Paper Integrity Record · LEDGER

A Minkowski Theory for the Exterior Capacitary Volumes and A Resolution of the P\'olya-Szeg\"o Conjecture

As of 20 July 2026, Pith completed 5 of 5 listed checks against arXiv:2607.02273. 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
2607.02273 v3
pith:2026:7C5AP3WN3ACAOZHFN7M352FRRN

Coverage vector

completed 5 of 5 listed checks

Counted as completed checks in the claim sentence numerator.

Listed checks

ai_meta_artifact

completed

v1.0.0, observed 2026-07-20 23:57:54.135126+00:00

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

claim_evidence

completed

v1.0.0, observed 2026-07-14 00:04:06.063235+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 2026-07-13 11:32:20.577648+00:00

Scope: Cited titles compared with titles resolved from their DOI or arXiv identifier.
Completed surface: Checked 11 references.

doi_compliance

completed

v1.0.0, observed 2026-07-13 09:55:36.951285+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 2026-07-09 17:54:07.064124+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.