In fact, when Comet falls asleep after being active, he goes out completely. You can pick him up, maneuver him, examine his teeth and paws, and do whatever you like. He's out.
He has not, however, been maneuvered into this particular position. Unlike Gus, who has always slept either on his side or with his head between his paws, and who has always disliked being rolled on his back even for belly rubs, Comet seems to end up like this pretty frequently.
You can see, peeking out on his right thigh there, a tattoo of his AKC number. Lisa, the breeder, had that done a week or so before I adopted him. I can register Comet with national services that if he ever gets lost, God forbid, the pound knows how to get in touch with me.
I never thought the one of us with the most patience for Comet's puppy behavior was going to be Gus. But there he is.