Epigraphō combines epi (upon) + graphō (to write). It means to write upon, inscribe, or engrave on a surface. It appears 5 times in the NT, in contexts ranging from the inscription on the cross to the law written on hearts, and the altar inscription in Athens.
The New Covenant is fundamentally about epigraphō — writing on hearts instead of stone. Hebrews 8:10 quotes Jeremiah 31:33: "I will put my laws in their minds and write [epigrapsō] them on their hearts." The cross itself bore an inscription: "JESUS OF NAZARETH, THE KING OF THE JEWS" (John 19:19). And in Athens, Paul finds an altar inscribed "TO AN UNKNOWN GOD" — and declares this God known in Christ. The God who writes His name on hearts is the same God whose story is written across all creation.