To be honest, we get something like this kind of attention (Tbps of forged requests / brute-force registration attacks per day), and all we do is provide a free API that's rate-limited per user account for multitenant-QoS reasons. People do all sorts of crazy stuff to try to sneakily drip-register a thousand accounts over several weeks so they can then launch some big job that uses all the keys in tandem to evade the rate limits.
Little do they know, they don't get any benefit from that, even while they're nominally "getting away with it"; doing that just makes our servers fall over! :P
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Separately, you should really consider a level between "Mossad" and "not-Mossad": the sorts of people who hack crypto exchanges. They tend to use exactly the kind of "saw it in a movie"-level techniques that you'd think wouldn't happen because "you can just use rubber-hose cryptanalysis." Except if you're a socially-anxious math-genius fifteen-year-old living in Belarus, and there's a cryptosystem that you have unlimited access to a local copy of, maybe the rubber-hose cryptanalysis is actually harder!