king pawn vs king bishop ending

In the final position, black had a king and bishop, white had a pawn. I thought this is a draw because black can't mate with a bishop and king. Am I wrong?

How would you call this?



Before you ask: any pawn will be turned into a knight and this is 0:1 as well

because of the pawn a mate is still possible - wK goes to h8, wP to h7 etc.