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Paper Integrity Record · LEDGER

Is the Geometry Doing the Work? An Operating-Point Audit of Hierarchy in Hyperbolic Vision-Language Models

As of 21 July 2026, Pith completed 10 of 10 listed checks against arXiv:2607.05268. 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
2607.05268 v3
pith:2026:AAVRH44LKJIYW7U47ONOOADJQ4

Coverage vector

completed 10 of 10 listed checks

Counted as completed checks in the claim sentence numerator.

Listed checks

ai_meta_artifact

completed

v1.0.0, observed 2026-07-21 23:57:48.125266+00:00

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

ai_meta_artifact

completed

v1.0.0, observed 2026-07-16 23:52:16.602276+00:00

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

doi_compliance

completed

v1.0.0, observed 2026-07-15 03:17:15.475665+00:00

Scope
DOI and arXiv identifiers listed in the bibliography checked against named registries.
Completed surface
Checked 3 references.

doi_title_agreement

completed

v1.0.0, observed 2026-07-15 03:02:43.802199+00:00

Scope
Cited titles compared with titles resolved from their DOI or arXiv identifier.
Completed surface
Completed within the stated scope.

claim_evidence

completed

v1.0.0, observed 2026-07-15 00:04:29.068652+00:00

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

claim_evidence

completed

v1.0.0, observed 2026-07-13 12:43:56.654102+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 09:32:18.232944+00:00

Scope
Cited titles compared with titles resolved from their DOI or arXiv identifier.
Completed surface
Checked 45 references.

doi_compliance

completed

v1.0.0, observed 2026-07-13 09:08:37.689015+00:00

Scope
DOI and arXiv identifiers listed in the bibliography checked against named registries.
Completed surface
Checked 3 references.

cited_work_retraction

completed

v1.0.0, observed 2026-07-11 18:19:00.507924+00:00

Scope
Cited references checked for source-reported retractions or expressions of concern.
Completed surface
Completed within the stated scope.

ai_meta_artifact

completed

v1.0.0, observed 2026-07-09 11:52:49.552297+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.