In the guide to winning with the pawn on the 6th rank, we learned about the key squares:

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If the Black king reaches any of the key squares, Black is winning, no matter where the White king is.

The defending side has to prevent the opponent's king from reaching the key squares. If the opponent's king is on the 6th rank, the only way to keep it away from the key squares is opposition:

Black's king has reached the sixth rank. If White plays 1.Kf1?, Black can reach the key squares with 1...Kd2! and wins. Instead, White must play 1.Kd1!. White has the opposition and can draw the game:

If Black now advances the pawn with 1...e2+, White plays 2.Ke1! and Black's king must either abandon the pawn, or allow a stalemate with 2...Ke3.

Instead of advancing the pawn, Black can also retreat with the king and hope for an error later by Whitee, for example 1...Kd4. The easiest way to draw is then to shuffle the king on two squares in front of the pawn (here e1 and e2), where the king is always ready to meet a later Kd3 with Kd1, and Kf3 with Kf1.