Comment by FarmerPotato

Yeah, but as Wordle fans know, some clues yield more bits than others. The search space is not balanced.

The search space of hackers is a small subtree of all humans. So it's like a smaller tree of groups in Wordle that contains the letter "H".

However, in reality there is no binary "hacker" bit, so maybe we're back to the brute force 33-bit space. And then, you don't know Satoshi's unique signature, and it's worse if Satoshi is a group.

Come to think of it, do all hacker news posters even share a hacker bit?

I still rely on information-theoretic proofs at work, they just don't involve messy humans.