"org.hibernate.AnnotationException: No identifier specified for entity" in Hibernate 4

Issue

• Deploying Hibernate entity classes as a static module in EAP
• Encountering an error when deploying an application that contains a persistence unit (persistence.xml) that references the entity classes

... javax.persistence.PersistenceException: [PersistenceUnit: com.myco.jpa] Unable to build EntityManagerFactory
        at org.hibernate.ejb.Ejb3Configuration.buildEntityManagerFactory(Ejb3Configuration.java:925)
        at org.hibernate.ejb.Ejb3Configuration.buildEntityManagerFactory(Ejb3Configuration.java:900)
        at org.hibernate.ejb.HibernatePersistence.createEntityManagerFactory(HibernatePersistence.java:59)
        at javax.persistence.Persistence.createEntityManagerFactory(Persistence.java:63)
        at javax.persistence.Persistence.createEntityManagerFactory(Persistence.java:47)
        ...
Caused by: org.hibernate.AnnotationException: No identifier specified for entity: com.myco.jpa.MyEntity
        at org.hibernate.cfg.InheritanceState.determineDefaultAccessType(InheritanceState.java:277)
        at org.hibernate.cfg.InheritanceState.getElementsToProcess(InheritanceState.java:224)
        at org.hibernate.cfg.AnnotationBinder.bindClass(AnnotationBinder.java:707)
        at org.hibernate.cfg.Configuration$MetadataSourceQueue.processAnnotatedClassesQueue(Configuration.java:3680)
        at org.hibernate.cfg.Configuration$MetadataSourceQueue.processMetadata(Configuration.java:3634)
        at org.hibernate.cfg.Configuration.secondPassCompile(Configuration.java:1381)
        at org.hibernate.cfg.Configuration.buildSessionFactory(Configuration.java:1841)
        at org.hibernate.ejb.EntityManagerFactoryImpl.<init>(EntityManagerFactoryImpl.java:96)
        at org.hibernate.ejb.Ejb3Configuration.buildEntityManagerFactory(Ejb3Configuration.java:915)
        ...

• The entity (MyEntity) does contain the @Id annotation