Some sacrifices are sound; the rest are mine.
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[Event "rated untimed match"]
[Site "?"]
[Date "????.??.??"]
[Round "?"]
[White "Unknown"]
[Black "Unknown457"]
[Result "1-0"]
[Annotator "David Hayes"]
[BlackElo "0"]
[FEN "8/1p2k3/4p1p1/p2pP3/2pP2bK/P1P4P/1P6/8 w - - 0 1"]
[SetUp "1"]
[TimeControl "0"]
[WhiteElo "0"]
1. Kxg4 ( { White can try: } 1. hxg4 Kf7 2. Kg5 Kg7 3. a4 b6 4. Kh4 Kh6 5. g5+ Kg7 6. Kg4 Kf7 7. Kf3 Ke7 8. Ke3 Kd7 9. Kd2 Kc6 10. Kc2 b5 11. axb5+ Kxb5 12. Kb1 a4 13. Ka2 Ka5 14. Ka3 Kb5 15. Ka2 Ka5 16. Ka3 Kb5 17. Ka2 Ka5 18. Ka3 Kb5 { Draw by repetition of position. } ) 1... Kf7 2. Kg5 ( { White can try: } 2. a4 Kg8 3. Kg5 Kg7 4. h4 b6 5. Kf4 Kf8 6. Kg4 Kg8 7. Kg5 Kg7 { Draw by repetition
of position. } ) 2... Kg7 3. a4 b6 4. h4 Kh7 5. Kf6 Kh6 6. Kxe6 Kh5 7. Kxd5 Kxh4 8. e6 g5 9. e7 g4 10. e8=Q { White wins with a large material advantage. } 1-0