Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
Optimization Geometrodynamics: Variational Reduction and Interaction Curvature
As of 22 July 2026, Pith completed 8 of 9 listed checks against arXiv:2607.06723. The completed checks produced 3 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.
Coverage vector
Skipped checks produced no result and say nothing about absence.
Listed checks
ai_meta_artifact
completedv1.0.0, observed 2026-07-22 23:57:04.491554+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Completed surface
- Checked 1 reference.
doi_title_agreement
completedv1.0.0, observed 2026-07-17 00:33:32.628751+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Checked 9 references.
doi_compliance
completedv1.0.0, observed 2026-07-16 02:27:46.403187+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 28 references. Recorded 1 finding from this run.
claim_evidence
completedv1.0.0, observed 2026-07-16 00:04:52.886621+00:00
- Scope
- Recorded paper claims checked for the evidence artifacts they name.
- Completed surface
- Completed within the stated scope.
doi_title_agreement
completedv1.0.0, observed 2026-07-14 00:02:26.029925+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Checked 19 references.
claim_evidence
completedv1.0.0, observed 2026-07-13 09:03:52.968214+00:00
- Scope
- Recorded paper claims checked for the evidence artifacts they name.
- Completed surface
- Completed within the stated scope.
doi_compliance
completedv1.0.0, observed 2026-07-13 03:18:51.646794+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 20 references. Recorded 2 findings from this run.
cited_work_retraction
completedv1.0.0, observed 2026-07-09 23:18:35.864090+00:00
- Scope
- Cited references checked for source-reported retractions or expressions of concern.
- Completed surface
- Completed within the stated scope.
ai_meta_artifact
skippedv1.0.0, observed 2026-07-09 08:49:24.528193+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Reason
- Paper body text was unavailable.
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.