The narrative of Zosimus, who actually leads Gainas beyond the Danube, must be corrected by the testimony of Socrates [1. vi. c. 6] and Sozomen [1. viii. c. 4], that he was killed in Thrace, and by the precise and authentic dates of the Alexandrian or Paschal Chronicle, p. 307 [ed. Paris; tom. i. p. 567, ed. Bonn]. The naval victory of the Hellespont is fixed to the month Apellaeus, the tenth of the calends of January (December 23); the head of Gainas was brought to Constantinople the third of the nones of January (January 3), in the month Audynaeus.