No, but from his description of how he walks, it is the only place he can be.
That's the riddle.
You could equally ask "if you are standing at one specific part of the Earth, and whichever direction you walk in, you are travelling South, where are you?"
which is the same riddle but worded differently.
Having established that you must be at the North Pole, all the rest of the squabbling is about "what colour is a Polar Bear?"