Publicly exposed hash of private key Would exposing a cryptographic hash function's digest (e.g. SHA-3) of RSA private key data compromise the key? If so, what are the possible (cryptanalysis-) vectors for attacking the key if an attacker had knowledge of this hash?
This does not compromise the private key as long as the hash function is preimage resistant, i.e. given $H(M)$ it is hard to find $M$ (or any  $M'$ giving the same $H(M)$). SHA-3 is assumed to be preimage resistant.