Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
A Three-Dimensional Operator System without the Smith--Ward Property
As of 21 July 2026, Pith completed 7 of 8 listed checks against arXiv:2607.04274. 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
ai_meta_artifact
completedv1.0.0, observed 2026-07-21 23:58:36.464891+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Completed surface
- Checked 1 reference.
doi_title_agreement
completedv1.0.0, observed 2026-07-15 02:02:42.313210+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 2026-07-15 01:46:08.795703+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 2 references.
doi_compliance
completedv1.0.0, observed 2026-07-13 20:45:51.806454+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 2 references.
doi_title_agreement
completedv1.0.0, observed 2026-07-13 20:32:24.325065+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
claim_evidence
completedv1.0.0, observed 2026-07-13 15:43:59.030123+00:00
- Scope
- Recorded paper claims checked for the evidence artifacts they name.
- Completed surface
- Completed within the stated scope.
cited_work_retraction
completedv1.0.0, observed 2026-07-12 11:19:30.850091+00:00
- Scope
- Cited references checked for source-reported retractions or expressions of concern.
- Completed surface
- Checked 1 reference.
ai_meta_artifact
skippedv1.0.0, observed 2026-07-09 13:49:01.413012+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.