Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation
As of 5 June 2026, Pith completed 9 of 10 listed checks against arXiv:2605.21275. 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
doi_title_agreement
completedv1.0.0, observed 2026-06-05 21:06:16.335658+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
ai_meta_artifact
completedv1.0.0, observed 2026-06-03 23:40:14.438642+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Completed surface
- Checked 1 reference.
doi_compliance
completedv1.0.0, observed 2026-05-29 03:17:43.457908+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Completed within the stated scope.
doi_title_agreement
completedv1.0.0, observed 2026-05-27 07:33:14.165242+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Checked 5 references.
doi_compliance
completedv1.0.0, observed 2026-05-27 06:46:35.639704+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Completed within the stated scope.
claim_evidence
completedv1.0.0, observed 2026-05-26 10:04:06.589996+00:00
- Scope
- Recorded paper claims checked for the evidence artifacts they name.
- Completed surface
- Completed within the stated scope.
shingle_duplication
completedv0.1.0, observed 2026-05-21 21:50:01.752806+00:00
- Scope
- Available paper body text compared for identical 40-token sequences under the detector's stated exclusions.
- Completed surface
- Checked 600 references.
citation_quote_validity
completedv0.1.0, observed 2026-05-21 07:50:51.520711+00:00
- Scope
- Specific factual attributions checked against cited-paper text available in Pith.
- Completed surface
- Completed within the stated scope.
cited_work_retraction
completedv1.0.0, observed 2026-05-21 05:52:36.019949+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 2026-05-21 02:33:33.497416+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.