Publication v7

Record details

Feige’s probability conjecture →

Coverage & review

Coverage of this curation

Original question, distinct results, proof provenance, selected history and an explanatory schematic.

Formal proofs: The pinned Lean source reports complete optimality for the unit-slack event. Deliberate challenge placeholders are separate from the solution imports. OpenMath has not built the project.

AI-assisted work: Fu, Han, Wang, Yan, Zhang and Zhou and Nie–Wei receive separate proof credits. The papers attribute different roles to GPT-5.6 Pro and GPT-5.6 Sol. Wang–Zhang’s Codex formalization is separately credited. Ling owns the later Samuels proposal; its source does not attribute a specific AI role.

Search scope & review

Selected primary papers, exact formal declarations, project provenance and official descriptions checked on 13 October 2026; Fu et al. §1.1 for the earlier lower bounds.

Checked Oct 13, 2026 · independent review pending.

  • Independent mathematical review of the cited arguments is pending.
  • Ling’s all-deviation proposal has no linked formal proof in this source selection.

General status observations

On Feige’s conjecture ↗

Unit-slack bound proved by Nie and Wei · observed Oct 13, 2026

Source status dated Jul 27, 2026 · observed Oct 13, 2026

Their separately authored proof reaches the same finite-dimensional constant.

Lean proof of the sharp unit-slack Feige bound ↗

Unit-slack optimality reported complete in Lean · observed Oct 13, 2026

Source status date unavailable · observed Oct 13, 2026

The pinned source targets δ = 1 only; no general-δ formal proof is attributed to it.

Source identities & rights

Sharp small-deviation inequalities for sums of independent nonnegative random variables ↗

Weibo Fu, Yanjun Han, Guanyang Wang, Jun Yan, Peng Zhang, Zhengqing Zhou · 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

2 cited entries · exact source identity
Version
feige-conjecture:source:fu:v1
Revision
2026-07-27
Content SHA-256
29b7a68622eee0c46a86dc6e712c47e66e7b1821fd23255af9fe878f6957c842
Source update
Unavailable
Observed
2026-10-13
Check cadence
90 days

On Feige’s conjecture ↗

Zipei Nie, Jiaye Wei · 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
feige-conjecture:source:nie:v1
Revision
2026-07-27
Content SHA-256
e579dbffa9befce4f0094a587e7037bfd1fd45bd89de69c1298b6d146135114f
Source update
Unavailable
Observed
2026-10-13
Check cadence
90 days

On Samuels’ Conjecture ↗

Zhi Ling · 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
feige-conjecture:source:ling:v1
Revision
2026-08-18
Content SHA-256
bc0ac69664c21b2508d3bdcefc4391b37d5b2a949d5eddb8beab4e89e7daef99
Source update
Unavailable
Observed
2026-10-13
Check cadence
90 days

Lean proof of the sharp unit-slack Feige bound ↗

Guanyang Wang, Peng 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
feige-conjecture:source:lean:v1
Revision
19c61d6cb556d1e967dbb0ada9f293c290837867
Content SHA-256
61807ad8500eca72545c86ad34ae2e3569bff83f713d1251b97b19b59e425ec1
Source update
Unavailable
Observed
2026-10-13
Check cadence
90 days

Publication history

Problem ID
problem-feige-conjecture
Publication checksum
8079448b1b10689169b873e1935b99cdc335dee96fbf4959c66df78b720ea5fd
Published
2026-10-21T11:59:54.870607+00:00
Publication reason
Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.
  1. Version 1 · Oct 13, 2026

    Source-linked pilot import; independent mathematical review remains pending.

  2. Version 2 · Oct 13, 2026

    Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.

  3. Version 3 · Oct 13, 2026

    Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.

  4. Version 4 · Oct 13, 2026

    Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.

  5. Version 5 · Oct 14, 2026

    Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.

  6. Version 6 · Oct 15, 2026

    Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.

  7. Version 7 · 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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