First, I would have your program director call him- see what happens.

Finally, at the last possible minute, sign -forge- the blessed thing on his behalf. That is, in tha space provided for his signiture, sign it "OBO John Smith."

What will he do? Claim forgery? Well, where's the theft? You DID work the hours. You DID give him opportunity. Surely he's not disputing the figures? Would he try to claim he has a right to deprive you of your factual history?