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Paper Integrity Record · LEDGER

A Compass on the Quantum State Sphere: The Hopf Ansatz for Arbitrary Pure-State Optimization

As of 2 August 2026, Pith completed 4 of 5 listed checks against arXiv:2607.14231. The completed checks produced 5 public findings within their stated scope. 1 check was skipped and produced no result.

This is a record of named checks, not a clean-status claim or a paper verdict.

pith.integrity.v1
2607.14231 v1
pith:2026:PCECKBSXMTI5ZAQKWPMF2RAH73

Coverage vector

completed 4 of 5 listed checks

Counted as completed checks in the claim sentence numerator.

skipped 1 of 5 listed checks

Skipped checks produced no result and say nothing about absence.

Listed checks

doi_title_agreement

completed

v1.0.0, observed 2026-08-02 19:38:44.922195+00:00

Scope
Cited titles compared with titles resolved from their DOI or arXiv identifier.
Completed surface
Completed within the stated scope.

doi_compliance

completed

v1.1.0, observed 2026-08-02 02:59:28.648765+00:00

Scope
DOI and arXiv identifiers listed in the bibliography checked against named registries.
Completed surface
Checked 48 references. Recorded 5 findings from this run.

ai_meta_artifact

skipped

v1.0.0, observed 2026-07-24 04:51:41.872642+00:00

Scope
Paper body text scanned for literal AI-assistant artifacts.
Reason
Paper body text was unavailable.

claim_evidence

completed

v1.0.0, observed 2026-07-22 12:09:13.494792+00:00

Scope
Recorded paper claims checked for the evidence artifacts they name.
Completed surface
Completed within the stated scope.

cited_work_retraction

completed

v1.0.0, observed 2026-07-17 17:50:52.701552+00:00

Scope
Cited references checked for source-reported retractions or expressions of concern.
Completed surface
Completed within the stated scope.

Observations

Methods and limits

Each listed check names the surface it examined. A skipped, failed, partial, unavailable, not collected, not requested, or withheld check says nothing about what a completed check would have returned.

  • Only checks with status completed enter the claim sentence numerator.
  • Findings appear only from completed checks and only within the scope printed for that check.
  • Severity labels describe one observation row. They do not roll up into a paper judgment.