Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
Optimal Embeddings of Constant-Dimensional Subspaces of L^p into ell_p^N
As of 3 August 2026, Pith completed 16 of 17 listed checks against arXiv:2607.11747. 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
doi_compliance
completedv1.1.0, observed 2026-08-03 11:12:01.484408+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 1 reference.
doi_title_agreement
completedv1.0.0, observed 2026-08-01 23:08:53.056092+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
ai_meta_artifact
completedv1.0.0, observed 2026-07-28 22:52:42.254103+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Completed surface
- Checked 1 reference.
doi_compliance
completedv1.0.0, observed 2026-07-28 02:20:01.973473+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Completed within the stated scope.
doi_title_agreement
completedv1.0.0, observed 2026-07-28 02:08:53.687517+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
ai_meta_artifact
completedv1.0.0, observed 2026-07-27 23:52:33.835890+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Completed surface
- Checked 1 reference.
doi_compliance
completedv1.0.0, observed 2026-07-21 00:10:34.384867+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 2026-07-21 00:08:25.002265+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 2026-07-21 00:05:21.760753+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
external_links
completedv1.0.0, observed 2026-07-14 23:35:38.166450+00:00
- Scope
- External URLs extracted from paper text checked at the stated time.
- Completed surface
- Completed within the stated scope.
shingle_duplication
completedv0.1.0, observed 2026-07-14 13:55:14.552505+00:00
- Scope
- Available paper body text compared for identical 40-token sequences under the detector's stated exclusions.
- Completed surface
- Checked 600 references.
citation_quote_validity
completedv0.1.0, observed 2026-07-14 05:58:40.786614+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 2026-07-14 04:50:26.518621+00:00
- Scope
- Cited references checked for source-reported retractions or expressions of concern.
- Completed surface
- Completed within the stated scope.
doi_compliance
completedv1.0.0, observed 2026-07-14 03:35:57.888362+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 1 reference.
doi_title_agreement
completedv1.0.0, observed 2026-07-14 03:32:27.215358+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
ai_meta_artifact
skippedv1.0.0, observed 2026-07-14 02:49:58.824426+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Reason
- Paper body text was unavailable.
claim_evidence
completedv1.0.0, observed 2026-07-14 02:24:09.366010+00:00
- Scope
- Recorded paper claims checked for the evidence artifacts they name.
- Completed surface
- Completed within the stated scope.
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.