What do people call Du Mu, such as Li Bai's poetic immortal?

Du Mu doesn't have a poem or anything.

Du Mu, a native of Mu Zhi, is called Du Weizi. (Source: Zhongshu Province is also known as the province, so it is called "Du")

Du Mu is called "Xiao Du" and Li Shangyin is also called "Du Xiaoli". Because he lived in South Fan Chuan Villa in Chang 'an in his later years, he was later called "Du Fanchuan" and wrote "Collected Works of Fan Chuan".