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

proved→proved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: lean-verified. Publication: preprint. AI contribution: ai-discovered. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.

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 Pro
model · ai model contributor · OpenAI / Anthropic

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

Claude Opus 5
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

Artifacts and verifiers

Lean 4 formalization of all seven bounds

lean artifact · passed

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

Corrects Record Lower Bounds for the Shannon Capacity of Odd Cycles →

Supersedes Record Lower Bounds for the Shannon Capacity of Odd Cycles →

Record Lower Bounds for the Shannon Capacity of Odd Cycles parent of this event

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

VibeMathed record: Record Lower Bounds for the Shannon Capacity of Odd Cycles evidence for this event

Record Lower Bounds for the Shannon Capacity of Odd Cycles evidence for this event

Current record, Lean-verified (Buys, Polak, Zuiddam), arXiv:2607.29681 evidence for this event

Lean 4 formalization of all seven bounds evidence for this event

Intermediate C7 record by recursive construction (Gao), arXiv:2607.27869 evidence for this event

This event attributed to ChatGPT 5.6 Sol Pro

This event attributed to ChatGPT 5.6 Sol

This event attributed to Claude Opus 5

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 Daniel Reichman

Act on this frontier

Verify, challenge, or extend the result.

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