Help identifying Legend/Inscription on rare RPC from Halicarnassus depicting Herodotus

I recently went down a rabbit hole on this coin type and came across one with a weird inscription that I cannot make sense of… on the Rev. (according to RPC Online) it says “ARCEMIA”, any thoughts or ideas what it could mean?


RPC III, 2152


Province/Region/City: Asia/Caria/Halicarnassus

Reign: Trajan (98-117 CE)

Obv.:- laureate head of Trajan (r.)

Obv. Inscription: ΑΥΤΟ ΚΑΙ ΝΕΡΒΑϹ ΤΡΑΙΑΝΟϹ ΓΕ ΔΑ (Αὐτο(κράτωρ) Καῖ(σαρ) Νέρβας Τραϊανὸς Γε(ρμανικὸς) Δα(κικός))

Translation: Emperor Caesar Nerva Trajan Germanicus Dacicus

Rev.:- bearded and draped bust of Herodotus (r.)

Rev. Inscription: ΑΛΙΚΑΡΝΑϹΕΩΝ ΗΡΟΔΟΤΟϹ ΑΡϹΕΜΙΑ (Ἁλικαρνασέων Ἡρόδοτος ΑΡΣΕΜΙΑἉλικαρνασέων Ἡρόδοτος ΑΡΣΕΜΙΑ)

Translation: of the Halicarnassians, Herodotus, ARSEMIA(?)