Source authenticated

Record Lower Bounds for the Shannon Capacity of Odd Cycles

record lower bounds for seven odd cycles; the exact capacities remain open for every odd cycle beyond C5

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jul 31, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Record Lower Bounds for the Shannon Capacity of Odd Cycles · Shannon capacity records

Confidence: Not scored

Registry verification: lean verified · preprint · partial

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

ChatGPT 5.6 Sol
model · ai model contributor · OpenAI / Anthropic

Pjotr Buys
human · human collaborator

Sven Polak
human · human collaborator

Jeroen Zuiddam
human · human collaborator

Yu Gao
human · human collaborator

Nathaniel Itty
human · human collaborator

Christopher D. Rosin
human · human collaborator

Chase Carstensen
human · human collaborator

Daniel Reichman
human · human collaborator

Claude Opus 5
model · ai model contributor · OpenAI / Anthropic

ChatGPT 5.6 Sol Pro
model · ai model contributor · OpenAI / Anthropic

Artifacts and verifiers

Lean 4 formalization of all seven bounds

lean artifact · passed

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

This event attributed to Daniel Reichman

This event attributed to Pjotr Buys

This event attributed to Sven Polak

This event attributed to Jeroen Zuiddam

This event attributed to Yu Gao

This event attributed to Nathaniel Itty

This event attributed to Christopher D. Rosin

This event attributed to Chase Carstensen

This event attributed to ChatGPT 5.6 Sol Pro

This event attributed to Claude Opus 5

This event attributed to ChatGPT 5.6 Sol

Act on this frontier

Verify, challenge, or extend the result.

Record Lower Bounds for the Shannon Capacity of Odd Cycles — Mathematical Frontier Network