Publication v4

Record details

Strong log-concavity of the Chernoff density →

Coverage & review

Coverage of this curation

Canonical question, exact result scopes, proof evidence, contributors, history and explanatory examples.

Formal proofs: No complete proof-assistant artifact was identified in the selected sources. The analytic manuscript and author checking are cited separately from independent mathematical assessment.

AI-assisted work: The final corrected proof, human checking and literature attribution are self-reported; an initial failed model attempt is not presented as mathematical evidence.

Search scope & review

Selected primary manuscript versions and their cited original literature, checked on 14 October 2026. This is not an exhaustive literature review.

Checked Oct 14, 2026 · independent review pending.

  • Independent OpenMath mathematical review and external proof execution remain pending.
  • The sharper origin-minimum curvature conjecture is not resolved by the selected theorem; later literature has not been exhaustively assessed.

General status observations

Chernoff’s Density Is Strongly Log-Concave ↗

Strong log-concavity proved in the selected preprint · observed Oct 14, 2026

Source status dated Jul 21, 2026 · observed Oct 14, 2026

Standard two-sided Brownian motion with unit quadratic drift; no explicit optimal uniform constant is asserted.

Source identities & rights

Chernoff’s density is log-concave ↗

Fadoua Balabdaoui, Jon A. Wellner · metadata-link · Source document rights apply; OpenMath publishes original paraphrases.

Linked proof prose is not republished. Any copied graph data is CC0, as specified by its archive. Rights / source terms

2 cited entries · exact source identity
Version
chernoff-density:source:original:v1
Revision
v2
Content SHA-256
No upstream byte snapshot retained; linked metadata only
Source update
Unavailable
Observed
2026-10-14
Check cadence
90 days

Chernoff’s Density Is Strongly Log-Concave ↗

Xianyang Zhang, Quan Zhou · metadata-link · Source document rights apply; OpenMath publishes original paraphrases.

Linked proof prose is not republished. Any copied graph data is CC0, as specified by its archive. Rights / source terms

2 cited entries · exact source identity
Version
chernoff-density:source:paper:v1
Revision
v1
Content SHA-256
0929362634e98d635b7e7df132bbfc8b741d55b625f47df0162a54f395830a0c
Source update
Unavailable
Observed
2026-10-14
Check cadence
90 days

Publication history

Problem ID
problem-chernoff-density
Publication checksum
7d637915df97300a97acabf4d2dea08f2420845ad03d1c0faf84489e9e9742d8
Published
2026-10-14T15:07:22.743423+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 14, 2026

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

  2. Version 2 · Oct 14, 2026

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

  3. Version 3 · Oct 14, 2026

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

  4. Version 4 · Oct 14, 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 14, 2026

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

  7. Version 7 · Oct 15, 2026

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

  8. Version 8 · 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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