A minor correction: when signing a commit, gpg does not sign the SHA-1 digest of that commit. This is impossible since the signature becomes part of the commit header which is one of the inputs to the hash function that produces the oid.
Instead, GPG signs the serialized data (parents,headers,tree,message) which would otherwise be the input to SHA-1. Then the sig is inserted into the buffer at the end of the header and the string is digested to produce an oid.
Source: https://github.com/git/git/blob/39c15e485575089eb77c769f6da0...