Never mind, I see the problem now.
Unless there's some arcane rule I don't know about, the game looks like a draw to me.
Black is out of time and there's no mate on the board. Black definitely does not win.
White is making a claim of time expired, and that claim is valid. So white now wins or draws.
The rules of chess then say that there must be a checkmate possible through a sequence of legal moves for white to win. That is not the case. Therefore the match is a draw.
Suppose this position comes up in a tournament:
Black moves Qg3+ and seems satisfied with the soon-to-come mate. Unfortunately he is too slow, and the flag falls on his clock before he hits the button, but after he releases the queen on g3. A discussion immediately starts over the board about the outcome of the game.Hvit claims he wins. Black has lost on time, and white has enough material to mate.
Black claims he wins. Though his time is out, any legal way to continue the game ends in White being mated. White's only legal replay is Bxg3, then Black has only two legal moves: hxg3 mate or fxg3 mate.
A spectator claims it's a draw. The rules specify that a game is drawn when a player's flag falls, and the opponent cannot checkmate by any series of legal moves.
Who is right?