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Paper Integrity Record · LEDGER

A complete ultrametric on von Neumann's incomplete tensor products

As of 31 July 2026, Pith completed 15 of 15 listed checks against arXiv:2607.09627. The completed checks produced no public findings within their stated scope.

This is a record of named checks, not a clean-status claim or a paper verdict.

pith.integrity.v1
2607.09627 v3
pith:2026:R5GENEJO57IESZPMTZ44HEMR2H

Coverage vector

completed 15 of 15 listed checks

Counted as completed checks in the claim sentence numerator.

Listed checks

doi_title_agreement

completed

v1.0.0, observed 2026-07-31 11:21:52.924454+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

v1.0.0, observed 2026-07-28 04:51:20.288614+00:00

Scope
DOI and arXiv identifiers listed in the bibliography checked against named registries.
Completed surface
Completed within the stated scope.

ai_meta_artifact

completed

v1.0.0, observed 2026-07-26 23:54:18.176813+00:00

Scope
Paper body text scanned for literal AI-assistant artifacts.
Completed surface
Checked 1 reference.

cited_work_retraction

completed

v1.0.0, observed 2026-07-20 23:51:54.760905+00:00

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

doi_compliance

completed

v1.0.0, observed 2026-07-20 00:08:52.171548+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

completed

v1.0.0, observed 2026-07-20 00:04:55.907094+00:00

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

claim_evidence

completed

v1.0.0, observed 2026-07-17 00:05:16.836082+00:00

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

claim_evidence

completed

v1.0.0, observed 2026-07-15 06:04:33.373493+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 2026-07-15 02:02:41.403695+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

v1.0.0, observed 2026-07-15 01:59:20.492889+00:00

Scope
DOI and arXiv identifiers listed in the bibliography checked against named registries.
Completed surface
Completed within the stated scope.

external_links

completed

v1.0.0, observed 2026-07-13 17:34:55.742521+00:00

Scope
External URLs extracted from paper text checked at the stated time.
Completed surface
Completed within the stated scope.

cited_work_retraction

completed

v1.0.0, observed 2026-07-13 02:19:28.630143+00:00

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

citation_quote_validity

completed

v0.1.0, observed 2026-07-13 01:57:17.312024+00:00

Scope
Specific factual attributions checked against cited-paper text available in Pith.
Completed surface
Completed within the stated scope.

shingle_duplication

completed

v0.1.0, observed 2026-07-13 01:54:12.294790+00:00

Scope
Available paper body text compared for identical 40-token sequences under the detector's stated exclusions.
Completed surface
Checked 600 references.

ai_meta_artifact

completed

v1.0.0, observed 2026-07-13 01:49:58.349432+00:00

Scope
Paper body text scanned for literal AI-assistant artifacts.
Completed surface
Checked 1 reference.

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.