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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 2, 2026Significance 15/100Registry: unreviewed

North-East Lattice Paths with Few Collinear Vertices

Prior state unknown→proved

Both bounds move, and the gap stays enormous: the lower bound rises from exp⁡(Ω(log⁡2k))\exp(\Omega(\log^2 k)) to exp⁡(Ω(k1/3))\exp(\Omega(k^{1/3})) and the upper falls from exp⁡(O(k4))\exp(O(k^4)) to exp⁡(O(k2))\exp(O(k^2)), so A(k)A(k) is still undetermined between an exponent of k1/3k^{1/3} and one of k2k^2. The paper's own closing discussion argues its lower-bound construction is near the limit of the method and that beating it needs additional randomness,…

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algorithms-optimizationJun 16, 2026Significance 15/100Registry: unreviewed

The Yun-Sra-Jadbabaie SS-RS-GD Inequalities

Prior state unknown→proved

VibeMathed recorded: The Yun-Sra-Jadbabaie SS-RS-GD Inequalities. Consult the linked registry entry for the original report and scope.

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

The Modified Lyons–Sidorova Conjecture for Bounded-Variation Paths

Prior state unknown→proved

This is the MODIFIED conjecture, not the original Lyons-Sidorova one, and it is proved for continuous bounded-variation paths. Prior work had a line-image result under the stronger assumption of infinite radius on every subinterval; this removes that assumption.

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

Baker's Question on Smooth Hyperplane Sections over Finite Fields

Prior state unknown→disproved

VibeMathed recorded: Baker's Question on Smooth Hyperplane Sections over Finite Fields. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algorithms-optimizationAug 7, 2026Significance 15/100Registry: unreviewed

Facial Distance Patterns in Planar Graphs

Prior state unknown→proved

Three immediate consequences follow for undirected unweighted planar graphs: better compression of the Okamura-Seymour metric, less space for constant-time exact distance oracles, and a faster distributed algorithm.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
geometry-topologyJun 30, 2026Significance 15/100Registry: unreviewed

Ziegler's Cross-Polytope Conjecture (simplicial 0/1-polytopes)

Prior state unknown→disproved

VibeMathed recorded: Ziegler's Cross-Polytope Conjecture (simplicial 0/1-polytopes). Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algebraJul 23, 2026Significance 15/100Registry: unreviewed

The Liu-Morin Extension Conjecture

Prior state unknown→proved

Han's conjecture itself remains open; this settles the Liu-Morin extension case

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsMay 8, 2026Significance 15/100Registry: unreviewed

The Escobar-Klein-Weigandt Conjecture on Cohen-Macaulay ASM Varieties

Prior state unknown→proved

VibeMathed recorded: The Escobar-Klein-Weigandt Conjecture on Cohen-Macaulay ASM Varieties. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algorithms-optimizationAug 3, 2026Significance 15/100Registry: unreviewed

The Axiotis-Sviridenko Condition-Number Conjecture

Prior state unknown→proved

Conditional on the randomized exact-volume Small-Set Expansion Hypothesis, and stated for least-squares objectives rather than sparse convex optimization in general.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsAug 12, 2026Significance 15/100Registry: unreviewed

Treglown's equitable acyclic colouring conjecture

Prior state unknown→proved

The honest reading, which the paper gives itself: the reduction is implicit in earlier work of Aboulker, Oijid, Petit, Rocton and Simon, and the model itself surfaced that reference when asked about originality. So this establishes the conjecture and supplies a polynomial-time algorithm, while the underlying idea is a rediscovery rather than a first. It is a striking record of a model producing an argument and then…

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

Oracle-Complexity Gap in Derivative-Free Convex Optimization

Prior state unknown→proved

VibeMathed recorded: Oracle-Complexity Gap in Derivative-Free Convex Optimization. Consult the linked registry entry for the original report and scope.

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

Reading's Problem 9.3: Order Dimension Versus Rank for Simplicial Arrangements

Prior state unknown→disproved

VibeMathed recorded: Reading's Problem 9.3: Order Dimension Versus Rank for Simplicial Arrangements. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
geometry-topologyJul 4, 2026Significance 15/100Registry: unreviewed

K-Polystable Toric Fano Varieties With Small Alpha Invariants

Prior state unknown→proved

VibeMathed recorded: K-Polystable Toric Fano Varieties With Small Alpha Invariants. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
theoretical-computer-scienceJul 18, 2026Significance 15/100Registry: unreviewed

Online Spencer Vector-Balancing Question

Prior state unknown→proved

VibeMathed recorded: Online Spencer Vector-Balancing Question. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
probability-statisticsJun 30, 2026Significance 15/100Registry: unreviewed

Bertoin-Yor Moment Determinacy Conjecture

Prior state unknown→proved

VibeMathed recorded: Bertoin-Yor Moment Determinacy Conjecture. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
quantum-information-computingAug 4, 2026Significance 15/100Registry: unreviewed

Perfectly Complete Quantum Key Agreement from One-Way Functions

Prior state unknown→proved

VibeMathed recorded: Perfectly Complete Quantum Key Agreement from One-Way Functions. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review