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Mathematical findings

432 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.

combinatoricsJul 3, 2026Significance 15/100Registry: unreviewed

The Tree Product Conjecture

Prior state unknown→disproved

disproved at d = 4; the conjecture for smaller d is untouched

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsAug 11, 2026Significance 15/100Registry: unreviewed

Spahn and Zeilberger's Third Challenge: Holonomicity of the Restricted Permutation Counts

Prior state unknown→proved

VibeMathed recorded: Spahn and Zeilberger's Third Challenge: Holonomicity of the Restricted Permutation Counts. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
theoretical-computer-scienceApr 8, 2026Significance 15/100Registry: unreviewed

Exhaustive AdaBoost Cycling Question

Prior state unknown→disproved

VibeMathed recorded: Exhaustive AdaBoost Cycling Question. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJul 21, 2026Significance 15/100Registry: unreviewed

Pak-Slonim Conjecture on Stretched Schubert Structure Constants

Prior state unknown→proved

VibeMathed recorded: Pak-Slonim Conjecture on Stretched Schubert Structure Constants. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
theoretical-computer-scienceJul 20, 2026Significance 15/100Registry: unreviewed

Completeness of Canonical Closure Representations Is coNP-Complete

Prior state unknown→proved

VibeMathed recorded: Completeness of Canonical Closure Representations Is coNP-Complete. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJul 28, 2026Significance 15/100Registry: unreviewed

Stanley's Problem 4 on Differential Posets

Prior state unknown→disproved

VibeMathed recorded: Stanley's Problem 4 on Differential Posets. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJul 29, 2026Significance 15/100Registry: unreviewed

Mixed Partition Functions and Exponentially Bounded Edge-Connection Rank

Prior state unknown→proved

VibeMathed recorded: Mixed Partition Functions and Exponentially Bounded Edge-Connection Rank. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
quantum-information-computingJun 12, 2026Significance 15/100Registry: unreviewed

The Quantum Pyramids Conjecture

Prior state unknown→proved

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

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
analysisJul 19, 2026Significance 15/100Registry: unreviewed

The Toroidal Elton–Odell Theorem

Prior state unknown→proved

VibeMathed recorded: The Toroidal Elton–Odell Theorem. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
mathematical-physicsJul 22, 2026Significance 15/100Registry: unreviewed

Spectral Edge of the Quartic SYK Model

Prior state unknown→proved

VibeMathed recorded: Spectral Edge of the Quartic SYK Model. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algorithms-optimizationAug 14, 2026Significance 15/100Registry: unreviewed

Convergence of Three-Block ADMM with Identity Third Block

Prior state unknown→disproved

VibeMathed recorded: Convergence of Three-Block ADMM with Identity Third Block. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algorithms-optimizationMay 31, 2026Significance 15/100Registry: unreviewed

The Thin Matching Problem

Prior state unknown→proved

up to polylogarithmic factors

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
geometry-topologyJul 29, 2026Significance 15/100Registry: unreviewed

Optimal Partial Plank Coverings

Prior state unknown→proved

VibeMathed recorded: Optimal Partial Plank Coverings. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
number-theoryJul 31, 2026Significance 14/100Registry: unreviewed

Improved integrality of Donaldson–Thomas invariants of loop quivers (GKS Conjecture 1.3 for twist knots)

Prior state unknown→proved

The sharp valuation bounds and optimal γ(m)\gamma(m) are proved for ALL loop quivers m≥2m\ge2, hence for the extremal BPS invariants of all twist knots (both rows, matching every twist-knot entry of GKS Table 1). Scope limits: the m=3m=3/figure-eight divisibility 2nr/r∈Z2n_r/r\in\mathbb Z was previously proved by Basor–Conrey–Morrison (arXiv:1703.00990), whose per-rr 22-adic characterization for m=3m=3 is finer than the uni…

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsAug 11, 2026Significance 14/100Registry: unreviewed

The Five-Dimensional Geode Challenge of Amdeberhan, Kauers and Zeilberger

Prior state unknown→proved

VibeMathed recorded: The Five-Dimensional Geode Challenge of Amdeberhan, Kauers and Zeilberger. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJun 23, 2026Significance 13/100Registry: unreviewed

Erdos Problems #593 and #1177

Prior state unknown→proved

settles two numbered Erdos problems at once

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geometry-topologyAug 17, 2026Significance 12/100Registry: unreviewed

A 32-leaf tree requiring six coordinates for an isometric ℓ∞\ell_\infty embedding

Prior state unknown→disproved

Disproved. An explicit 32-leaf tree has least isometric ℓ∞\ell_\infty-dimension six, not the conjectured five, and keeps dimension six under every assignment of positive edge lengths, so the weighted sharp-threshold conjecture falls too. Every tree with at most 31 leaves does attain ⌈log⁡2t⌉\lceil \log_2 t \rceil, so 32 is the first failure; Brigham et al. had checked through 21. The proof is finite and exact: six explici…

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review