Stanford actually sent out their first invite *before* the first round was due, on October 2, according to their blog...
http://www.stanford.edu/group/mba/blog. Even crazier. Agree that it must have been someone with a nutty resume. And nutty-quick prep, to get their app in that early--presumably they got their app in *at least* a week before the 2nd, probably a bit more.
Alternately, perhaps it was a (very impressive) re-applicant that they had previously given very positive marks to, but asked to reapply in a year, for w/e?