Formal evidence
No public review decision is displayed for this gate.
Lean evidence record
Sendov's Conjecture: Lean evidence
This technical record binds the exact theorem statement to its commit-pinned Lean source, checker results, assumptions, and publication-review status.
Lean buildpassed
Unfinished proof stepsNone
Accepted-result publicationPending
Exact recorded Lean statement
The declaration this evidence supports
theorem sendov_conjecture : SendovConjectureLine counts exclude blank lines; comments and documentation count. The total is the commit-pinned first-party Lean import closure; Mathlib and other third-party dependencies are excluded.
Technical evidence record
Source identity, checker results, and assumptions
- Main Lean declaration
sendov_conjecture- Source commit
f8b71644c02b
Mechanical evidence
Lean verification
These fields support the exact Lean declaration, not a broader informal claim.
Why ProofAtlas acceptance is still pending: the supplied release audit records a successful one-worker rehash build, no unfinished proof commands, and the reported axiom closure. It does not retain the complete command/output transcript and clean-source collection record required for accepted-result status.
- Artifact ID
artifact.sendov.conjecture.lean-package.v001- Declarations covered by recorded evidence
Sendov.sendov_conjecture- Lean build
- passed
- Recorded build time
- Not retained in the supplied release audit
- Unfinished proof check
- passed
- Lean toolchain
leanprover/lean4:v4.30.0-rc2- Recorded source commit
f8b71644c02bf16d8e9f7e183428ac2d4b0f6bf1- Source SHA-256
sha256:8d11960bfa4f2c341e2fce83917271031b9885a9be68ffedef986bc075fc8c09- Statement alignment
- not reviewed
Lean foundations
Standard foundations used by the proof
Lean reports the logical foundations below through Mathlib. They are standard proof-system foundations, not conjectural mathematical assumptions about this theorem. The recorded closure stays within the approved classical_mathlib_standard profile, with no unexpected axiom or unfinished-proof placeholder.
Classical.choiceQuot.soundpropext
Files and machine-readable evidence
Reproduce or inspect the recorded check
Use the complete first-party source bundle for reconstruction, or inspect the exact main file and checker evidence separately. Mathlib and other third-party dependencies are identified but not rebundled.
Review results
Public review decisions
Accepted-result publication remains pending. This public release is not presented as a ProofAtlas accepted result; that does not establish which individual reviews are unfinished.
These are publicly visible recorded decisions for the named subjects, not a new review of this page. A decision not displayed here is not evidence that its review is unfinished. Individual decisions do not establish public accepted-result status.
Statement alignment
No public review decision is displayed for this gate.
Result boundary
No public review decision is displayed for this gate.
Public wording
No public review decision is displayed for this gate.
Credit for this release
Contributors and roles
Authorship and other contributions are recorded separately for this version.
Contributions
- Direct contributionOpenAI GPT-5.6 Pro
OpenAI GPT-5.6 Pro contributed to exploration, proof development, exact computational testing, adversarial auditing, and exposition.
- Computation
- Exposition
- Gap or error discovery
- Proof strategy
- Direct contributionLech Mazur
Lech Mazur is the sole named manuscript author, accountable curator, workflow designer, and reconciler of model outputs.
- Exposition
- Research direction
- Source maintenance
Selected reviews
Review record
Each entry names the review question, exact subject coverage, and reviewer provenance recorded for this release. A selected review concerns only its named question and is not by itself proof or acceptance of a broader claim. These bindings alone do not establish that proof or computation checks were rerun.
Download exact review bindings
Public-wording review
- Coverage
- 2 exact subject bindings
- Reviewer
- OpenAI Codex
- Independence
- Independence not asserted
Citation
Cite this release
Use the version-specific citation so the authorship, scope, and public record remain attached.
Release history
Versions and public record
- Release
- Paper release
- Version
- public version of 5 August 2026
- Published
- Canonical page
- Open canonical page
Release chronology
This version is part of the release history. No independent external timestamp is claimed.
Scope of this release
- No accepted-result record exists for the Sendov artifact in this snapshot.
- No independent external priority anchor is recorded.
- Specialist novelty review and independent statement-alignment review remain unrecorded.
- The paper, bundle, and supplied infographic are authorized for ProofAtlas distribution but have no general open-content license.