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Paper Integrity Record · LEDGER

An AI Proof of 18-Variable Undecidability for Diophantine Equations over mathbb Z[i]

As of 10 July 2026, Pith completed 1 of 1 listed checks against arXiv:2606.12776. 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
2606.12776 v1
pith:2026:CKKL6O5NIBYJAXWUEVFOFUR3NA

Coverage vector

completed 1 of 1 listed checks

Counted as completed checks in the claim sentence numerator.

Listed checks

doi_compliance

completed

v1.0.0, observed 2026-07-10 00:57:52.677470+00:00

Scope
DOI and arXiv identifiers listed in the bibliography checked against named registries.
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.
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  • Severity labels describe one observation row. They do not roll up into a paper judgment.