Source authenticated

Upper Bounds for High-Dimensional Sphere Packing

upper bounds reach the Cohn-Elkies threshold; the true asymptotic density remains open

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. Editorial metadata: CC BY 4.0; linked content retains its own rights.

Canonical aliases: Upper Bounds for High-Dimensional Sphere Packing · Sphere packing bounds

Confidence: Not scored

Registry verification: lean verified · announcement · partial

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

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

Artifacts and verifiers

Lean certificate (SpherePacking.lean)

lean artifact · passed

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

This event attributed to Astra (internal preview)

Lean certificate (SpherePacking.lean) evidence for this event

VibeMathed record: Upper Bounds for High-Dimensional Sphere Packing evidence for this event

Quantum Parallel Repetition evidence for this event

Upper Bounds for High-Dimensional Sphere Packing parent of this event

Reasoning walkthroughs (PDF) evidence for this event

upper bounds reach the Cohn-Elkies threshold; the true asymptotic density remains open parent of this event

Manuscripts (ten-proofs paper, PDF) evidence for this event

Act on this frontier

Verify, challenge, or extend the result.

Upper Bounds for High-Dimensional Sphere Packing — Mathematical Frontier Network