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Copy known good serial number + signature.
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combine with a central authority server network and make it blind signatures and you have untraceable e-cash.
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Blind signatures don’t work like that. Once you unblind them, they are very traceable. Chaumian e-cash can only be spent once for that reason.
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No government wants untraceable e-cash. They want it fully traceable.
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It’s a bunch of static signed data, which is hard to modify but trivial to copy. Not exactly what you’d want for bank notes.

NFC and a challenge-response protocol could work, though, like e.g. the one used in biometric passports.

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