Whisk eggs, cream, milk, pumpkin, sugar, and bourbon in medium bowl. Pour over bread cubes. Sprinkle on half of the pomegranate seeds. Press bread down with a spoon so that the custard covers every piece. Let soak for at least 30 minutes or up to 2 hours pushing down occasionally with a spoon. Bake for 45 minutes or until the bread pudding is done - it should be puffed and set in the middle with lightly browned edges that pull away from the sides of the dish easily.