to publicly disgrace someone: to hold a person up before others as an object of shame, contempt, or warning
This verb pictures an active, public act of shaming: putting someone on display so that onlookers will scorn them. In wider Greek it covered a whole range of such treatment. It could describe a criminal executed and left on view as a warning to others, a defeated enemy paraded in humiliation, or even a busybody who makes a fool of himself in front of everyone. The common thread is never a mild, private disapproval but a deliberate exposure of a person to public disgrace.
In the New Testament the word appears only once, in Hebrews 6:6, where those who fall away are said to be "crucifying the Son of God all over again and holding him up to contempt." The word makes the sin vivid and concrete. The apostate is not merely turning away quietly; the apostate is publicly disgracing Christ, siding with the crowd that mocked him and re-enacting the scorn of the cross. Many interpreters point out that this is why the passage says such a person cannot be brought back to repentance: to restore them would mean putting Christ through that public shaming yet again.
A shorter, closely related verb, δειγματίζω, carries the same idea and is the word Paul uses when he says Christ publicly disgraced the defeated powers. When the Old Testament was translated into Greek, this verb was chosen for the solemn public execution "before the sun" in Numbers 25:4, the Hebrew יקע, where wrongdoers were put on display as a warning to the nation.