Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
One thousand and one higher-order geometric flows of networks
As of 3 August 2026, Pith completed 4 of 7 listed checks against arXiv:2607.13894. The completed checks produced 2 public findings within their stated scope. 3 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 04:00:45.917966+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 14 references. Recorded 2 findings from this run.
ai_meta_artifact
skippedv1.0.0, observed 2026-07-30 10:52:09.444744+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Reason
- Paper body text was unavailable.
cited_work_retraction
completedv1.0.0, observed 2026-07-23 23:52:50.713151+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 2026-07-22 14:09:14.870127+00:00
- Scope
- Recorded paper claims checked for the evidence artifacts they name.
- Completed surface
- Completed within the stated scope.
external_links
completedv1.0.0, observed 2026-07-16 23:34:18.240775+00:00
- Scope
- External URLs extracted from paper text checked at the stated time.
- Completed surface
- Completed within the stated scope.
shingle_duplication
skippedv0.1.0, observed 2026-07-16 13:53:39.875203+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.
citation_quote_validity
skippedv0.1.0, observed 2026-07-16 05:56:57.895639+00:00
- Scope
- Specific factual attributions checked against cited-paper text available in Pith.
- Reason
- Paper body text was unavailable.
Observations
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.