I included 3 references in my last academic position, and I doubt it made any difference at all. The supervisor who took me was interested more in my publications. Usually, your degree's defense's committee members are good references. How many members do you have, and do you communicate with them? I used one of of my committee members (beside my supervisor) as a reference after I defended my thesis because I wasn't communicating with them frequently before, which what was supposed to happen. You can also use references from your other degrees, I suppose.