Who ruled
- Xiongnu Huhanye Chanyu 58 BC–31 BC · Zhizhi Chanyu 56 BC–36 BC
And beyond the steppe
- China Western Han Emperor Xuan 74 BC–49 BC
China
-
Huhanye moves his people south to the Han frontier and sends his son to court as a hostage: the submission of the southern Xiongnu
Also dated 54 BC (one reading, which puts the submission after 54): Reckoned from the reign, not from the chapter's own era date. Also dated 58 BC (one reckoning, which gives Huhanye's reign as 58 to 31 BC): That is the accession, not the submission.
Han Shu 94下 dates it itself: 是歲,甘露元年 — that year was the first of Ganlu.