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The useful conceptual distinction is that a mathematical proposition can remain valid independently of a device or service that represents it. This is a scoped distinction, not evidence that a machine has permanent logical certainty or that a program cannot be changed.","Software, hardware, interfaces, keys, operators, and deployed services are contingent artifacts. A correct equation in code does not by itself establish that the whole program conforms, cannot hallucinate, resists reprogramming, or remains available under attack. Closed-source status is not a cryptographic control and does not prove that code cannot be copied, reverse-engineered, or compromised.","Claims of exclusive ownership, zero liabilities, trade-secret protection, unique capability, or multi-billion-dollar value require their own legal, security, financial, and operational evidence. None follows from a mathematical invariant or from the castle metaphor.","This record preserves the source proposal for study as editorial synthesis, not as a verbatim Maclain Hunter-authored passage or an independently validated guarantee. The project includes an opt-in static signed peer-relay implementation and encrypted portable-file workflow, but this item does not claim radio discovery, a deployed general gateway, closed-source execution core, or production Keep service."],"coherenceCriterion":"The record must keep formal truth, implementation conformance, security, availability, authorship, ownership, and valuation distinct, and must not promote a mathematical invariant or metaphor into an operational guarantee.","evidenceBoundary":"This editorial synthesis preserves Google AI-generated Keep proposal material supplied for study; it is not a verbatim authored passage. 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