persistence.xml looks like this:
org.hibernate.ejb.Hiber
Not sure this is related to the fact that you are deploying as a WAR, but the path should be simply "app-sevices-1.0.jar" and the jar should be in the lib of the Java EE application. The thing is: I'm not sure if this is available for the simplified "war" Java EE application. I suspect this is available only for the traditional Java EE deployment file (ear). I would test making an EAR, containing a WAR for the webapp, JAR for the PU and your other JAR for app-services, like a traditional Java EE deployment would be.
Another thing to note is that relative paths are not supported, and usage of this in SE environment is not supported by all vendors.