Hi Jeffrey,
Paperpile accepts proxy URLs of this form, which usually look like this:
http://proxy.library.myuniversity.edu/login?url=$@
Here, '$@" is just a placeholder that Paperpile will e.g. replace with the URL where to search for PDF file. That can then be something like http://ww.nature.com/…
The URL might look different for your institution, but there should be something like “url=” or “qurl=” where Paperpile can insert the URL that we actually want to be proxyfied. Here is a list of some examples: https://ezproxy-db.appspot.com/
A quick Google search did not return any results for your institution. The best would be to consult with your library.