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Paper Integrity Record · LEDGER

Pyramids and Extended Metric Measure Spaces

As of 8 August 2026, Pith completed 7 of 10 listed checks against arXiv:2607.26626. The completed checks produced 1 public finding 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.

pith.integrity.v1
2607.26626 v2
pith:2026:42H2IHJLE4V3KE5OYOTU6MY6PP

Coverage vector

completed 7 of 10 listed checks

Counted as completed checks in the claim sentence numerator.

skipped 3 of 10 listed checks

Skipped checks produced no result and say nothing about absence.

Listed checks

ai_meta_artifact

skipped

v1.0.0, observed 2026-08-08 15:08:42.475991+00:00

Scope
Paper body text scanned for literal AI-assistant artifacts.
Reason
Paper body text was unavailable.

doi_title_agreement

completed

v1.0.0, observed 2026-08-06 13:39:03.394787+00:00

Scope
Cited titles compared with titles resolved from their DOI or arXiv identifier.
Completed surface
Completed within the stated scope.

doi_compliance

completed

v1.1.0, observed 2026-08-05 21:50:50.858922+00:00

Scope
DOI and arXiv identifiers listed in the bibliography checked against named registries.
Completed surface
Checked 52 references. Recorded 1 finding from this run.

claim_evidence

completed

v1.0.0, observed 2026-08-05 00:28:11.586948+00:00

Scope
Recorded paper claims checked for the evidence artifacts they name.
Completed surface
Completed within the stated scope.

doi_title_agreement

completed

v1.0.0, observed 2026-08-02 13:08:39.775729+00:00

Scope
Cited titles compared with titles resolved from their DOI or arXiv identifier.
Completed surface
Checked 23 references.

doi_compliance

completed

v1.1.0, observed 2026-08-02 12:28:34.128335+00:00

Scope
DOI and arXiv identifiers listed in the bibliography checked against named registries.
Completed surface
Checked 52 references. Recorded 1 finding from this run.

claim_evidence

completed

v1.0.0, observed 2026-08-02 04:48:19.836975+00:00

Scope
Recorded paper claims checked for the evidence artifacts they name.
Completed surface
Completed within the stated scope.

citation_quote_validity

skipped

v0.1.0, observed 2026-07-30 15:51:00.358260+00:00

Scope
Specific factual attributions checked against cited-paper text available in Pith.
Reason
Paper body text was unavailable.

cited_work_retraction

completed

v1.0.0, observed 2026-07-30 11:21:13.477491+00:00

Scope
Cited references checked for source-reported retractions or expressions of concern.
Completed surface
Completed within the stated scope.

ai_meta_artifact

skipped

v1.0.0, observed 2026-07-30 02:51:39.367732+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.