Open registry federation

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.

combinatoricsAug 13, 2026Significance 5/100Registry: site confirmed

Nineteen exact reflective and dihedral Ramsey numbers from Damnjanovic-Dordevic's tables

Prior state unknown→proved

Nineteen individual exact values, each decided by SAT certificate: unsatisfiable at the claimed nn, witnessed satisfiable at n−1n-1. They close cells in DD26's Tables 3-13 but settle no infinite family - the sibling entries do that for the KK column. The three overlap cells are Rdih(P4alt,K6)=16R_{dih}(P_4^{alt},K_6)=16, Rdih(P3alt,K9)=17R_{dih}(P_3^{alt},K_9)=17 and Rdih(P9alt,K3)=17R_{dih}(P_9^{alt},K_3)=17, each an instance of a sibling theorem; the remain…

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsMay 21, 2026Significance 5/100Registry: lean verified

Written on the Wall II, Graph Conjecture 2

Prior state unknown→proved

VibeMathed recorded: Written on the Wall II, Graph Conjecture 2. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJul 8, 2026Significance 5/100Registry: unreviewed

Kurkov's Fubini-Number Sum Conjecture

Prior state unknown→proved

VibeMathed recorded: Kurkov's Fubini-Number Sum Conjecture. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJul 22, 2026Significance 5/100Registry: unreviewed

Graffiti Conjecture 284

Prior state unknown→disproved

VibeMathed recorded: Graffiti Conjecture 284. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJul 29, 2026Significance 5/100Registry: unreviewed

Written on the Wall II, Conjecture 284

Prior state unknown→disproved

VibeMathed recorded: Written on the Wall II, Conjecture 284. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsMay 18, 2026Significance 5/100Registry: unreviewed

Polylogarithmic Full-Chord Buffon Discrepancy

Prior state unknown→proved

This settles Steinerberger's third open question and separates the two models: in the disk, full chords cost you a factor growing like log⁡L\log L over what is achievable without the restriction. It also improves the Steinhaus-type O(L1/3)O(L^{1/3}) to polylogarithmic within the full-chord class. It does not settle the Buffon discrepancy problem itself. Steinerberger's first question - whether every convex body admits a se…

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsAug 3, 2026Significance 5/100Registry: lean verified

Written on the Wall II, Graph Conjecture 144

Prior state unknown→proved

The Formal Conjectures pull request flipping this from open to solved is still open rather than merged, so the canonical repository has not yet accepted it.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsAug 12, 2026Significance 5/100Registry: site confirmed

Dihedral and cyclic Ramsey numbers of the alternating 3-path

Prior state unknown→proved

The a = 3 slice is settled outright. The parent conjecture's dihedral side has since been resolved for every a >= 4 as well (see the related entry), so Conjecture 4.9's claim 1 + (a-1)(b-1) now stands proved for all a >= 3; the trivial a = 1, 2 cases and the cyclic analogue for a >= 4 remain formally unaddressed.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJun 12, 2026Significance 5/100Registry: unreviewed

TxGraffiti-Davila Conjecture 9

Prior state unknown→disproved

VibeMathed recorded: TxGraffiti-Davila Conjecture 9. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJun 12, 2026Significance 5/100Registry: unreviewed

Koch-Narayan Conjecture 1

Prior state unknown→disproved

VibeMathed recorded: Koch-Narayan Conjecture 1. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
geometry-topologyJul 29, 2026Significance 5/100Registry: unreviewed

Positivity on Deligne–Mumford Stacks Without the Torsion-Free Hypothesis

Prior state unknown→proved

VibeMathed recorded: Positivity on Deligne–Mumford Stacks Without the Torsion-Free Hypothesis. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJul 31, 2026Significance 5/100Registry: lean checked

The Han-Xiong Integer Trace Conjecture

Prior state unknown→proved

Settles the conjecture for a large family and reduces the rest to unit fractions; the general unit-fraction case remains open.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJul 23, 2026Significance 5/100Registry: site confirmed

WOWII Conjecture 72: Two induced trees pin down tree(G G )

Prior state unknown→proved

The evenly-divided reading of WOWII Conjecture 72 holds: ⌈(A+L)/3⌉≤t, \lceil(A + L)/3\rceil \le t, where t= t = tree(G G ) (order of a largest induced tree), A= A = average eccentricity and L= L = maximum neighbourhood independence number. A stronger reading that divides only L L by three is false. The argument rests on two elementary observations (a diametral path is chordless and therefore induces a tre…

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJun 12, 2026Significance 5/100Registry: unreviewed

Graffiti Conjecture 143

Prior state unknown→disproved

VibeMathed recorded: Graffiti Conjecture 143. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
geometry-topologyJun 11, 2026Significance 5/100Registry: unreviewed

IRIS Conjecture 6.1 on Simple 3-Polytopes

Prior state unknown→disproved

VibeMathed recorded: IRIS Conjecture 6.1 on Simple 3-Polytopes. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algorithms-optimizationSep 4, 2026Significance 4/100Registry: unreviewed

Exact SSUF scenario-count ladder on the four-terminal planar gadget

proved→proved

Fixed four-terminal planar DAG; positive route-cost differences for m≥2, with non-attained suprema; signed/zero only for m=1, whose attainment is unstated. No topology-wide/unrestricted-planar claim.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
analysisAug 14, 2026Significance 4/100Registry: site confirmed

Lorist-Schwenninger Remark 2 positivity question

Prior state unknown→disproved

Nothing in the paper's proof is affected. At the witness, inequality (4) holds with slack +27.0, inequality (5) holds with equality (f is inner), and the theorem itself holds with slack 2 - kappa = +0.80. Only the shortcut Remark 2 floats is refuted.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsAug 26, 2026Significance 4/100Registry: site confirmed

An Exact All-Width Plateau for the Three-Summand Tu-Deng Count modulo 2k−12^k-1

Prior state unknown→proved

Answered in full: for every k≥4k\ge4, a target with exactly two nonadjacent zero digits has Fk(t)=(k+23)3k−4F_k(t)=(k+23)3^{k-4}, independently of the distance between the zeros. Exact at every width, no error term, no hypothesis on kk (Theorem 1.1). This is an evaluation, not an extremal result, and the paper is explicit about the difference: the plateau value is not maximal. At k=12k=12 it reads 35⋅38=229,63535\cdot3^8=229{,}635 while…

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review