First look might make you think that you're watching an impressive one-handed solve, but further inspection would indicate that it's either a repeating pattern that just goes back to solved, or the video picks him up well into a solve.
In every still frame I can make sense out of, all the corners seem to be done, or at worst two opposite layers of solved corners are 90 degrees apart from each other. In addition, when you get a glimpse of a face with four solved corners, the edges across the center from each other are both the same color. This would indicate a cube where only slice moves had been done, typically, but there are other scenarios where doing (UD) or (LR) or (FB) together repeatedly might cause the same thing.
If a reconstruction gets done, either by one of the pros on /r/Cubing or eventually by me, I will post an update.