This chapter presents a revised, annotated translation of Arrian’s published version of his report to the emperor Hadrian (written around AD 131–5, when his consulship was long past) about his tour of duty in the Black Sea, when he led a squadron of ships from Trapezous round the east end of the sea as far as Dioskourias-Sebastopolis. The text mentions several Roman military installations and outlines the geopolitical circumstances of particular districts, as well as listing many harbour and river mouths together with the distances between them. The southern shore of the sea is described in a ‘flashback’, while the north-western and western parts, which Arrian did not reach, are described on the basis of earlier reports. As the chapter introduction points out, the digression near the end of the work about the island of Leuke (mod. Zmiinyi), where Achilles lived after being spirited away from Troy, is thought to be a tacit tribute to Hadrian’s companion Antinoös, who had died in 130. A new map illustrates the stages of the narrative.