Thanx for posting, that is absolutely stunning.
Underpromotion Puzzle

Pretty interesting puzzle, but why would a queen promotion lead to a stalemate?
Look in the variations of the move list. On all 3 occasions promotion to queen leads to stalemate.
Nice composition. Only one flaw there (IMHO). Why didn't Black play 4. ... Bh8 ? What would White do if he did so? I don't see any reason why Black could not have played that.

Nice composition. Only one flaw there (IMHO). Why didn't Black play 4. ... Bh8 ? What would White do if he did so? I don't see any reason why Black could not have played that.
Then white can play e8=Q (I think) attacking the bishop.

Nice composition. Only one flaw there (IMHO). Why didn't Black play 4. ... Bh8 ? What would White do if he did so? I don't see any reason why Black could not have played that.
Then white can play e8=Q (I think) attacking the bishop.
That's correct.

I think the given solution is not correct. After 8.b7 Black should not play 8...Be5? but instead 8... Kd3! which actually draw. A sample line: 9. Nc1+ Kd2 10.Kb2 Be5+ 11.Kb3 Kxc1 12.Nc7 Kb1! 13.b8=Q c1=Q =
As I recall Mark Liburkin later added a white pawn on c4 and white knight on h1, when after 8...Kd3? 9.Nf2+ wins

Ah Liburkin, the greatest chess composer ever, poetry on the board... beautiful, beautiful, beautiful...

As I recall Mark Liburkin later added a white pawn on c4 and white knight on h1, when after 8...Kd3? 9.Nf2+ wins
Liburkin's original prize-winning study included a white pawn on c4. A later version of unknown origin omitted the pawn. Many publications have given the later version and incorrectly identified it as the original study. You can confirm this by consulting HHdbV.
Not mine, saw it from a book.