← 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 34 of 39

Entanglement of formation revision two

On hold after review

The current primary disclosure lists drafting/checking proof details and formalization attempts. It does not specifically credit the discretization idea to AI as the older description suggests.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

Jianmu-Q

On hold after review

Jianmu-Q agents derive model mappings and design circuits, but this queue item names the whole system rather than an exact retained mathematical contribution.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

PTagent

Excluded

PTagent is an LLM-guided workflow for interpreting existing physics model inputs and producing approved numerical potentials. The tested output is a model-construction tool, with deterministic backends doing the calculations; no AI-origin mathematical result is claimed.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

TheoPhysEval

Excluded

Current Reddit/HN discussion points to the same benchmark already reviewed. Benchmark performance is not a new theoretical-physics discovery; no duplicate contribution.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-16T07:32:17.125Z

Known OpenAI dependent Hodge withdrawals

Excluded

This entry is an aggregate withdrawal notice, not a live proof claim. The original maintainer history identifies a sign error invalidating the shared construction and names all three withdrawn Hodge manuscripts.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

The Six-Dimensional Tarski Problem is $Ω(\log^3 n)$-Hard

On hold after review

Central AI-origin work in the six-dimensional Tarski lower bound is not identified; the earlier weaker bound was the author’s independent work.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

Minimal Witness Reinforcement Learning

Excluded

Human-authored reinforcement-learning algorithm studies model training; no documented AI-origin mathematical contribution in the original claim.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

Light hybrid baryons in the constituent model of QCD

On hold after review

The paper derives a constituent-model hybrid-baryon spectrum, with no accessible disclosure that AI supplied the model or derivation.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

Boltzmann generators for amorphous particle systems

On hold after review

The paper introduces an equivariant generative sampler and theoretical guarantees, but does not identify an AI system as originator of those mathematical ideas.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

Co-design of ground-based gravitational wave detector networks

On hold after review

IfoScout uses reinforcement learning and differential programming for detector co-design, but the original paper does not attribute its optimization idea or result to an AI research agent.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

Canonical expansions of $\mathbb R_{\mathcal Q}$-germs

On hold after review

The AI-use statement says ChatGPT discussed arguments and assisted in completing five proofs, but does not identify which central ideas it supplied.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

Stoic Logic and Natural Term Logic

On hold after review

The paper reconstructs Stoic multiple generality using the author’s Natural Term Logic, but the accessible original text does not attribute a central mathematical idea to AI.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

How language model agents reshape price competition

On hold after review

The main text describes motif extraction and language editing, but Supplementary Note 10.4 also names AI assistance with proof development. The exact model-origin mathematical work is unresolved.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

Diffusion Language Models as Open Quantum Systems

Excluded

AI-use statement expressly limits generative AI to brainstorming, readability, organization and software; authors say it was not an autonomous source of claims or proofs.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-18T00:00:00.000Z

Positive Sectional Curvature on All Smooth 7-spheres

On hold after review

The acknowledgment of exploring some strategies and calculations does not identify an AI-supplied retained lemma or construction; importance of the sphere theorem does not establish that role.

Screening recorded: 2026-10-16 · Decision reviewed: 2026-10-16T20:44:03.788721Z

Upper bounds for Jung constants of l1^d

On hold after review

The paper proves Jung-constant bounds and a Lean formalization, but the accessible original text does not attribute the mathematical proof to AI.

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

Rely-guarantee concurrent garbage collector

On hold after review

The AFP entry says Claude initially generated some proofs but people extensively revised them; the retained AI-origin reasoning in the rely-guarantee specification is unclear.

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

Community guidance and formal-library projects

Excluded

Community guidance and project list is not a single new research contribution.

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

AI-assisted historical cipher decoding

On hold after review

Nature reports AI-assisted decoding of historical ciphers, but its article redirects to an inaccessible sign-in page, so the exact original artifact and any mathematical contribution cannot be checked.

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

Implementing the EIT complete electrode model through Robin boundary conditions

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Spectral stability for strong ideal-gas shock layers

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Proof Perplexity: A Probabilistic Approach to Measuring non-triviality in Machine Generated Proofs

Awaiting detailed review

Recovered arXiv metadata screened for mathematics, theoretical computer science and theoretical physics relevance. Not a completed primary-paper review; many are applications, experimental control, language-model evaluations or human work. No publication or proof-validation inference from a metadata match.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-20T07:30:08.090Z

Lean4AgenticRL: Advancing Agentic RL with Verifiable Multi-level Process Rewards

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

The square achievement game on $n \times n$ boards

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Aligning Information Theory and Formal Verification: A Lean Formalization of Rate-Distortion Theory

Awaiting detailed review

Recovered arXiv metadata screened for mathematics, theoretical computer science and theoretical physics relevance. Not a completed primary-paper review; many are applications, experimental control, language-model evaluations or human work. No publication or proof-validation inference from a metadata match.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-20T07:30:08.090Z

Degeneracy graph determinants and higher-dimensional Young diagrams

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Euler: Towards Human-Centered Multi-Agent Mathematical Discovery

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Teaching Agents in their Own Style: Blackbox Teacher Distillation for Web Agents

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Sparse Autoencoders Are a Shared Coordinate System for Symbolic Matching

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Recursive Formation and First-Class Reuse of Compositional Capabilities

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

LeanPRM: Lean-Grounded Process Supervision for Natural Language Proof Verification

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Short Proofs for the Minimum Number of Determined Circles

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Uniform adjacency-degree probes from differential rigidity

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Smale's sixth problem for five bodies in the plane, with a proof formalized in Lean

Awaiting detailed review

Promising mathematical-physics lead: reported finiteness for five planar Newtonian bodies at every positive mass, removing the earlier codimension-two exceptional set. General AI use for finding/proving results is disclosed, but contribution-specific allocation of the central valuation/certificate argument and exact external-input/formal semantics need review. Do not infer complete original-proof verification from the paper’s formalization label or numerical interval runs.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Tweaking the constant in the Linear Hadwiger Theorem

Awaiting detailed review

Primary v1 states 19,885,160 while recovered metadata states 1,118,430. AI-led optimization and Lean checking are disclosed, but reconcile exact source versions/constants before publishing; the author scopes the gain as an optimization experiment, not the original Linear Hadwiger breakthrough.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-20T07:30:08.090Z

When Double Rounding is Correct

Awaiting detailed review

Primary paper and discovery metadata checked. A specific central AI mathematical contribution, exact prior baseline or proof-to-statement scope remains unresolved; Lean use and benchmark performance alone are not promotion criteria.

Screening recorded: 2026-10-19 · Decision reviewed: 2026-10-19T07:23:14.226Z

Rényi Multi-entropy for Stabilizer States: A Finite Field Gauss Sum Problem

Awaiting detailed review

Read stabilizer-state/finite-field model and AI disclaimer. Model-produced/checking passages do not yet isolate which central Gauss-sum result is AI-origin. Any later record must separate the checked formula subset from the full if-and-only-if and graph-family claims.

Screening recorded: 2026-10-20 · Decision reviewed: 2026-10-20T07:30:08.090Z

Two hidden layer suffice: the caterpillar net

Awaiting detailed review

Paper credits Claude/Codex for formalization and manuscript preparation; the listing’s AI-assisted proof-search tag does not identify which new construction or proof idea AI supplied. Resolve contribution-specific attribution before inclusion.

Screening recorded: 2026-10-20 · Decision reviewed: 2026-10-20T07:30:08.090Z

Rózsa: Certified Equational Reasoning

Excluded

The reviewed scope is a proof-agent system, dataset/benchmark, solver or coordination/verification method on supplied targets. No distinct new AI-origin mathematics, TCS theorem or theoretical-physics result is established by that scope; benchmark performance is not promoted as a newly discovered theorem.

Screening recorded: 2026-10-20 · Decision reviewed: 2026-10-20T07:30:08.090Z

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