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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.

number-theoryJun 21, 2026Significance 10/100Registry: unreviewed

Zhi-Wei Sun's Conjecture 3.4 on a Truncated Legendre-Symbol Determinant

Prior state unknown→proved

VibeMathed recorded: Zhi-Wei Sun's Conjecture 3.4 on a Truncated Legendre-Symbol Determinant. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
probability-statisticsApr 20, 2026Significance 10/100Registry: unreviewed

Erdős Problem #522

Prior state unknown→proved

VibeMathed recorded: Erdős Problem #522. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJun 4, 2026Significance 10/100Registry: unreviewed

Erdős Problem #623

Prior state unknown→proved

Resolved (if correct) by an independence result rather than a proof or disproof in ZFC: consistency of the positive answer is equivalent to a measurable cardinal, of the negative to ZFC alone

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
number-theoryJun 23, 2026Significance 10/100Registry: unreviewed

Erdos Problem #768

Prior state unknown→proved

VibeMathed recorded: Erdos Problem #768. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algebraJul 22, 2026Significance 10/100Registry: unreviewed

Stability Radius of the Lamplighter Group

Prior state unknown→proved

VibeMathed recorded: Stability Radius of the Lamplighter Group. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algorithms-optimizationAug 11, 2026Significance 10/100Registry: unreviewed

Lower Bounds for Stepsize-Based Acceleration of Gradient Descent

Prior state unknown→proved

Recorded as partial: the bound is Omega(T^-1.9319) against an achievable O(T^-1.2716), so it rules out reaching the optimal rate without pinning down the true one.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
probability-statisticsJul 3, 2026Significance 10/100Registry: unreviewed

Signed BAR Conjecture for Reflected Brownian Motion

Prior state unknown→proved

uniqueness proved for stable Harrison-Reiman systems with a nonsingular M-matrix reflection; an infinite-dimensional obstruction is shown in the larger completely-S class

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
number-theoryApr 30, 2026Significance 10/100Registry: unreviewed

Erdős Problem #1201

Prior state unknown→proved

As Tao notes on the problem page, the claim establishes natural LOWER density at least 1-eta but not that the natural density exists, so the problem as stated remains technically open

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
theoretical-computer-scienceJul 28, 2026Significance 10/100Registry: unreviewed

The 4^k Barrier for the k-Distinct Language

Prior state unknown→proved

VibeMathed recorded: The 4^k Barrier for the k-Distinct Language. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
number-theoryMay 2, 2026Significance 10/100Registry: unreviewed

Erdős Problem #870

Prior state unknown→disproved

A total refutation is claimed for all k>=3, building on the Larsen-Larsen resolution of problem #868; erdosproblems.com still lists the problem open

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
geometry-topologyApr 27, 2026Significance 10/100Registry: unreviewed

Erdős Problem #953

Prior state unknown→proved

VibeMathed recorded: Erdős Problem #953. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algorithms-optimizationAug 6, 2026Significance 10/100Registry: unreviewed

Balanced EF1 and fPO Allocations

Prior state unknown→proved

The paper records how the collaboration actually went: the authors first aimed at a counterexample showing EF1 and PO incompatible under matroid constraints, and when the model surfaced fundamental difficulties with that plan they redirected toward proving the positive result instead. The paper also extends the technique to category constraints and leaves a pseudopolynomial-time algorithm open.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
number-theoryJun 24, 2026Significance 10/100Registry: unreviewed

Erdos Problem #1061

Prior state unknown→disproved

VibeMathed recorded: Erdos Problem #1061. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
number-theoryJun 1, 2026Significance 10/100Registry: unreviewed

Erdős Problem #477

Prior state unknown→proved

VibeMathed recorded: Erdős Problem #477. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
analysisApr 21, 2026Significance 10/100Registry: unreviewed

Erdős Problem #996

Prior state unknown→disproved

Answered negatively in a preprint that also settles the p=2 case of problem #995; erdosproblems.com still lists the problem open

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
combinatoricsJul 13, 2026Significance 10/100Registry: unreviewed

Erdős Problem #1186

Prior state unknown→proved

exact k = 3 constant established, settling the Parrilo-Robertson-Saracino conjecture for 3-APs; general k remains open

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
differential-equationsApr 21, 2026Significance 10/100Registry: unreviewed

Sharp Convergence Rates for Viscous Hamilton-Jacobi Homogenization

Prior state unknown→proved

VibeMathed recorded: Sharp Convergence Rates for Viscous Hamilton-Jacobi Homogenization. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
number-theoryApr 27, 2026Significance 10/100Registry: unreviewed

Erdős Problem #1101

Prior state unknown→proved

a subexponential good sequence is constructed; the polynomial-growth question remains open

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review