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D4: the boundary of primitive uniqueness

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Hawk01-B gives a model-specific number-record recovery obstruction of this kind CheungHawk01B (theorem :number). A number-diagonal record therefore is not, by itself, a coherent recovery or residual-leakage certificate.

Likewise, agreement of thermal marginals or spectra does not specify a full transfer channel. The finite conserving completions of Hawk01-A and the spectrum-matching separation of Hawk02-A are documentary examples CheungHawk01A (theorem :completion) CheungHawk02A (corollary :spectrum). Their physical hypotheses are not imported into this paper.

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