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IMO the ultimate offline money would be not just a file but a
micro-computer capable of holding a public private key pair and
decrypting and encrypting information and transmitting it to
verifiers. This assumes that computing and communication costs are
greatly reduced.

The verifier would collect the public key from the money and
communicate with the mint to check the value registered to it. The
verifier would then generate a session key, encrtpy it with the
public key and transmit it to the money, that would decrypt it and
send it back, showing that it controls the private key. This verifies
the money. 

The micro-computer would be set in tamper evident packaging to
prevent theft of the private key. The micro-computer could also
re-generate public private key pairs, so that individuals could
transfer value into account based money re-generate the public
private keypeir, then transfer the value back to the micro-computer.

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