Ezekiel 45:19

And the priest shall take of the blood of the sin offering, and put it upon the posts of the house, and upon the four corners of the settle of the altar, and upon the posts of the gate of the inner court.

Cross-reference

Ezekiel 43:20 instructs blood on altar horns and ledges — identical to the application here.

Ezekiel 8:16 reveals sun worship defiling the temple — the impurity this purification ritual atones for.

Ezekiel 43:19 specifies Zadokite priests and sin offering bull — the same priestly line and offering used here.

Leviticus 16:18-20 has the high priest put blood on altar horns for atonement — a direct parallel to this ritual.