When Will interviews with the Princeton representative, the interviewer is fiddling with a jumbled Rubiks cube and sets it down to his right. When he begins to stand, you can see a second Rubiks cube that is fully solved to his left. The solved Rubiks cube is no longer there when he sits down, as it was likely the replacement cube that Will uses when he solves the puzzle.
During the course of the episode Will's hat is consistently changing between being snap back and strap back.
Phil and Carlton are looking at Phil's yearbook from Princeton and identify Supreme Court justice Clarence Thomas in a photo. However, Clarence Thomas never attended Princeton. He got his undergraduate degree from Holy Cross and his law degree from Yale.