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Paper Integrity Record · LEDGER

Rectilinear Matching to the Integer Grid in Nearly-Linear Time

As of 31 July 2026, Pith completed 5 of 5 listed checks against arXiv:2607.10703. The completed checks produced 2 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
2607.10703 v1
pith:2026:5JMNL34IVQB4R6HNGK4TP4IWRS

Coverage vector

completed 5 of 5 listed checks

Counted as completed checks in the claim sentence numerator.

Listed checks

doi_title_agreement

completed

v1.0.0, observed 2026-07-31 14:51:56.356489+00:00

Scope
Cited titles compared with titles resolved from their DOI or arXiv identifier.
Completed surface
Checked 7 references.

doi_compliance

completed

v1.1.0, observed 2026-07-31 13:52:38.141030+00:00

Scope
DOI and arXiv identifiers listed in the bibliography checked against named registries.
Completed surface
Checked 11 references. Recorded 1 finding from this run.

ai_meta_artifact

completed

v1.0.0, observed 2026-07-21 06:57:41.372635+00:00

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

claim_evidence

completed

v1.0.0, observed 2026-07-19 15:27:14.719223+00:00

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

cited_work_retraction

completed

v1.0.0, observed 2026-07-14 21:19:57.171554+00:00

Scope
Cited references checked for source-reported retractions or expressions of concern.
Completed surface
Checked 9 references.

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.