Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
Lecture notes on random matrix theory: the results, the applications, and the analytical tools
As of 13 July 2026, Pith completed 6 of 7 listed checks against arXiv:2607.07868. 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
claim_evidence
completedv1.0.0, observed 2026-07-13 01:03:41.205761+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 2026-07-12 21:55:53.707998+00:00
- Scope
- Available paper body text compared for identical 40-token sequences under the detector's stated exclusions.
- Completed surface
- Checked 600 references.
doi_compliance
completedv1.0.0, observed 2026-07-12 16:33:09.302266+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 3 references.
doi_title_agreement
completedv1.0.0, observed 2026-07-12 16:32:08.138080+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Checked 58 references.
citation_quote_validity
completedv0.1.0, observed 2026-07-12 01:57:38.778166+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 2026-07-10 15:18:45.002694+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 2026-07-10 00:49:23.108170+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.