I just passed my Ph.D. defence in a French speaking University. Ph.Ds, here, can be passed with different "distinctions" levels (from "acceptable" to "excellent"). What is the proper term in English for this kind of distinctions? (what we would call "mention excellente" in French...)
Just to echo what's being said in the comments, in the United States, there are no distinctions with degrees... you simply have either earned it or you haven't.
Also, for what it's worth, "PhD ABD" is not a real degree, even if you list it on your resume. Just sayin'.