θύραθι
From LSJ
Ὁ δὲ μὴ δυνάμενος κοινωνεῖν ἢ μηδὲν δεόμενος δι' αὐτάρκειαν οὐθὲν μέρος πόλεως, ὥστε ἢ θηρίον ἢ θεός → Whoever is incapable of associating, or has no need to because of self-sufficiency, is no part of a state; so he is either a beast or a god
English (LSJ)
Adv.
A at the door, EM25.17:—Ep. θύρηθι, outside, μάλα δ' ὦκα θύρηθ' ἔα I was soon out(of the sea), Od.14.352.
Greek (Liddell-Scott)
θύρᾱθι: Ἐπίρρ., εἰς τὴν θύραν, κατὰ τὴν θύραν, Ἐτυμ. Μ. 25. 16.