vinidivici: 71.Kg3 is the move of inaccuracy.
White aiming to advance the h-pawn and to do so need a protection from the rook at of course h-file (h1 square).
But to do so, white needs to worsen the black king position.
71.Ra1+! Kb4...the black king position worsened
73.h6!....now whatever black would do, even the mildest logic would find a win.
73...Rxh6 74.Rxh6 b=Q 75.Rb6+...1-0...thats why we need black king at the b-file
73...b=Q 74.Rxb1+....1-0...the white 2 pawns (soon connected) just too much for black.
73...Kc4 74.g5...1-0...same thing, the white pawns just too strong.
73...Rf8+ 74.Kg3 Kc3 74.g5 Kc2 (74...Rh8 75.Kg4...1-0...same thing, white pawns too strong) 75.h7...1-0...white pawns at 5th and 7th rank impossible to stop by the rook alone meanwhile blacks chance to queen useless with the white rook sacrifice.
Of course, maybe some of you dont fit with 72...b2, but other choices like 72...Kc4/Rf8+ dont help either, its an easy win ,
72...Kc4 73.h6 Kd4 74.g5 b2 75.Rb1... 1-0
72...Rf8+ (most ridiculous move...im sure) 73.Kg3 b2 74.h6 Kc4 75.g5 76.Rh8...1-0...same old same old white pawns just invincible.
So the conclusion is, 71.Ra1! is a MUST. 71.Kg3 just like in the actual game is just wasting tempo. In the game 71...b2 72.Rb1 resulting the draw.
Another move 71...b2 72.Rh1 also draw but with the accurate answer 72...Rh6!!
72...Rh6 needed to keep halting the white pawns advances and black threatening to Kb3 and Kc2. DRAW
You can find this ending in Chess Informator 33rd edition, but you will find very different with my short explanations here, because i have done the complete checking of myself that of course too long to put in here.