Resolve a DID to its document, read the keys it publishes, and check the two things a document cannot establish about itself: that a key it publishes really signed the credential this browser is holding, and that the DID and an origin are the same entity (DIF Well Known DID Configuration). Nothing here is specific to issuance or presentation — open it beside either workflow at any point.
did:jwk and did:key are their key: the identifier carries it, so they resolve with no network call at all. Only did:web has a document to retrieve. Note that SD-JWT VC defines no DID-based issuer signature mechanism — naming an issuer by DID with dc+sd-jwt is a profile extension — while ldp_vc is DID-native under VC Data Model 2.0.
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