glumph comments on Harry Potter and the Methods of Rationality discussion thread, part 12 - Less Wrong Discussion
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This theory, unlike the birth certificate one, can easily explain how the Map matches people with names. During the Sorting, McGonagall reads aloud a name, and the next person who puts on the Sorting Hat is assigned that name. (Assuming the Hat is hooked up to the security system, or vice versa.)
Actually, that's even better- we have a known mechanism by which (something that could be hooked up to) the Hogwarts wards can read minds to determine names. So it actually doesn't require some extraneous piece of paper or database or whatever, but on the other hand would only work on people who've been Sorted.
So no foreign professors!
I couldn't swear to it, but I thought the map showed Krum in GoF.
It's not clear. When Crouch is confessing everything under Veritaserum, he says that he saw his father entering the grounds on the Map, and so headed into the grounds to intercept him. He says something along the lines of "Then Potter came, and Krum", and it's ambiguous as to whether he sees them appear on the Map or if he sees them him person.