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Mathematical findings

690 source-grounded records. Verification labels remain separate from source authentication and publication status.

Editorial data from VibeMathed is CC BY 4.0 licensed. Linked papers and authors’ text retain their own rights. Each record links to its registry entry and primary source. Verification labels are attributed to the registry.

algebraAug 1, 2026Significance 20/100Registry: unreviewed

Two-Variable Factorial Conjecture

Prior state unknown→proved

Claimed in a self-published research draft; a standalone by-product is the transcendence of the integral of exp(q) between distinct algebraic endpoints for nonconstant algebraic q

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJul 21, 2026Significance 20/100Registry: unreviewed

Norine's Antipodal-Colouring Conjecture

Prior state unknown→proved

VibeMathed recorded: Norine's Antipodal-Colouring Conjecture. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsAug 1, 2026Significance 20/100Registry: lean verified

Erdős Problem #180: Compactness Conjecture

Prior state unknown→disproved

VibeMathed recorded: Erdős Problem #180: Compactness Conjecture. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
geometry-topologyJul 22, 2026Significance 20/100Registry: unreviewed

The Minimal Distance Problem

Prior state unknown→proved

also disproves a separate finite-field conjecture of Hunter, Pohoata, Verstraete and Zhang

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
mathematical-physicsJun 2, 2026Significance 20/100Registry: expert verified

FullRSB Jamming Identity a + b = 1

Prior state unknown→proved

VibeMathed recorded: FullRSB Jamming Identity a + b = 1. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
analysisJul 13, 2026Significance 20/100Registry: unreviewed

The Classical Smith-Ward Problem

Prior state unknown→disproved

Harris had settled the generalized problem in dimension four; this reaches dimension three

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
analysisAug 3, 2026Significance 20/100Registry: unreviewed

Sharpness of Denjoy's Theorem

Prior state unknown→proved

VibeMathed recorded: Sharpness of Denjoy's Theorem. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
number-theoryAug 21, 2026Significance 20/100Registry: lean checked

Problem 3 of Dubickas (2006): Is 3∈Z\sqrt{3} \in \mathcal{Z}?

Prior state unknown→proved

Answers Problem 3 and generalizes it: the classification m∈S  ⟺  m=2\sqrt{m} \in \mathcal{S} \iff m = 2 covers every square root, and a further theorem replaces parity by divisibility by any p≥2p \ge 2. Note the scope of the machine-checking, which is narrower than the paper: the author states that the case m=3m = 3 is what is verified in Lean, and the repository flags the thickness computation of section 4.1 and all of sectio…

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
geometry-topologyJul 21, 2026Significance 20/100Registry: unreviewed

The mod 4 Kawauchi Conjecture

Prior state unknown→proved

the mod 4 form; the general conjecture is false by Ermotti, Hongler and Weber

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
analysisJul 29, 2026Significance 20/100Registry: unreviewed

The Lukic Conjecture

Prior state unknown→disproved

VibeMathed recorded: The Lukic Conjecture. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
probability-statisticsMay 12, 2026Significance 20/100Registry: unreviewed

Maximum Entropy of Sums of Independent Ternary Random Variables

Prior state unknown→proved

VibeMathed recorded: Maximum Entropy of Sums of Independent Ternary Random Variables. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
analysisAug 12, 2026Significance 20/100Registry: unreviewed

Word-length spectral triples as compact quantum metric spaces

Prior state unknown→disproved

The first explicit counterexample rather than a first suspicion: the abstract is clear that the failure was widely expected and that what was missing was a witness. It gives an infinite family, one for each d >= 2, all Lamplighter groups over free groups.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
geometry-topologyJul 27, 2026Significance 20/100Registry: unreviewed

Kuperberg's Six-Cylinder Conjecture

Prior state unknown→proved

VibeMathed recorded: Kuperberg's Six-Cylinder Conjecture. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
probability-statisticsJul 20, 2026Significance 20/100Registry: lean verified

Gaussian product inequality conjecture

Prior state unknown→proved

VibeMathed recorded: Gaussian product inequality conjecture. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
differential-equationsMay 11, 2026Significance 20/100Registry: unreviewed

The Jauslin-Kreiss-Moser Vanishing-Viscosity Selection Problem

Prior state unknown→disproved

VibeMathed recorded: The Jauslin-Kreiss-Moser Vanishing-Viscosity Selection Problem. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
theoretical-computer-scienceMay 29, 2026Significance 20/100Registry: unreviewed

Steurer's Conjecture on Vectors with Small Average Correlation

Prior state unknown→disproved

VibeMathed recorded: Steurer's Conjecture on Vectors with Small Average Correlation. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
probability-statisticsMay 3, 2026Significance 20/100Registry: site confirmed

Litvak's Conjecture on Gaussian Minima

Prior state unknown→disproved

the paper proposes that the cosine matrix is the true minimizer for all p and n, and proves a stronger stochastic domination statement conditional on a new volumetric extension of Fejes Toth's zone conjecture

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algebraJul 27, 2026Significance 20/100Registry: unreviewed

Infinitely Many Components in Auslander–Reiten Quivers over Perfect Fields

Prior state unknown→proved

VibeMathed recorded: Infinitely Many Components in Auslander–Reiten Quivers over Perfect Fields. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsAug 12, 2026Significance 20/100Registry: unreviewed

Strong Graph Reconstruction Conjecture

Prior state unknown→disproved

Disproves the Bowler-Brown-Fenner bound of 2*floor((n-1)/3) on common cards between nonisomorphic graphs: an explicit connected 78-vertex pair shares at least 51 cards against the predicted 50, and for every even r >= 4 there are families with overlap fraction asymptotically at least 1 - 1/r, so the attainable fraction approaches the full deck. The Kelly-Ulam reconstruction conjecture itself is untouched.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
analysisJul 29, 2026Significance 20/100Registry: unreviewed

Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes

Prior state unknown→proved

A partial result. Fuglede's conjecture remains open for finite cyclic groups generally; this settles an infinite family and, for the spectral-to-tiling direction, only under rapid growth of the prime factors.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review