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> The ZKP does not need to be the identity by itself. Another identity can be tied to the ZKP proof

Which is exactly what I said:

> you are given a token which you must reuse, making you pseudonymous

The way it's usually done with ZKP's is through the use of a nullifier, a cryptographic product of hidden information which will always be static. In this case the nullifier may be a public key.



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