REST services are available from http://webservice.bridgedb.org/. Full documentation can be found here.
Open PHACTS: Linked Data API
Open PHACTS provides a REST-like interface to Map URLs from one database to another, using BridgeDb technology. To use the service, you need a free API key.
Open PHACTS: Identifier Mapping Service
The Identifier Mapping Service (IMS) is a key component underlying the Open PHACTS platform. This is complemented with a QueryExpander with a dedicated service to map URIs.
The IMS can resolve identifiers loaded from the Open PHACTS linkset collection:
For your own installation of the Identity Mapping Service you can try the IMS docker image.