I don't know Sean, most probably it was composed just for this video, which I liked. It sounds easy to write down/learn by ear though, you can try that, if you can ignore the narrator.
I can tell it's in D minor for starters, 3/4 measure. Starts with a D minor accompaniment on the left hand and then the first two notes in the melody from 0:03 is an A, then G - Bflat, landing in a E diminished chord. I stopped there because I need to sleep, I'll continue tomorrow if I remember.