← 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 37 of 39

Cascade: GPU-Accelerated Out-of-Core Suffix Array Construction for LLM Corpora

Awaiting detailed review

Collected arXiv metadata screened for scope. This is discovery, not a completed primary-paper review or proof check. Supplied-target benchmarks, applied prediction and human technical work are not automatically curated.

Screening recorded: 2026-10-21 · Decision reviewed: 2026-10-21T07:53:19.130Z

Tenth-discriminant challenge follow-ups

Awaiting detailed review

Thread and comment leads read. Larsson repository explicitly describes an extraction weaker than an existing numerical cutoff; model-only audit is not human checking. LemmaLab repository/API404, with original QRH dependencies and uncompiled-check caveats; proposed class-number/idoneal extensions remain unreviewed. No forum claim promoted from anonymous or model checking alone.

Screening recorded: 2026-10-21 · Decision reviewed: 2026-10-21T07:53:19.130Z

The End of Consensus Research?

Awaiting detailed review

AI-greement generated protocol candidates, but the final A-greement needed human removal of benchmark exploitation and an inherited Bodega flaw. Before inclusion isolate the surviving AI-origin protocol mechanism and any essential mathematical repair. Empirical latency gains and Lean safety models remain separate; no universal performance or fault-tolerance claim inferred.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

Depth Separation for Neural Networks under Gaussian Measure

Excluded

The reviewed disclosure credits Claude/GPT with the Lean formalization of a human depth-separation argument. A new central AI mathematical contribution is not established by this formalization.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

Quantitative Eshelby stability: local and finite-shape theory through AI-assisted mechanics

Awaiting detailed review

The Eshelby manuscript separates analytical theorem, finite-shape enclosure, FEM and AI-process evidence. General candidate-formulation/exploration assistance does not yet allocate a specific central retained stability result to AI. Physical assumptions and numerical limits must be preserved.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

SpecGuard: Proving a Task Is Broken Before the Agent Cheats

Excluded

SpecGuard concerns generated specifications and supplied-target benchmark conflicts. Its measured certification rates are not newly discovered mathematical theorems.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

Long-horizon autoformalization of a core theorem underlying MIP* = RE

Excluded

Autoformalizes a previously known core theorem behind MIP*=RE. Agent audits and repairs of statement correspondence are formalization work, not a new AI-origin solution to the original theorem.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

The Shubin--Vakilian--Wolff Uncertainty Principle at Half Density

Awaiting detailed review

Authors used GPT discussion and generated the Lean formalization while guiding and rewriting the paper. Isolate the central half-density uncertainty-principle idea from the prior human strategy before inclusion.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

Zero Knowledge for Free up to Linear Query Bounds: Quasilinear-Size Constant-Query Zero-Knowledge PCPs

Awaiting detailed review

Authors report extensive Claude assistance with constructions/proofs and their own complete proof checking, but the specific central locator/new-domain contribution needs allocation between human prior work and AI. Preserve unconditional k=2 versus conditional higher-k restrictions before inclusion.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

Electronic crystals and quasicrystals in semiconductor quantum wells: an AI-powered discovery

Awaiting detailed review

The revised v2 is titled Electron quasicrystal in semiconductor quantum wells. Its neural variational calculation reports metallic/crystalline/bilayer states; finite-cell competing configurations and energy ordering need a fuller v1/v2 and size/error comparison before a new phase assessment. Numerical evidence is not exact ground-state proof or experimental confirmation; keep the candidate pending with this concrete scope gap.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

Entropy functional theory for inhomogeneous fluids

Awaiting detailed review

Both the original and revised v2 entropy-functional paper retrieved; specific central AI origin of its analytical result is not documented in the reviewed passages. Do not infer eligibility from neural-functional applications or the query match.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

Stable and causal frames for BDNK hydrodynamics

Excluded

Hydrodynamics disclosure describes Codex manuscript revision, literature cross-checking and review. This does not document central AI origin of the stable/causal-frame construction.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

Dynamic Distances Without Matrix Inverse

Awaiting detailed review

Selected primary paper retrieved. Specific central AI origin, exact theorem and prior-work allocation remain unresolved; general AI assistance is insufficient.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

Zero-free half-planes for Hecke L-functions over number fields

Awaiting detailed review

Hecke-zero-free-region follow-up retrieved. Compare exact families and bounds with existing OpenAI/Cureton–Thorner records, and separately attribute any human strengthening. No duplicate zero-free discovery from a changed title.

Screening recorded: 2026-10-22 · Decision reviewed: 2026-10-22T07:39:59.456Z

No Perfect Randomized Composition

Awaiting detailed review

The total–total randomized composition counterexample is substantial and the source reports a Lean check. The AI statement documents failed direct attempts, human decomposition and proposed construction families, but does not isolate which retained detector/certificate mechanism was supplied centrally by AI. Keep the logarithmic saving and exponential size coupling separate from polylogarithmic composition.

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

An algebraic proof of 1-extension

Awaiting detailed review

Authors report important human and LLM ideas, with initial ideas supplied by humans, and that they checked and understand all results. Isolate a specific central AI balancing/path modification idea before inclusion. Lean formalization retains Asimow–Roth equivalence as an explicit hypothesis.

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

Degenerations of Jordan algebras

Excluded

Recovered PDF explicitly attributes original concept, framework and primary results to the human authors. Aristotle assisted error verification and simplification; this scope fails the central-AI eligibility requirement.

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

Irrationality Exponents of Real CM Elliptic Periods and Powers of the Lemniscate Period

Awaiting detailed review

The CM-period result uses the OpenAI separated-weight interpolation program and specified uniformization/CM/theta inputs. Generic ChatGPT exploration, exposition and Lean assistance does not yet identify the central AI-origin determinant/selected-minor result. Do not infer irrationality exponent two from formal conditional wrappers.

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

Global Convergence of Detailed Balanced Mass Action Systems

Awaiting detailed review

AI-led detailed-balance proof development is explicitly documented. Determine the substantive new proof increment beyond the already retained OpenAI weak-reversibility persistence argument and classical entropy convergence. Seventy-one upstream Lean modules and known global-attractor results are credited; no duplicate theorem count or automatic formalization-only inclusion.

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

LLM2Cert: LLM Synthesis of Certificates with SMT/Lean Verification

Excluded

Certificate synthesis on81 supplied control instances is a proof/repair evaluation, not a scoped new mathematical or theoretical-physics result. Verification percentages are benchmark outcomes.

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

Reflections on Trusting Lean

Awaiting detailed review

The Lean/ZFC arithmetic metatheory statement and formalization are research claims, but a contribution-specific central AI role is not established in the retrieved source.

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

Rank Ceiling for Twiddle-Perturbation Faults on the Forward NTT

Awaiting detailed review

Changed v3 preserves a forward/inverse NTT model with characteristic constraints. Allocate a specific AI-origin rank result and compare revisions before publishing.

Screening recorded: 2026-10-23 · Decision reviewed: 2026-10-28T08:47:35.674Z

Agentic Verified Optimization of Real-World Software

Excluded

Agentic verified optimization measures program performance against supplied reference semantics. No specific new theoretical-computer-science discovery is established by benchmark speedups.

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

Beyond LLM Judge: Mechanical Verification for Agentic Autoformalization

Excluded

Reviewed actual v2. Numerical/vacuity/semantic verification and labeled DLMF statement datasets are benchmark and formalization-method work; no specific new central-AI mathematics result is established.

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

Sum of Squares and Non Sum of Squares Regimes for the Toeplitz Bottcher Wenzel Form

Awaiting detailed review

Reviewed actual v3 PDF after HTML404. It strengthens positive SoS coverage through order50, with Lean only through20, and large-order non-SoS checking. Claude/Codex/Qwen candidate/code/proof assistance is generic; identify the central retained construction or argument supplied by AI before inclusion.

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

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 $3$-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

Power-of-two cycles in projective cubic graphs of large edge-width

Awaiting detailed review

HTML unavailable; versioned PDF recovered. The power-of-two cycle statement in projective cubic graphs has precise edge-width assumptions, but its central AI origin remains unestablished.

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.