Coverage & review
Coverage of this curation
Original question, distinct results, proof provenance, selected history and an explanatory schematic.
Formal proofs: No linked formal proof project for the full KLS theorem was found in these primary sources. The October proposals remain under assessment; publication and model checks are not independent validation.
AI-assisted work: Song–Zhang and Bizeul–Klartag–Lehec own separate manuscripts. Their AI disclosures assign models proof exploration, ideas and checking; the authors retain mathematical responsibility. Bizeul–Klartag–Lehec explicitly use a Song–Zhang criterion, which is kept visible as a dependency.
Search scope & review
Selected primary papers, exact formal declarations, project provenance and official descriptions checked on 13 October 2026.
Checked Oct 13, 2026 · independent review pending.
- Independent mathematical assessment of both current proposals is pending.
- No full-theorem formal proof was found in the selected primary sources.
- Exact numerical universal constants and a comprehensive earlier-bound history are not supplied by this curated reader.
General status observations
Uniform bound proposed by Song and Zhang in revision two · observed Oct 13, 2026
Source status dated Oct 4, 2026 · observed Oct 13, 2026
The later manuscript proposes a constant independent of dimension; independent mathematical assessment is pending.
Uniform bound proposed by Bizeul, Klartag and Lehec · observed Oct 13, 2026
Source status dated Oct 4, 2026 · observed Oct 13, 2026
Theorem 1.1 asserts a universal Poincaré bound. No formal execution or independent mathematical assessment is recorded here.
Source identities & rights
Zhao Song, Xinzhi Zhang · metadata-link · Original source license and document rights apply.
OpenMath supplies its own mathematical paraphrases and links; proof text is not republished. Rights / source terms
1 cited entry · exact source identity
- Version
- kls-conjecture:source:song:v1
- Revision
- arXiv:2610.01447v1
- Content SHA-256
- 11ded7a039724f1c925273968ead3ff1695e3161f11df5f40db7ee50ff1c1355
- Source update
- Unavailable
- Observed
- 2026-10-13
- Check cadence
- 90 days
Zhao Song, Xinzhi Zhang · metadata-link · Original source license and document rights apply.
OpenMath supplies its own mathematical paraphrases and links; proof text is not republished. Rights / source terms
1 cited entry · exact source identity
- Version
- kls-conjecture:source:song:v2
- Revision
- arXiv:2610.01447v2
- Content SHA-256
- c69ea9c264ec83518df1ee205443fa54efe647c3c175344cbe5c75d7d091ce3d
- Source update
- Unavailable
- Observed
- 2026-10-13
- Check cadence
- 90 days
Pierre Bizeul, Boaz Klartag, Joseph Lehec · metadata-link · Original source license and document rights apply.
OpenMath supplies its own mathematical paraphrases and links; proof text is not republished. Rights / source terms
1 cited entry · exact source identity
- Version
- kls-conjecture:source:bkl:v1
- Revision
- 2026-10-04
- Content SHA-256
- fb51ab0d94171ac7de2a3009efb5249e44ee66de5c9a1dc5899bdb843de29df9
- Source update
- Unavailable
- Observed
- 2026-10-13
- Check cadence
- 90 days
Publication history
- Problem ID
- problem-kls-conjecture
- Publication checksum
- 54d34b4c02870e900010fac5b1afb6f6dc62f4e6c3177aa47edfdef76940ffc6
- Published
- 2026-10-14T09:35:12.670352+00:00
- Publication reason
- Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.
- Version 1 · Oct 13, 2026
Source-linked pilot import; independent mathematical review remains pending.
- Version 2 · Oct 13, 2026
Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.
- Version 3 · Oct 13, 2026
Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.
- Version 4 · Oct 14, 2026
Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.
- Version 5 · Oct 21, 2026
Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.
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