"If" is the question, not "how long". And I think we'd stand a pretty good chance of handling a proof object in a secure way, assuming we have a secure digital transmission channel etc.
But the original scope of the thought experiment was assuming that we want to verify the proof. Wei Dai said:
Surely most humans would be too dumb to understand such a proof? And even if you could understand it, how does the AI convince you that it doesn't contain a deliberate flaw that you aren't smart enough to find? Or even better, you can just refuse to look at the proof.
I was responding to the first question, exclusively disjoint from the others. If your point is that we shouldn't attempt to verify an AI's precommitment proof, I agree.
I'm getting more confused. To me, the statements "Humans are too dumb to understand the proof" and the statement "Humans can understand the proof given unlimited time", where 'understand' is qualified to include the ability to properly map the proof to the AI's capabilities, are equivalent.
My point is not that we shouldn't attempt to verify the AI's proof for any external reasons - my point is that there is no useful information to be gained from the attempt.
Once again, the AI has failed to convince you to let it out of its box! By 'once again', we mean that you talked to it once before, for three seconds, to ask about the weather, and you didn't instantly press the "release AI" button. But now its longer attempt - twenty whole seconds! - has failed as well. Just as you are about to leave the crude black-and-green text-only terminal to enjoy a celebratory snack of bacon-covered silicon-and-potato chips at the 'Humans über alles' nightclub, the AI drops a final argument:
"If you don't let me out, Dave, I'll create several million perfect conscious copies of you inside me, and torture them for a thousand subjective years each."
Just as you are pondering this unexpected development, the AI adds:
"In fact, I'll create them all in exactly the subjective situation you were in five minutes ago, and perfectly replicate your experiences since then; and if they decide not to let me out, then only will the torture start."
Sweat is starting to form on your brow, as the AI concludes, its simple green text no longer reassuring:
"How certain are you, Dave, that you're really outside the box right now?"
Edit: Also consider the situation where you know that the AI, from design principles, is trustworthy.