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Paper Integrity Record · LEDGER

Classifying the Groups of Order p³ in Lean

As of 11 July 2026, Pith completed 3 of 3 listed checks against arXiv:2606.26141. 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
2606.26141 v1
pith:2026:GDYT3SUJVJYPFRDGSQC6JX7QTQ

Coverage vector

completed 3 of 3 listed checks

Counted as completed checks in the claim sentence numerator.

Listed checks

doi_compliance

completed

v1.0.0, observed 2026-07-11 06:36:32.363354+00:00

Scope
DOI and arXiv identifiers listed in the bibliography checked against named registries.
Completed surface
Checked 1 reference.

ai_meta_artifact

completed

v1.0.0, observed 2026-07-10 21:51:39.295484+00:00

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

doi_title_agreement

completed

v1.0.0, observed 2026-07-10 07:01:18.697289+00:00

Scope
Cited titles compared with titles resolved from their DOI or arXiv identifier.
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.