Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
Tangent Spheres and Integer Distances
As of 11 July 2026, Pith completed 2 of 2 listed checks against arXiv:2606.18569. 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.
Coverage vector
Listed checks
ai_meta_artifact
completedv1.0.0, observed 2026-07-11 04:57:46.842458+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Completed surface
- Checked 1 reference.
doi_compliance
completedv1.0.0, observed 2026-07-09 22:25:50.499433+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 8 references.
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.