Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
Two problems on booksize and triangular edges in Nosal graphs
As of 3 August 2026, Pith completed 6 of 10 listed checks against arXiv:2607.15071. The completed checks produced no public findings within their stated scope. 4 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
doi_compliance
completedv1.1.0, observed 2026-08-03 00:40:30.310587+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 2 references.
ai_meta_artifact
skippedv1.0.0, observed 2026-08-03 00:09:20.359990+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 2026-08-02 03:38:52.754013+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
cited_work_retraction
completedv1.0.0, observed 2026-07-26 23:53:37.182336+00:00
- Scope
- Cited references checked for source-reported retractions or expressions of concern.
- Completed surface
- Completed within the stated scope.
claim_evidence
completedv1.0.0, observed 2026-07-24 00:09:50.873742+00:00
- Scope
- Recorded paper claims checked for the evidence artifacts they name.
- Completed surface
- Completed within the stated scope.
claim_evidence
completedv1.0.0, observed 2026-07-21 05:28:31.394274+00:00
- Scope
- Recorded paper claims checked for the evidence artifacts they name.
- Completed surface
- Completed within the stated scope.
citation_quote_validity
skippedv0.1.0, observed 2026-07-19 05:57:10.834681+00:00
- Scope
- Specific factual attributions checked against cited-paper text available in Pith.
- Reason
- Paper body text was unavailable.
shingle_duplication
skippedv0.1.0, observed 2026-07-17 17:53:42.840506+00:00
- Scope
- Available paper body text compared for identical 40-token sequences under the detector's stated exclusions.
- Reason
- Usable body text was absent or too short for this check.
cited_work_retraction
completedv1.0.0, observed 2026-07-17 04:50:40.023257+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 2026-07-17 01:50:22.570112+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.