Palomar formal checking registry
ExcludedKnown compact-Hausdorff countable-network metrization theorem. Formal proof and agent work alone do not establish a new central AI contribution under current policy.
Screening recorded: 2026-10-18 · Decision reviewed: 2026-10-18T07:37:42.537Z
Palomar formal checking registry
On hold after reviewThe compositum package includes a claimed canonical-pair witness and new exact identities alongside classical Coxeter material. Claude drafted and repaired proofs, but the original mathematical origin of the claimed new parts is not documented.
Screening recorded: 2026-10-18 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedKnown Nash–Williams–Tutte packing and arboricity results. Formalization and registry admission alone do not satisfy central-AI eligibility.
Screening recorded: 2026-10-18 · Decision reviewed: 2026-10-18T07:37:42.537Z
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On hold after reviewThe cited disclosure says GPT-6 systems assisted mathematical arguments and exact certificate discovery, but it does not identify which central retained idea or certificate came from AI.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
On hold after reviewThe exact Recht–Ré counterexamples are new candidates, but the disclosure describes AI assistance across research and formalization without naming a retained central AI construction.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
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On hold after reviewThe claimed sharp bound comes from a private informal manuscript that cannot be checked here. Codex is described as formalizing and packaging it, so the origin and scope of any AI mathematical contribution remain unresolved.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
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On hold after reviewThe Ehard–Glock–Joos theorems are prior work, but this proof replaces their Molloy–Reed step with a trimmed-nibble construction. Aristotle proved from supplied plans and Claude designed/reviewed the route; the origin of that replacement is unresolved.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe source formalizes the classical Sneider Gδ-diagonal criterion, not the cited paper’s new small-diagonal results. Codex authored Lean proofs and tests, with no new mathematical result claimed.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
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On hold after reviewThe current package ports an already public counterexample proof and adds a bridge to a corrected global statement. The original archive’s AI/proof origin is not established by this disclosure.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
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ExcludedThe discrete Carleson theorem and proof are taken from the two cited Krause–Roos papers. AI made a blueprint and Lean proofs for those source arguments, not a new central mathematical result.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
On hold after reviewThe source does not identify a central new geometric idea or result supplied by AI beyond human direction and Lean proof engineering.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe selected cone square-function theorems come from Cushman–Demeter–Wu. Claude and Codex are credited with autoformalization and proof bridges, not discovery of the source estimates.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
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ExcludedFüredi’s and Erdős–Simonovits’s stability theorems are cited as prior results. Aristotle and Claude generated Lean proofs and plans for those established claims, without a new central mathematical contribution documented.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
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On hold after reviewThe source presents finite certificates and conservation-only and differentiable-only routes developed in AI-assisted PDT research. Alexander selected the results, but the disclosure does not say whether Codex supplied the central new arguments or only their Lean proofs.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
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ExcludedThe waist theorems are sourced to Gromov, Memarian and Klartag. Aristotle is credited with assisting their Lean formalization, with no central new mathematical idea identified.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe repository says it reproduces a prior AI-assisted Lean proof of Kra–Moreira–Richter–Robertson’s 2024 theorem; this adaptation claims no new mathematical result.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe source expressly calls the Alexandroff–Urysohn criterion classical and claims no novelty. Codex authored the Lean proofs and packaging; that is not a new mathematical contribution.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe augmented Descartes and Soddy statements are explicitly formalized from Lagarias–Mallows–Wilks and their cited higher-dimensional proof. Claude’s documented work is source reading, Lean proofs and audits.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedCauchy–Binet, Kirchhoff’s matrix-tree theorem and Cayley’s formula are established results. The author supplied statements and proof plans; Aristotle generated their Lean formal proofs.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
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ExcludedErdős–Gallai and Havel–Hakimi are established characterizations, with Choudum’s sufficiency proof followed. Agent work implements the Lean formalization.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe source formalizes classical Euler–Hierholzer and Petersen theorems and explicitly says no mathematical novelty is claimed. Claude wrote Lean code and proposed proof plans approved by the human author; no new central result is attributed to AI.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe Gallai–Hasse–Roy–Vitaver theorem is established. The human author chose the result, while Aristotle and Claude generated Lean proofs from supplied formal statements and a proof plan.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe selected MUB, SIC-POVM, Welch and Gerzon results are mapped individually to earlier papers and formalizations. Claude agents produced Lean proofs and source audits, but the disclosure does not identify a new central mathematical contribution.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
On hold after reviewThe source does not distinguish core mathematical statements first supplied by AI from earlier notes or human direction.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
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On hold after reviewThe connected counterexample family is supplied by a private manuscript that cannot be checked against the repository. GPT-6 is credited with Lean proofs and certificates, not clearly with discovering the family.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe author says he proved the finite-multiplicity Erdős 99 result himself and gave Aristotle a finished manuscript for Lean formalization. The documented AI work is transcription and proof engineering.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
On hold after reviewThe source credits agents with proof development but does not identify which central classification or periodicity step they originated.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe six selected statements are Evans §6.2 solvability results. Claude wrote and refactored Lean proofs under hand-fixed literature statements; the disclosure does not assign AI a new central result.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe project explicitly calls itself an attributed Flypitch reproduction of the established CH independence formalization. AI agents adapted and audited existing Lean proofs.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe repository derives Petersen’s established matching theorem from Tutte’s theorem. The human author chose the statement and proof plan; Aristotle supplied the Lean proof.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe formalization adapts a preexisting elliptic-curve manuscript and leaves its prime asymptotic as a hypothesis. GPT-6 agents checked and formalized that target; the disclosure identifies no AI-origin result.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe entry explicitly formalizes classical Mader, Dirac and Hadwiger results and says no mathematical novelty is claimed. Aristotle proved supplied formal statements and proof plans; Claude designed and reviewed them.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThis package selects Greenwood–Gleason, Erdős–Szekeres, and Erdős graph Ramsey bounds; the author chose the classical results and AI generated Lean proofs.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe Kőnig, Kőnig–Egerváry, Dilworth and Mirsky claims are credited to classical sources. The author chose results and routes and supplied statements and plans; Aristotle and Claude generated Lean proofs.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe source formalizes Kuratowski’s 1930 theorem through Wagner’s theorem. It explicitly says the human author chose the result and route, supplied proof plans, and claims no mathematical novelty; agents supplied Lean proofs.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
On hold after reviewThe cited repository does not expose a root formalization.yaml, so the source theorem and AI/proof disclosure were not readable.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe localized spectral bound is tied to the earlier conjecture and Bradač’s scalar argument, with a reused BN spectral lift. Codex is credited for local Lean adaptation and toolchain port, not for a new central mathematical idea.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe disclosure explicitly says Pranava Kumar devised the common-height mathematical argument without automation. Claude translated that proof into Lean and later agents ported it, so the central result is human-origin.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
On hold after reviewAxiomProver generated the Lean proof of Lau’s Collatz density theorem, but the formalization record does not say who supplied the paper’s central mathematical idea.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe three selected results specialize or restate Haxell–Rödl and classical nibble/LP claims; metadata says the human author supplied results and proof plans, AI produced Lean proofs.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe H² lifting criterion is classical, and the human supplied six starting Lean lemmas. Agents completed and compiled this proof and its matrix application without a novelty claim or documented new central mathematical idea.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe strict rational rounding statement and floating-coordinate proof are Beck–Fiala's theorem. Traverso chose the result and route; Claude generated the Lean proofs.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedDross’s published 9n/10 theorem and its max-flow route supplied both the statement and proof plan. Aristotle generated Lean proofs from the author’s plans; no new mathematics is claimed.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe project formalizes all numbered statements of Troscheit’s prior Brownian-image paper. Claude and GPT-6 performed Lean proof development and review, with no disclosed AI-origin mathematical result.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe cutoff-826 totient counterexample and strict-pattern consequence are explicitly attributed to Chojecki’s Proposition 1.2. Codex supplied a finite certificate and a bound derived from the absent pattern; the source claims no new result.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe registered results are Wagner, Škrekovski, Thomassen, Li–Wang and Voigt theorems. The author supplied the statements, routes and proof plans; Aristotle generated Lean proofs of those established results.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedVizing’s bound and McDiarmid’s equitable refinement are earlier results. The source says the human author chose the results and route while AI generated Lean proofs.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe source formalizes the established Häggkvist–Janssen theorem and does not document a new AI-origin mathematical proof idea.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe project explicitly formalizes classical Smirnov metrization and claims no new mathematics; Codex wrote the formal proof.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18T00:00:00.000Z
Palomar formal checking registry
ExcludedThe pinned README explicitly formalizes Grötzsch's and Kostochka–Yancey's established human theorems. The author says he chose the statements and proof route; AI generated Lean code and formal proofs but no distinct central new mathematical result.
Screening recorded: 2026-10-17 · Decision reviewed: 2026-10-18