Source authenticated

Spahn and Zeilberger's Third Challenge: Holonomicity of the Restricted Permutation Counts

Spahn and Zeilberger's third challenge asks whether the restricted permutation counts $a_{r,s}$ and $b_{r,s}$ are holonomic for all $r, s > 1$. Answered affirmatively.

Exact FrontierDelta

Prior state unknown→proved

Scope and record

Occurred: Aug 11, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Spahn and Zeilberger's Third Challenge: Holonomicity of the Restricted Permutation Counts · Spahn–Zeilberger holonomicity

Confidence: Not scored

Registry verification: unreviewed · preprint · candidate

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

Jaideep Sai Padhi
human · human collaborator

Claude
model · ai model contributor · Anthropic

Evidence vector

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

Named evidence

VibeMathed record: Spahn and Zeilberger's Third Challenge: Holonomicity of the Restricted Permutation Counts

specialist registry · passed

Checked by this site on 21 August 2026 against the paper (arXiv:2608.11290v2): the division of labour is verbatim as quoted, all five challenges are reported fully solved, and two further problems are reported only partial and are NOT entered here. The paper states a four-principle verification protocol that distinguishes proved, machine-verified and supported claims, and ships code and verification scripts. Those scripts were not re-run here. Days-old preprint, no independent review.

Source ↗

The Five-Dimensional Geode Challenge of Amdeberhan, Kauers and Zeilberger

preprint · pending

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

Source ↗

Lineage and corrections

This event attributed to Jaideep Sai Padhi

This event attributed to Claude

Act on this frontier

Verify, challenge, or extend the result.

Help verify Open canonical problem