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Evidence for Eberhard's divisor-ratio theorem

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verify/: Connects the independent review, distinct grade and attributed correction to their exact two-page subject, source version and premise boundaries.


The verification records concern the complete downstream divisor-ratio argument and its quoted external sieve interface as one unit. The exact original two-page subjects remain opaque assets; the full review and distinct grade retain their derivations and findings with the later density-commentary correction separately attributed.

The outcome is refutation-failed relative to the quoted GGPY statement. That statement was checked against Eberhard's published Theorem 1; the original sieve proof was not inspected or certified. These records do not review the arXiv variants, community Lean file or later extension, and do not supply a catalog-status change, native tier or formal verification.