This listing is for a Vandoren Bb soprano clarinet mouthpiece. It is stamped 11.1 (with a circle/dot) on top (and "111" on the side), and it is a profile "88" version. This seems to be a pretty rare model. I can't find any information on it, or many other examples for sale. The tip opening measures 1.1mm (.043"). It is made of hard rubber, not plastic. 

This mouthpiece is in excellent used condition. The facing is perfectly smooth, and original. There are no tooth indentations on the beak. The rubber is still black and shiny. The logo/markings are slightly worn. There are no significant scratches on the exterior. The cork is in excellent condition. This mouthpiece has been cleaned/sanitized.