The emperor campaigned in person, beheaded Xin's general at Tongdi, and Xin fled to the Xiongnu; from then on he won battle after battle from Jinyang to Loufan. (Book of Han (Hanshu), Imperial Annals 漢書卷001 漢高祖七年十月)
In extreme cold, with soldiers' fingers falling off, he was besieged for seven days by the Xiongnu at Pingcheng (the Baideng siege); Chen Ping's secret plan enabled his escape. (Book of Han (Hanshu), Imperial Annals 漢書卷001 漢高祖七年十月)
In autumn the Xiongnu besieged Han Xin, King of Han, at Mayi; Xin negotiated for peace but was suspected, so in the ninth month he gave up Mayi; Modu crossed Jiuzhu and attacked Taiyuan and Jinyang. (Zizhi Tongjian (Comprehensive Mirror) 資治通鑑 卷011 (원문 단락 #794, -201년))