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Evidence before headlines

Proof claim audit

18 recent claims with substantive supporting evidence, checked against their newest scope, final theorem, dependencies, formal assumptions, reproducibility, and independent mathematical reception. 5 currently clear the bar for an established result. Disputed, withdrawn, retracted, or materially incomplete artifacts are not listed on this site.

The decision rule

A build badge is not a proof.

The endpoint must match the advertised quantifiers and cannot depend on a decisive sorry, new axiom, black box, or unstated bridge. Machine checking is inspected at theorem level; conventional proofs require meaningful independent acceptance.

Grade A

3 claims · Clear filter

  1. CLAIM-001

    Full Jacobian conjecture

    EstablishedGrade A

    A counterexample in dimension 3, extended by identity coordinates to every dimension n >= 3.

    Verified refutation for n >= 3; the plane case remains open.

    Formal / reproducible check

    Isabelle/HOL and Lean endpoints; the pinned Lean build was reproduced with no project sorry or custom axiom.

    Independent status evidence

    Exact rational recomputation and an independent expert reconstruction agree with the formal artifacts.

  2. CLAIM-002

    Full Dixmier conjecture

    EstablishedGrade A

    Failure at rank 3, hence at every rank n >= 3.

    Verified refutation for ranks n >= 3; A1 and A2 remain open.

    Formal / reproducible check

    The decisive route is the published same-rank implication DC_n => JC_n plus the formally verified JC_3 counterexample.

    Independent status evidence

    An explicit A3 write-up passes exact algebra checks, but that script is corroboration rather than a proof-assistant formalization.

  3. CLAIM-003

    Cycle Double Cover conjecture

    EstablishedGrade A

    Every finite loopless bridgeless multigraph has a cycle double cover.

    Established theorem.

    Formal / reproducible check

    The unconditional Lean theorem cycleDoubleCover_of_bridgeless rebuilds at the pinned revision with no project sorry or added axiom.

    Independent status evidence

    Geelen and Oum reconstructed and explained the argument; Carmesin publicly confirmed it.