State all the moves that lead to a win on this position

Is there 0, 1, or more than 1?

White to play btw

Move closer to the pawn to prevent it from promoting and then black will have no way to protect it

Then the black side will probably move their king to a5 to take your pawn and to make way for their otherpawn

Then move your pawn from h4 to h5 then they will proly take it or even if they dont you can take it

And then find other moves yourself

It will take many moves for their pawn to promote so you can promote it before them

Srry if my english is bad

It's all good, but you could've put your 5 comments into 1 singular comment.

1. Kf2

Wow! such an advanced and state-of-the-art concept! Brilliant move! omg my chickens all figured it out so ez

Funny how you say that because that move leads to a draw by best play for both sides.

That's a very cute study, with a nice twist at the end!

I'm not good enough to figure this one out. I see some stalemate trap by black that can be countered, but that suggests that Kf1 / Kf2 / Kf3 all win, which clearly can't be the case.

1. Kf1 h2 2. Kg2 h1Q+ 3. Kxh1 b4 4. h5 b5 5. h6 b6 6. h7 Ka6 8. h8=Q a6 9. Qe5 dxe5 10. d6 e4 11. d7 e3 12. d8=N e2 13. Nc6/Nb7 mate.

Its a dead draw. I used analysis.black has a stalemate trap

Okay, so what happens after Kf2 or Kf3 that can't happen after Kf1?

Nice study! Here's the solution (I used an engine). As others have mentioned, Black goes for stalemate by self-trapping the king on a5. To stop this plan, White queens the h-pawn and sac the piece on e5. After this capture, the black pawn on the e-file will check the king eventually, whether it's on f1, f2, or f3. But with the king on f1, Black must use an extra tempo to give this pawn check on e2 (instead of e3 or e4), and that leaves the h3-pawn unable to promote in time to prevent White's knight mate.