That's the beauty of an AP -- since they have your name in the computer, you don't even need a photocopy of the back of the pass. I lost DD's at Epcot (in the shuffle of getting EMH wristbands, I think) and we were able to get it replaced at AK Guest Relations next morning.
Whew! I was so relieved. Since we had only bought her AP a few days before I lost it, I had never had a chance to photocopy the back.