proof or AI-origin account. Its problem statement and any model contribution remain unestablished.

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

The Coxeter Code Minimum Distance Conjecture

Excluded

The authors say model use was limited to brainstorming, discussing possible approaches and preliminary checking; they independently wrote the mathematical arguments and identify no retained central AI idea.

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

Counting Fixed Cycles in Graphs with Bounded Circumference

On hold after review

The authors disclose Codex assistance with readability, selected calculations, exploration of the s=3 case and reorganization of a lemma, but do not identify a retained central AI-origin result for the bounded-circumference cycle count.

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

Worst-Case Complexity of Shellsort with Tokuda's Gap Sequence

On hold after review

The author credits ChatGPT with the initial proof framework of Lemma 2, an auxiliary approximation lemma. Whether this supplied a central idea for the Tokuda lower bound is unclear.

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

Cycle Double Cover Conjecture

On hold after review

Kintali’s cycle-double-cover manuscript claims a proof, and a separate OpenAI Lean repository discusses formalization, but the manuscript does not document a central AI contribution. The relation between these artifacts and the claimed proof remains unclear.

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

Purdy's Inequality for Hyperplane Arrangements

On hold after review

The authors credit ChatGPT with programs used for symbolic computation in the counterexample search. The disclosure does not say whether those programs found the retained configuration or merely checked a human candidate.

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

The Quantum Wasserstein Semidistance Is Not a Distance

On hold after review

The accessible original comment gives an analytic counterexample but no specific AI provenance for its construction or proof.

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

K-Polystable Toric Fano Varieties With Small Alpha Invariants

On hold after review

The original toric-Fano preprint was readable, but it did not identify a central AI contribution; absence of a disclosure is insufficient to exclude the registry claim. The registry page itself was inaccessible.

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

The Signed BAR Uniqueness Problem

On hold after review

This listing describes the same theorem as the signed-bar record, whose central AI attribution remains unresolved.

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

The Tree Product Conjecture

On hold after review

The author reports GPT-5.6 Sol helped explore the subdivision scale, but does not specify whether it found the retained central construction or only aided parameter choice.

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

Signed BAR Conjecture for Reflected Brownian Motion

On hold after review

The source describes extensive model assistance but does not isolate a retained model-origin central proof step in the final theorem.

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

Erdős Problem #1038

On hold after review

The linked problem record was not readable here, and several distinct proposed resolutions appear in the source trail; the exact AI-origin claim represented by this entry is unresolved.

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

Erdős Problem #321

On hold after review

The secondary record credits GPT-5.6 Sol with a bound, but the original Erdős problem record could not be read to confirm the statement and attribution.

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

Erdős Problem #119

On hold after review

The cited Erdős problem page was unavailable, leaving the claimed solution and AI origin unverified from the original source.

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

Erdős Problem #123

On hold after review

The registry attributes a solution to GPT-5.6, but its only linked original problem record was unreadable and no original proof or provenance disclosure was located.

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

Erdős Problem #320

On hold after review

The original Erdős #320 page could not be read. A secondary index says GPT-5.6 Sol supplied a matching upper bound, but no first-person proof or disclosure was available to establish the precise contribution.

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

Erdős Problem #793

On hold after review

The community entry claims GPT-5.6 Sol proved an asymptotic formula for F(n) and that Lean checked it; the original #793 record was inaccessible, leaving the exact theorem, proof and provenance unconfirmed.

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

Bertoin-Yor Moment Determinacy Conjecture

On hold after review

The decisive construction arose in discussions with ChatGPT, but the source does not identify whether the model or author proposed it.

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

Seymour's Second Neighborhood Conjecture

On hold after review

The authors credit ChatGPT with assistance developing CP-SAT models, then report independent checks; the disclosure does not say whether AI originated a central search formulation or only implemented human specifications.

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

Mossel-Peres Multivariable Bernoulli Factory Claim

On hold after review

The accessible short paper discusses a finite-automata Bernoulli-factory claim but gives no clear first-person account assigning a central mathematical contribution to AI.

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

Erdos Problem #731

On hold after review

The author says the research direction and ideas were human-origin, while models developed technical lemmas and calculations; the disclosure does not isolate a retained central AI result.

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

Erdos's Question on the Independence Ratio of Unit-Distance Graphs

Excluded

The authors disclose AI use for editing and software; Codex unexpectedly enumerated an LP face, which influenced direction, but explicitly state they conceived and verified all mathematical results and arguments.

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

Conjecture on $k$-Antichains in the Unit Cube

On hold after review

The author reports extensive GPT-5.5 Pro interaction, but says its suggestions were substantially revised and corrected; the source does not identify a retained central AI construction.

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

The Existence Problem for Regular Gabor Frames

Excluded

The paper explicitly says GPT-5.5 auto-formalized the authors’ main Theorem 1.2; it attributes no new mathematical construction or proof idea to AI. Formalizing an existing human result alone fails the curation threshold.

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

Erdős Problem #1061

On hold after review

The linked Problem 1061 record was not readable, and this entry does not identify which proof or model contribution it represents.

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

Erdos Problem #1061

On hold after review

The author says ChatGPT substantially developed technical lemmas and calculations, while the research directions and ideas were human-originated; the central retained AI part of the sum-of-divisors proof is unspecified.

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

Erdos Problems #593 and #1177

On hold after review

The original paper and repository document an extensive Aristotle-assisted Lean development, but do not identify whether AI originated the classification and exact-spectrum ideas rather than formalizing supplied human mathematics.

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

Erdos Problem #768

On hold after review

This listing describes the same Erdős 768 result; the model’s central mathematical role remains unresolved.

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

The Erdos-Lovasz Cover Number Problem

On hold after review

The source does not identify the central mathematical step supplied by ChatGPT, so the AI contribution cannot yet be assessed.

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

Baker's Question on Smooth Hyperplane Sections over Finite Fields

On hold after review

The acknowledgments credit GPT-based tools with proposing strategies and auxiliary lemmas and helping formalize selected components, yet do not isolate a retained central AI idea for the anti-Bertini construction.

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

The Finite Field Restriction Problem for the Paraboloid

Excluded

The author describes ChatGPT as a sounding board for organizing optimization and checking cutoff calculations, with other models used for editing; no model-origin restriction construction or theorem is claimed.

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

Erdős Problem #671

On hold after review

The linked Overleaf manuscript was inaccessible, and the Erdős #671 problem page did not expose a proof or first-person AI origin account. The claimed result and model contribution cannot yet be distinguished.

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

Erdős Problem #550

On hold after review

The author says humans originated the ideas and research directions while models developed technical lemmas, calculations and Lean code; the retained central AI contribution to Erdős #550 is unclear.

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

Zhi-Wei Sun's Conjecture 3.4 on a Truncated Legendre-Symbol Determinant

On hold after review

The determinant paper presents a proof of Sun’s conjecture but the available original HTML gives no division of mathematical work with AI; the directory label alone cannot establish central AI origin.

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

Erdős Problem #176

On hold after review

The source reports model assistance with a computation and comment but does not identify a retained model-origin bound or proof step.

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

Erdős Problem #948

On hold after review

The secondary listing credits Aristotle and GPT, but the original Erdős #948 proof record was inaccessible and the model’s actual role is unresolved.

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

Erdős Problem #346

On hold after review

The Lean project proves only a limit-exists interpretation; it discloses Codex/ChatGPT assistance with formalization and writing, without isolating an AI-origin proof idea.

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

Erdős Problem #1197

On hold after review

The directory attributes the #1197 disproof to Aristotle, Claude and GPT and reports Lean verification, but links only the inaccessible problem record; no first-person proof provenance was available here.

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

Erdős Problem #306

On hold after review

The queued original Erdős problem page returned 403, so the claimed solution and AI provenance could not be checked.

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

Sabok's S-Prime Simplex Questions

On hold after review

The author reports GPT-assisted strategy and lemma suggestions plus Lean formalization of selected components, but does not identify which central obstruction, if any, originated with AI.

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

Erdős Problem #451

On hold after review

The Erdős problem page was blocked, and the paired arXiv paper needs direct review before this broad problem entry can be tied to a specific AI contribution.

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

Erdos's Question on Shifted Pairwise-Coprime Reciprocal Sums

On hold after review

The paper credits ChatGPT with broad ideation, proof exploration and programming for a shifted pairwise-coprime average-order theorem, but does not identify a retained central theorem idea attributable to it.

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

Erdős Problem #986

Excluded

This listing does not establish a separate AI-origin result in Bradač’s earlier construction; the later model-attributed sharp exponent is a distinct claim.

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

The Erdos-Hajnal High-Girth Subgraph Conjecture

On hold after review

The original abstract proves the conjecture only in a polynomial chromatic-sparsity regime. The accessible original record does not document which, if any, central proof step came from AI.

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

The Matrix Spencer Conjecture for C*-Algebra Contractions

On hold after review

The algebraic C*-algebra result is attributed to Akbas and Sra; the accessible manuscript has not established a retained AI-originated central step for this stronger claim.

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

Erdős Problem #942

On hold after review

The problem discussion links a short paper and Lean theorem for a kappa-equals-2 case but does not establish that AI originated central mathematical work or that this scope resolves all of Erdős 942.

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

Erdős Problem #326

On hold after review

The listed Google Drive note could not be read here, so neither the exact Erdős 326 claim nor central AI origin is established.

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

The Erdos-Graham Semiprime Unit Fraction Problem

Excluded

The paper’s Use of AI credits assistants with Lean formalization, Python scripts and exposition while the author directed the mathematics and adapted a prior human induction method; it does not credit AI with the semiprime proof idea.

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.