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← 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 19 of 39

Infinitely many elliptic curves with torsion Z/2Z × Z/4Z and rank at least six

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Ray-Chaudhuri–Wilson: uniform families with restricted intersections

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Mycielski Cantor independent set for dense-open binary relations

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Edmonds' perfect matching polytope and matching polytope

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Stanley's acyclic orientations and chromatic reciprocity

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Finite-Lp vorticity nonuniqueness for two-dimensional Euler

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Cantor dynamical extension with a dense forward orbit

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Knaster–Reichbach homeomorphism extension on Cantor space

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Edmonds cardinality matroid intersection

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Nash-Williams' weak orientation theorem

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Kirkman's theorem on Steiner triple systems

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

CONDITIONAL on RH and cited zero counts: Goldbach numbers in intervals of length 4.45 log^2 x

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

The Hilton–Milner theorem

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Finite uniform Bernoulli shifts with unequal base entropy

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Perron's extremal solutions of the Bernoulli one-phase problem: viscosity, inner variational and one-sided minimizing solutions, and free boundary structure in the plane

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Weak and strong βη-normalization in pure type systems with βη-conversion

Palomar formal checking registry

Awaiting detailed review

Claude reportedly extended an existing beta-normalization route to beta-eta conversion. Compare the exact new conjecture/quantifiers with the prior theorem and human direction before selecting a distinct AI-centered proof contribution.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

birthday-paradox-non-backtracking-regular-graphs

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

The Euclidean algorithm is not optimal among uniform processes

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Sums of primes, after Hardy and Littlewood 1923, Partitio Numerorum III, Theorems B to F proved without Hypothesis R, and Theorem A on Hypothesis R for 47/64 at most Theta below 3/4

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

The Art Gallery Problem is ∃ℝ-complete: point-point, boundary-point and point-boundary variants, in Lean 4

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

The Number of Polytope Trees and Beyond — Lean 4 formalization

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

The critical Almost Stacked Hypothesis fails on a nine-vertex graph

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Kurz's conjecture on the maximum area of the convex hull of a polyhex

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

A Cauchy-Schwarz inequality for real powers: proof, equality cases and weighted forms

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Erdős Problem 699: every counterexample has n ≤ j²

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Algebraic E1 degeneration from explicit d′d″ identities

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

BandParity: the band-parity sum of a quartic character, two laws modulo 4

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Bounds for the iteration x ↦ a mod x

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Independent sets in hypergraphs with no loose triangle

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Random walk on sphere packings and Delaunay triangulations in arbitrary dimension

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Regularity structures and dynamical Phi^4_3

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Discontinuity of stochastic convolutions

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Dynamic dimensional reduction in the Abelian sandpile

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

ORRW-Lower-Bound

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Unique-Continuation-Planar

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

The optimal Hessian bound for convex four-body central configurations

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

A density version of the binary Goldbach problem, after Alsetri and Shao

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Nearly linear directed cycles in vertex-transitive digraphs

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Proofs and corrections of OEIS conjectures

Palomar formal checking registry

Awaiting detailed review

The source explicitly reports model-generated proofs and four corrected OEIS conjectures, with no human proof ideas. Isolate the exact novel corrected statements, prior identities and theorem/checking correspondence before selecting scoped contributions.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Nivat's conjecture

Palomar formal checking registry

Awaiting detailed review

Compare the changed formalization with the earlier Nivat artifact and current keep/exclude/hold decision. It does not create a second mathematical discovery or automatically restore an older excluded record.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Chain returns and lower bounds for superpermutations

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

A proof of Kroó’s conjecture

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Slow Equilibration and Persistent Stationary Correlations in Spherical Spin Glasses

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

A smaller upper bound for superpermutations

Palomar formal checking registry

Awaiting detailed review

Pinned listing and available project source were screened. Reconcile the precise retained contribution, earlier artifact or human proof, central AI origin and any essential repair; registration and a changed fingerprint alone do not justify inclusion or republication.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Regular subgraphs of almost regular graphs (Alon–Friedland–Kalai)

Palomar formal checking registry

Excluded

Pinned project formalizes named established human mathematics; no specific retained new AI-origin mathematical advance is identified. Independent proof/code generation does not automatically make the original theorem a new AI discovery.

Screening recorded: 2026-10-28 · Decision reviewed: 2026-10-28T08:47:35.674Z

Lavrentieff's Gδ homeomorphism extension theorem

Palomar formal checking registry

Excluded

Classical Lavrentieff extension theorem. Agents formalize the supplied extension construction; no distinct central-AI mathematical contribution is established.

Screening recorded: 2026-10-24 · Decision reviewed: 2026-10-24T07:28:43.626Z

Spanning-Tree Maximization Forces Isoperimetry in the Square Lattice

Palomar formal checking registry

Awaiting detailed review

The full cardinality classification, exact exceptional sizes and Fourier normalization were checked against the pinned interface. The paper supplies the mathematical proof route; the AI disclosure documents substantial implementation under human mathematical direction, not the origin of a distinct central mathematical idea. Prior square-maximality companion must remain separate.

Screening recorded: 2026-10-24 · Decision reviewed: 2026-10-24T07:28:43.626Z

Mader's theorem on highly connected subgraphs

Palomar formal checking registry

Excluded

Aristotle receives Diestel’s proof plan for Mader’s 1972 theorem. Formalizing this supplied human proof alone does not satisfy current eligibility.

Screening recorded: 2026-10-24 · Decision reviewed: 2026-10-24T07:28:43.626Z

An FPT Algorithm for Maximum-Weight Independent Set in Embedded Graphs, in Lean 4

Palomar formal checking registry

Awaiting detailed review

The new FPT bound 2^O(p log(p+1)) poly(N,log(M+1)), p=Euler genus plus odd regions, differs from the earlier XP lead. The explicit pointer-machine and integer-weight scope was read. The manuscript is forthcoming and absent; disclosure allocates formalization and documentation to AI, without establishing central mathematical origin.

Screening recorded: 2026-10-24 · Decision reviewed: 2026-10-24T07:28:43.626Z

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