Ehrhart's Volume Conjecture

What is the maximum volume of a convex body in $\mathbb{R}^n$ whose centroid is its only interior lattice point? Ehrhart conjectured the extremal value in 1964; the sharp maximum is now determined in every dimension.

Exact FrontierDelta

Prior state unknown→proved

Scope and record

Occurred: Aug 1, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: lean-verified. Publication: announcement. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: Ehrhart's Volume Conjecture · Ehrhart volume

Confidence: Not scored

Registry verification: lean verified · announcement · candidate

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

Astra (internal preview)
model · ai model contributor · OpenAI

Evidence vector

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

Named evidence

VibeMathed record: Ehrhart's Volume Conjecture

specialist registry · passed

Kernel-checked Lean 4 certificate in OpenAI's public ten-proofs repository (Lean 4.32, mathlib, `lake build All`), with an independent Comparator checking route. Statement fidelity and community review of the day-old company announcement remain pending, hence candidate status.

Source ↗

Lean certificate (EhrhartVolumeInequality.lean)

lean artifact · passed

lean-proof link supplied by the VibeMathed registry.

Source ↗

Quantum Parallel Repetition

witness · pending

Primary source named by the VibeMathed record. Presence in this import is not an independent mathematical verification.

Source ↗

Manuscripts (ten-proofs paper, PDF)

paper · pending

paper link supplied by the VibeMathed registry.