← 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 16 of 39

The Quantum Pyramids Conjecture

Excluded

The original paper credits ChatGPT Pro 5.4 with appendix calculations and locating the already-known equal-variables method; the mathematical conjecture resolution and main proof are not attributed to a model.

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

The Matrix Spencer Conjecture for Finite Groups

On hold after review

The paper credits AI with a decisive earlier argument, but says that argument was replaced in the final proof; it does not identify a retained central AI-origin step.

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

The Schwartz Quadratic Meander Number Conjecture

On hold after review

AlphaEvolve experiments searched meandric permutations and informed some constructions, while LLMs mainly researched literature; the methodology does not say whether a retained central construction was model-generated.

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

Erdős Problem #539

On hold after review

The Erdős #539 original problem record returned 403, so the proof and any AI-origin claim could not be audited.

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

The Sharp Threshold for the Dyn-Farkhi Conjecture

On hold after review

The author credits ChatGPT with helping find the argument but does not identify the mathematical step it supplied.

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

Erdős Problem #623

On hold after review

The original repository claims independence of Erdős #623 but its README and the problem page do not document a central AI-origin argument.

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

Divisibility Set of the Generalized Euler Totient

On hold after review

The author reports extensive GPT-5.5 Pro exploration and proof-development suggestions but does not specify a retained central mathematical idea in the divisibility-set classification.

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

Erdős Problem #477

On hold after review

The forum describes an AlphaProof counterexample to a previous wording of Erdős 477, leaving the relation to the current formulation unclear.

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

Gaussian Mass Maximality of the Integer Lattice

Excluded

Kominers explicitly credits himself with the problem, methods, and final form of the unimodular-lattice Gaussian-mass result; LLMs assisted computations, analysis, and synthesis without an identified central model-origin contribution.

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

Unit-Area Triangles in Planar Sets of Large Measure

On hold after review

The disclosure credits ChatGPT with constructing an example while attributing the mathematical ideas to the authors; the model’s original role remains unclear.

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

The Sum-Product Conjecture over the Reals

Excluded

The authors state the final construction and main ideas were almost entirely human-generated; the model was a sounding board and suggested one simpler auxiliary lemma.

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

Borsuk Conjecture lowest-ever counterexample (N=63)

On hold after review

The repository credits GPT-5.5 Pro with assistance on a 63-dimensional Borsuk counterexample but does not specify whether the model originated the construction or only helped verify or present it.

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

No-Go Theorems for Poisson Certificates of Gaussian Mass Maximality

Excluded

The paper explicitly credits LLMs with computational, analytical and synthesis assistance while saying the problem, methods and final written form are the author’s own; no central AI-origin mathematical contribution is documented.

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

Bombari's Question on Sign-Quantized Linear Maps

Excluded

The revision identifies Gemini's covariance-splitting strategy as a rediscovery of Barber–Kolar; the new row-partitioning step answering Bombari's square-matrix question was added by the human authors.

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

Open Problems in Commutative Algebra Resolved by Rethlas

On hold after review

This source combines eight separate mathematical results. Each needs its own claim, baseline and checking assessment before inclusion.

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

Simon's Extendable Shellability Conjecture

On hold after review

An early candidate was identified with ChatGPT assistance, but the current paper obtains its complex through exhaustive computation; the retained AI contribution is unclear.

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

Optimal Vector Balancing for Zonotopes

On hold after review

The source documents model assistance and human verification, but does not identify a retained central AI-origin proof step or construction.

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

Binary Digits of the Erdős-Borwein Constant

On hold after review

The author reports extensive GPT-5.5 Pro interaction but says all suggestions were substantially revised and corrected; the retained central AI step is unidentified.

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

Erdős Problem #12

On hold after review

The directory attributes a model-assisted result to Erdős #12, but the linked problem record could not be read and no original proof or model-origin disclosure was available.

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

Erdős Problem #138

On hold after review

The original Problem 138 record and linked companion were not readable here, leaving the claimed AI proof and its exact van der Waerden statement unresolved.

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

Erdős Problem #387

On hold after review

The unconditional revision credits interactive model work but does not identify which central covering idea the model supplied.

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

Log-Convexity of Fisher Information Along Heat Flow

On hold after review

The abstract attributes the explicit hexagonal counterexample to GPT-5.5 Pro-assisted exploration, but does not separate a model-found construction from human-led exploration.

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

Maz'ya's Question on Distinguishing Two Maximal Operators

Excluded

The author explicitly states that all mathematical ideas, results, and proofs are theirs; ChatGPT only investigated example spaces. The documented model role is not central mathematical work.

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

Erdős Problem #1039

On hold after review

The cited Erdős problem page was unavailable, so no original AI or proof account could be checked.

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

Existence of $t$-Edge-Balanced Graphs for $t \ge 3$

Excluded

The paper credits ChatGPT only with developing C++ search code. The simulated annealing program found the graphs, while the author derived the arithmetic conditions and nonexistence proof; no central AI mathematical contribution is documented.

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

The Kinoshita Conjecture and Kirby Problem 4.37

On hold after review

The authors acknowledge ChatGPT, Cursor and Gemini in initial exploration and computation, but say final computations were performed and verified without AI; they do not identify a retained model-origin mathematical idea.

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

Gaussian Completely Monotone Conjecture

On hold after review

The Gaussian complete-monotonicity paper states a counterexample, but its accessible original text does not identify central AI mathematical work.

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

Maximum Entropy of Sums of Independent Ternary Random Variables

Excluded

The author says ChatGPT verified some derivations and helped format the manuscript; the disclosure does not credit it with the entropy theorem or proof idea.

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

Erdős Problem #690

On hold after review

The secondary listing credits an AI system, but the original Erdős #690 record was inaccessible and provides no reviewable proof attribution here.

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

Erdős Problem #1032

On hold after review

Neither the original #1032 page (403) nor a readable first-person proof was available; the batch metadata alone cannot establish the specific result or central AI work.

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

Erdős Problem #7

On hold after review

A cached canonical Erdős #7 record labels the odd-moduli covering-system question open, while a public index lists the candidate as retracted. The primary retraction and any original AI proof were inaccessible, so the affected claim needs resolution.

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

Erdős Problem #351

On hold after review

The original Erdős #351 page could not be read. A secondary index reports a GPT-5.5 Pro Lean-verified solution, but the exact source artifact and model-origin argument were not available here.

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

Erdős Problem #283

On hold after review

The original Erdős problem record was inaccessible, and the registry lacks a first-party proof or model-work statement for this exact entry.

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

Erdős Problem #870

On hold after review

Tao’s AI-contributions record labels the GPT-5.4/5.5 work a candidate full solution, while the linked Overleaf proof and Erdős problem page could not be read here. The exact claim and checking remain unsettled.

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

Erdős Problem #694

On hold after review

The community record credits GPT-5.5 Pro with a Lean-checked proof of #694, but the original Erdős record returned 403 and no primary proof or AI-origin account was available.

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

Erdős Problem #1151

On hold after review

The Ulam draft gives a Chebyshev–Lagrange limit-set analysis, but its available text has no AI-origin disclosure; the original problem record also flags an ambiguous formulation.

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

Erdős Problem #1201

On hold after review

The original Ulam note derives #1201 from Matomäki–Radziwiłł but contains no model provenance or AI disclosure, so central AI involvement cannot be established from the paper.

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

The Proportion of Permutations Fixing a k-Set

On hold after review

The arXiv manuscript could not be read through the available source viewer, so its AI disclosure and exact contribution cannot be audited.

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

Erdős Problem #1133

On hold after review

The original Erdős problem page was inaccessible (403), so the aggregator’s AI attribution and precise proof cannot be checked.

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

Erdős Problem #1092

On hold after review

The linked original problem record was inaccessible; the directory label alone does not establish the proof or AI role.

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

Erdős Problem #1101

On hold after review

The original problem page still poses Erdős #1101 and gives no AI-origin proof or new contribution.

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

Erdős Problem #42

On hold after review

The secondary listing says GPT-5.5 Pro discovered the result, but the original Erdős record was inaccessible and the specific AI-origin proof could not be checked.

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

Erdős Problem #43

On hold after review

The original Erdős #43 record could not be retrieved, so the stated result and AI attribution cannot be checked.

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.