I was able to find some information on Framework 4.5 and the integration of SSL certificates to a RESTful web API over at the ASP.net development center. Here are instructions on working with SSL in Web API:
In addition, I was able to locate some resources on configuring a port to work with SSL when creating a self-hosted Windows Communication Foundation (WCF) service. This information may also be useful to you.
If you have any other qustions, please let us know. We're always happy to help.