Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
Atomic Characterization and Its Applications of Matrix-Weighted Variable Hardy Spaces
As of 2 June 2026, Pith completed 9 of 10 listed checks against arXiv:2605.20597. The completed checks produced 1 public finding 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
ai_meta_artifact
completedv1.0.0, observed 2026-06-02 23:40:49.228837+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Completed surface
- Checked 1 reference.
doi_title_agreement
completedv1.0.0, observed 2026-06-01 01:04:46.866263+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
doi_compliance
completedv1.0.0, observed 2026-05-27 02:25:55.949284+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 2026-05-27 00:44:17.982010+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 2026-05-25 07:03:44.710000+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 2026-05-25 07:02:42.163341+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Checked 19 references.
doi_compliance
completedv1.0.0, observed 2026-05-25 03:41:17.795253+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 2 references. Recorded 1 finding from this run.
citation_quote_validity
completedv0.1.0, observed 2026-05-21 23:50:02.315004+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 15:57:38.138123+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 02:33:38.648631+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- 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.