|Saozi Mian at Xi'an Gourmet|
I think it's fair to say the origins of the dish's name, as well as of the dish itself, are lost in antiquity. According to People's Daily Online,
Qishan* Saozi Mian (Qishan-style noodles with minced meat) has a long history. It began as early as in the Zhou Dynasty (1046 BC – 256 BC). It is a kind of noodles poured with pork soups (Saozi means diced meat) plus tofu, dried lily flowers, agaric,kelp, carrots and Chinese chives or garlic sprouts and tastes sour and hot, leaving people delicious aftertastes.
Where slurped: Xi'an Gourmet, 3741 Geary Boulevard, San Francisco
*Qishan is a district in Shaanxi reputed to be a cradle of saozi mian, and the dish is sometimes called Qishan mian (perhaps to avoid the "sao" connotations) or Qishan saozi mian.