A DID URI is a URI with a 'method' and globally unique part: did:method:somegloballyuniqueid.
The "did" part is literal; a standardized URI namespace. The method part is some symbol that specifies how the unique id resolves and its representation (JSON, whatever.) The method part is what this story is about; W3C has declined to enshrine a set of methods in the standard.
Instead, W3C is delegating to a registry of methods. This registry has already grown to a sizeable number.
The idea is that you will apply a DID URI using its method and obtain a DID 'document'. This document has claims, credentials, etc. The DID owner can cryptographically prove the document represents them and relying parties can cryptographical verify claims in the document.
The actual workflow is more involved than described here but that's the gist of it.
BTW, your list of identity schemes you've had experience with roughly correspond to 'method's, although they aren't 'distributed' in the DID sense.