LSJ
Ion. ἀριστήϊα, τά, the meed of valour, ἀ. διδόναι τῷ ἀξιωτάτῳ Hdt. 8.123, cf. 124; ἀπαίτεε τοὺς Αἰγινήτας τὰ ἀ. demanded of them the reward (they had received) for prowess, ib. 122; τὰ ἀ. τῆς νίκης φέρεσθαι Hp. Aër. 23, cf. S. Aj. 464, Pl. Lg. 919e, Isoc. 9.16, etc. ; ἀ. τῆς θεοῦ offered to her, IG 2.652A 30, al. ; ἀριστεῖον τῷ θεῷ ib. 814a A 32, cf. SIG 276 A 9 (Delph.), D. 22.72; less freq. in sg. in same sense, Hdt. 8.11, Luc. DDeor. 22.3. in sg., monument of valour, memorial, τοῦ πρὸς τοὺς βαρβάρους πολέμου D. 19.272, cf. 59.97.
Liddell-Scott-Jones, Greek-English Lexicon (9th ed., 1940)