I know that some scholars frown upon citing Wikipedia, but let us put that aside for now and talk about what happens when a Wikipedia page is added to Paperpile. Wikipedia has explicit information on the sidebar for each article providing information on how that article should be cited. Here is an example:
According to this page, Cite This Page provides COinS data which I believe Paperpile can read?
Right now publisher, author, and cannonical permalink to the current revision do not seem to be properly stored when adding a wikipedia article. I hope this can be fixed.