← Methodology and sources

Considered but not curated

Sources we considered, with review status and reasons.

What the statuses mean
  • Pending: awaiting detailed review, not rejected.
  • On hold: reviewed, with unresolved questions.
  • Excluded or withdrawn: the recorded reason is shown.
  • Related record: a linked source is already represented; companion claims may still await review.
Counts and coverage

3239 recorded entries · 765 awaiting detailed review · 637 excluded · 672 on hold · 3 publisher withdrawals · 1162 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

2077 matching entries · Page 41 of 42

Data analysis of millions of Type IIB flux vacua

Excluded

Flux-vacua scan discloses AI coding and language polishing for ML analysis. SLSQP candidate minima and embedding patterns do not establish a central AI theoretical contribution or a complete physical-vacuum classification.

Screening recorded: 2026-10-23 · Decision reviewed: 2026-10-23T08:28:30.727Z

Simultaneous Matrix Multiplication by Tensor Contraction Aggregation

Awaiting detailed review

Actual v2 gives AI exploration/centering/corrections disclosures. Isolate the new central aggregation construction from human design and prior Coppersmith–Winograd/Pan identities before inclusion; no automatic matrix-exponent upgrade.

Screening recorded: 2026-10-23 · Decision reviewed: 2026-10-23T08:28:30.727Z

A special Hardy estimate in the axisymmetric swirl problem

Awaiting detailed review

The source calls this a proof draft and identifies further checking points. No contribution-specific central AI role established; do not relabel the proposed axisymmetric regularity threshold as checked.

Screening recorded: 2026-10-23 · Decision reviewed: 2026-10-23T08:28:30.727Z

High precision black hole scattering

Excluded

Black-hole-scattering thesis uses Claude for language and figures. Fifth-order post-Minkowskian/self-force scope does not make that editing central AI theory discovery.

Screening recorded: 2026-10-23 · Decision reviewed: 2026-10-23T08:28:30.727Z

The Hardy-Littlewood-type equivalence problem and its applications

Awaiting detailed review

Functional-analytic Hardy–Littlewood-equivalence paper has no identified central AI contribution in the retrieved version; no inclusion inferred from a collector match.

Screening recorded: 2026-10-23 · Decision reviewed: 2026-10-23T08:28:30.727Z

Can Reciprocal RIS Perform as Non-Reciprocal RIS?

Excluded

The reciprocal-RIS result documents Claude-assisted Lean verification. This does not identify central AI origin of the electromagnetic design theorem; no inclusion inferred from machine verification.

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

Proof-Carrying Contracts: Commitments AI Agents Cannot Break

Excluded

Proof-carrying contracts concern agent commitments and checking infrastructure. Examples of LLM-generated proofs and known formal-method protocols are not a scoped new central-AI mathematics or theory discovery.

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

New Directions in Irrationality

Excluded

The AI disclosure limits assistance to symbolic-experiment code and formal verification of the two main theorems. The new irrationality arguments are not centrally attributed to AI.

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

The algebraic and geometric classification of 33-Poisson algebras

Awaiting detailed review

Actual v2 algebraic/geometric classification read. A new central AI contribution is not documented in the retrieved source; changed formalization metadata does not establish mathematical origin.

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

A Type System for Communication-Safe Hardware Design

Awaiting detailed review

Mechanized communication-safety metatheory needs a specific central AI-origin theorem, rather than verification of a human-designed type system alone.

Screening recorded: 2026-10-24 · Decision reviewed: 2026-10-28T08:47:35.674Z

Exact Compilation and Resource Laws for Hidden Integer Feedback

Awaiting detailed review

Exact compilation and resource laws are formal-method results. No contribution-specific central AI origin established from the manuscript; do not promote a proof-assistant listing automatically.

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

The minimum number of vertices of a triangulation of RP5\mathbb{RP}^5

Awaiting detailed review

The claimed twenty-four-vertex minimum has a topological reduction and finite exact certificates, not an end−to−endend-to-end Lean theorem. Codex assistance in exploration, code and preparation does not specify which retained central construction or obstruction originated with AI.

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

Structure-Aware Equivalence for Evaluating Autoformalized Statements

Excluded

Structure-aware equivalence scoring is an autoformalization evaluation with generated diagnostic pairs, not a new AI-discovered mathematical theorem. Benchmark labels do not establish discovery.

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

Efficient Quantum Algorithm for Mixed-State Quantum Geometry

Awaiting detailed review

Mixed-state geometry algorithm has explicit spectral-gap or bounded-response promises. Generic AI development/checking assistance, including a conditional bulk-edge normalization lemma, does not establish the central AI-origin algorithmic insight. Available-on-request code is not a completed inspected check.

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

Random Tournaments Are Asymptotically Almost Surely Link-irregular

Awaiting detailed review

Random-tournament link-irregularity result has no identified central AI contribution in the retrieved version. No eligibility inferred from formalization discovery metadata.

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

Thin-Layer Dichotomy in Three-Phase Mullins-Sekerka Flow: Gap Dynamics and Composite Interfaces

Excluded

Instantaneous fixed-mode linearization in concentric circular geometries; signed-mode and positive-tension assumptions retained. AI assistance is documented for drafting/editing and Lean formalization, without central mathematical origin of the thin-layer dichotomy. Formal checking alone does not establish eligibility.

Screening recorded: 2026-10-25 · Decision reviewed: 2026-10-25T08:32:40.331Z

SqueezeBench: Saturation-Resilient Evaluation of Mathematical Capability

Excluded

Benchmark agents improved formal records without exceeding published mathematical bounds, explicitly according to the paper. Additional models and accepted submissions do not establish a new central-AI mathematical discovery.

Screening recorded: 2026-10-25 · Decision reviewed: 2026-10-25T08:32:40.331Z

Mario Bonk Cannon-conjecture seminar lead

Awaiting detailed review

The community hub links a Quasiworld seminar by Mario Bonk. Retrieval exposed only a minimal video shell, not the talk content or transcript. A seminar listing does not establish a completed check or explanation of the exact AI contribution. Carry the lead forward; no rating change.

Screening recorded: 2026-10-25 · Decision reviewed: 2026-10-25T08:32:40.331Z

SemantEq: Faithful Bidirectional Equivalence of Formal Statements

Excluded

Statement-equivalence method and benchmark. Models implemented tools, screened labels, wrote evaluated proofs and found flaws in an earlier definition. The current source does not identify a retained central-AI mathematical result distinct from method development and benchmark checking.

Screening recorded: 2026-10-26 · Decision reviewed: 2026-10-26T08:59:58.123Z

A frame-indifferent rank-one convex function in three dimensions which is not quasiconvex

Awaiting detailed review

New frame-indifferent rank-one-convex but non-quasiconvex construction has explicit 3×33\times 3 and local-strain scope. Claude assists construction/proofs and writes Lean under human statement/strategy guidance, but the source does not allocate a specific retained central mathematical idea to AI. Hold that origin question separately from reported human and Lean checking.

Screening recorded: 2026-10-26 · Decision reviewed: 2026-10-26T08:59:58.123Z

Hitting time for loose Hamilton cycles in the random hypergraph process

Awaiting detailed review

GPT assisted the extension from 3-uniform to general uniformity, and gaps found during formalization were repaired with GPT assistance. The exact AI-origin step and essential human repairs need allocation before retaining a distinct new contribution.

Screening recorded: 2026-10-26 · Decision reviewed: 2026-10-26T08:59:58.123Z

Residue Sums Modulo Products of Two Distinct Odd Primes

Awaiting detailed review

AI used for literature, computations and proof checking; another author uses it only for language editing. The residue-sum result’s central AI mathematical origin is not identified. Available hand proofs and data do not settle that allocation.

Screening recorded: 2026-10-26 · Decision reviewed: 2026-10-26T08:59:58.123Z

Finite Mass Response to Vanishing Perturbations at Cauchy Horizons

Awaiting detailed review

Finite delayed mass response at a critical Cauchy-horizon surface-gravity relation, with bounded mass and local finite-energy weak extensions. Source-specific central AI origin is not documented in the retrieved manuscript; formalization alone cannot establish it.

Screening recorded: 2026-10-26 · Decision reviewed: 2026-10-26T08:59:58.123Z

When Do Gaussian Priors Fail? A Latent Geometry Investigation of RL Fine-Tuning

Awaiting detailed review

Numerical prior-geometry/latent-collapse comparison and a partial Lean theory skeleton. Its finite-resource model and uncertainty are not universal physics laws, and a central AI-origin theoretical contribution is not established.

Screening recorded: 2026-10-26 · Decision reviewed: 2026-10-26T08:59:58.123Z

CosmoAgent: AI Agent for Theoretical Cosmology

Excluded

Read v2: mainly recovers known scalar-field models and modest background-likelihood gains. Best nominal ΔAIC=−3.328\Delta AIC=-3.328 but ΔBIC=+7.699\Delta BIC=+7.699; one mock is not a global significance calibration. The shown induced-gravity fit fails a no-ghost condition and the Gauss–Bonnet example has unresolved tensor-speed/validity issues. No new viable physical theory established.

Screening recorded: 2026-10-26 · Decision reviewed: 2026-10-26T08:59:58.123Z

FeynFacet: AI agents for analytic NLO QCD

Awaiting detailed review

Potential central-AI derivation of new NLO transverse-spin-transfer hard functions. Read v1 and current pinned artifact: symbolic and sampled route comparisons share generated amplitudes, scalar reduction and assembly. The 26 October artifact warns that unpatched Kira 3.1 can silently return wrong reductions on Apple Silicon and requires regeneration after correction. Reconcile the published coefficients with a validated generator/binary and rerun provenance before an editorial decision. The notice does not refute results produced on unaffected or validated patched builds.

Screening recorded: 2026-10-26 · Decision reviewed: 2026-10-26T08:59:58.123Z

Sharpness-aware Orthogonalized Momentum Algorithms

Awaiting detailed review

Read the SOMA primary manuscript: optimizer theory and training experiments concern AI as a subject. No source-specific central model-origin mathematical idea established.

Screening recorded: 2026-10-26 · Decision reviewed: 2026-10-26T08:59:58.123Z

Parabolic Rectifiable Reifenberg for Measures

Excluded

The author explicitly owns the mathematics and proof architecture/sketches; LLMs wrote Lean code, documentation and announcement text. This disclosure does not establish central AI mathematical origin.

Screening recorded: 2026-10-27 · Decision reviewed: 2026-10-27T08:42:21.059Z

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