I think we are talking past each other. What I tried to explain previously is 
that the way an algorithm like BBS achieves cryptographic holder/prover binding 
doesn't reveal an identifier like a DID or a public key to the verifier, 
removing this vector of correlation while still providing the same assurance.


Thanks,

[Mattr 
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Tobias Looker

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________________________________
From: Richard Barnes <[email protected]>
Sent: 18 October 2022 03:48
To: Tobias Looker <[email protected]>
Cc: [email protected] <[email protected]>
Subject: Re: [jose] Some JWP comments

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On Sun, Oct 16, 2022 at 6:01 PM Tobias Looker <[email protected]> 
wrote:
> The verifier of a VC needs to know that the entity presenting the credential 
> is the same as the subject that the issuer issued the credential to.  Can you 
> provide an example of how the verifier is assured of that without revealing a 
> public key or a DID or some constant, correlatable identifier?  Specifically:

To the contrary can you expand on how revealing a DID or public key to the 
verifier alone provides this assurance?

If the DID or public key is constant for a given signature, and I reveal that 
to two verifiers, that seems like it allows the verifiers to link the 
credentials pretty trivially, right?  Just by checking that the same DID or the 
same public key was presented in two interactions.  And this is true even if 
the signature on the credential is different in the two interactions.

In other words, suppose the VC signature covers (attributes, DID/Pubkey); then 
two presentation interactions would present:

A: subset(attributes), DID/Pubkey, ZKP1 of signature over (attributes, 
DID/Pubkey), proof of possession of DID/Pubkey
B: subset(attributes), DID/Pubkey, ZKP2 of signature over (attributes, 
DID/Pubkey), proof of possession of DID/Pubkey

It seems to me that all of the elements in those presentations can vary 
**except for the DID/Pubkey**.  Because that's how the subject is represented, 
so it can't vary between issuance and presentation.  And because you have that 
constant correlator, the interactions are linkable, even though everything else 
is randomized.

(You could do something like having a bucket of DIDs/Pubkeys that are 
selectively disclosed in different interactions.  But this doesn't help: You 
only get a fixed number per credential, and you have to burn one per 
presentation, so you eventually have to go back to the issuer and refresh.  And 
has been discussed elsewhere on this list, if you can go back to the issuer and 
refresh, you don't need the fancy ZKP signatures.)

--RLB
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