Hello,
Searching by authentihash is actually possible, though it is not the recommended way. We started indexing authentihash late 2014, meaning that only files sent from then onward are indexed by authentihash. This means that whenever you search by authentihash, if there is no match, it does not mean that we do not have the file, it might well be that it is an old file for which we do not have the authentihash calculated and indexed. It is always better to end up checking by sha256.
If you still want to use authentihash, the way to do it is prepending "auth" to the hash, i.e.
Regards.