In Dvoretsky's Endgame Manual, 2nd Edition from 2006 the following important practical rook endgame with a distant passed pawn is analysed. The whole analysis (of the same position with white to move and black to move) is on pages 194-200.
[Title "White to move"]
[SetUp "1"]
[FEN "8/R4p2/P4kp1/7p/7P/4K1P1/r4P2/8 w - - 0 1"]
1.Kd4! Rxf2 2. Rc7 Ra2 3. a7 Kf5 4. Kc4!! {Johannes Steckner} Kg4 5. Kb3! Ra6 6. Rc4+ Kxg3 7. Ra4 Rxa7 8. Rxa7 Kxh4 9. Kc3 Kg3 10. Kd2 h4 11. Ke2 Kg2 12. Rxf7 h3 13. Rf2+! Kg3 14. Rf6 +-
The author claims, with very long analyses to back it up, that white wins after Kd4!
, but he warns:
Nothing could be further from my mind than to label the analyses presented [...] as the "last word of theory" - long, complicated variations rarely turn out error-free.
Have there been any new developments since 2006?
I know 11-men tablebases are a long way off, but are we still confident this endgame is a win for white?
1. Kd4 g5
is quite thematic to break up the pawn structure and try to create a passed pawn as soon as possible.