Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
The Convergence Behavior of Adam under Heavy-Tailed Noise
As of 7 August 2026, Pith completed 7 of 9 listed checks against arXiv:2607.27383. The completed checks produced no public findings within their stated scope. 2 checks were 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
skippedv1.0.0, observed 2026-08-07 10:08:45.295869+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Reason
- Paper body text was unavailable.
doi_title_agreement
completedv1.0.0, observed 2026-08-07 00:08:54.484061+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
doi_compliance
completedv1.1.0, observed 2026-08-06 20:40:14.330312+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 9 references.
claim_evidence
completedv1.0.0, observed 2026-08-06 00:28:15.831739+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 2026-08-03 09:38:28.772545+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
doi_compliance
completedv1.1.0, observed 2026-08-03 08:58:14.469121+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 9 references.
claim_evidence
completedv1.0.0, observed 2026-08-03 01:08:11.576360+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 2026-07-31 01:21:08.769781+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 2026-07-31 00:51:31.050499+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.