Counted as completed checks in the claim sentence numerator.
Paper Integrity Record · LEDGER
ErdH{o}s--Falconer distance conjecture from an analytic perspective
As of 22 July 2026, Pith completed 9 of 9 listed checks against arXiv:2607.05926. 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 2026-07-22 23:57:51.482747+00:00
- Scope
- Paper body text scanned for literal AI-assistant artifacts.
- Completed surface
- Checked 1 reference.
doi_title_agreement
completedv1.0.0, observed 2026-07-16 00:33:00.924339+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Completed within the stated scope.
doi_compliance
completedv1.0.0, observed 2026-07-15 04:30:43.144379+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 4 references.
claim_evidence
completedv1.0.0, observed 2026-07-15 00:04:29.021825+00:00
- Scope
- Recorded paper claims checked for the evidence artifacts they name.
- Completed surface
- Completed within the stated scope.
claim_evidence
completedv1.0.0, observed 2026-07-13 10:43:54.312929+00:00
- Scope
- Recorded paper claims checked for the evidence artifacts they name.
- Completed surface
- Completed within the stated scope.
doi_title_agreement
completedv1.0.0, observed 2026-07-13 09:02:17.331046+00:00
- Scope
- Cited titles compared with titles resolved from their DOI or arXiv identifier.
- Completed surface
- Checked 6 references.
doi_compliance
completedv1.0.0, observed 2026-07-13 08:43:18.762292+00:00
- Scope
- DOI and arXiv identifiers listed in the bibliography checked against named registries.
- Completed surface
- Checked 4 references.
cited_work_retraction
completedv1.0.0, observed 2026-07-11 06:48:54.103475+00:00
- Scope
- Cited references checked for source-reported retractions or expressions of concern.
- Completed surface
- Completed within the stated scope.
ai_meta_artifact
completedv1.0.0, observed 2026-07-09 10:53:52.909915+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.