Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
Directional Curvature from Armijo Backtracking: A Low-Cost Sharpness Probe and a Calibration-Free Learning-Rate Safeguard for Adam
As of 21 July 2026, Pith completed 7 of 8 listed checks against arXiv:2607.03998. The completed checks produced no 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 2026-07-21 23:58:50.652406+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Completed surface
- Checked 1 reference.
ai_meta_artifact
completedv1.0.0, observed 2026-07-16 23:53:15.586617+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Completed surface
- Checked 1 reference.
doi_title_agreement
completedv1.0.0, observed 2026-07-15 02:02:42.325590+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Checked 1 reference.
doi_compliance
completedv1.0.0, observed 2026-07-13 22:55:34.614791+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 7 references.
doi_title_agreement
completedv1.0.0, observed 2026-07-13 22:32:25.203104+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
claim_evidence
completedv1.0.0, observed 2026-07-13 16:43:59.799589+00:00
- Scope
- Recorded paper claims checked for the evidence artifacts they name.
- Completed surface
- Completed within the stated scope.
cited_work_retraction
completedv1.0.0, observed 2026-07-12 15:49:36.754013+00:00
- Scope
- Cited references checked for source-reported retractions or expressions of concern.
- Completed surface
- Checked 5 references.
ai_meta_artifact
skippedv1.0.0, observed 2026-07-09 14:49:01.410726+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Reason
- Paper body text was unavailable.
Observations
The completed checks produced no public findings within their stated scope.
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.