Two tables, primary key of one is foreign key of another (Legacy DB)
I used bi-directional one to one mapping:
@Entity
public class First {
    @Id protected int a;
    @OneToOne(mappedBy ="first", cascade = CascadeType.PERSIST)
    @JoinColumn(name = "a")
    protected Second second;
}
@Entity
public class Second {
    @Id protected int a;
    @OneToOne
    @JoinColumn(name = "a", insertable = false)
    First first;
}
The problem is when running:
public class Persister {
    public static void main(String[] args) {
        EntityManagerFactory aEntityManagerFactory;
        EntityManager aEntityManager;       
        aEntityManagerFactory =
                       Persistence.createEntityManagerFactory("bibit_notification_jpa");
        aEntityManager = aEntityManagerFactory.createEntityManager();
        Second aSecond = new Second();
        aSecond.a = 1;          
        First aFirst = new First();
        aFirst.a = 1;
        aFirst.second = aSecond;
        aEntityManager.getTransaction().begin();
        aEntityManager.persist(aFirst);
        aEntityManager.getTransaction().commit();
      }}
, it throws this exception:
Exception in thread "main" javax.persistence.PersistenceException: java.lang.NullPointerException
    at org.hibernate.ejb.Ejb3Configuration.configure(Ejb3Configuration.java:252)
    at org.hibernate.ejb.HibernatePersistence.createEntityManagerFactory(HibernatePersistence.java:120)
    at javax.persistence.Persistence.createEntityManagerFactory(Persistence.java:51)
    at javax.persistence.Persistence.createEntityManagerFactory(Persistence.java:33)
    at Persister.main(Persister.java:14)
Caused by: java.lang.NullPointerException
    at org.hibernate.cfg.OneToOneSecondPass.doSecondPass(OneToOneSecondPass.java:135)
    at org.hibernate.cfg.Configuration.secondPassCompile(Configuration.java:1130)
    at org.hibernate.cfg.AnnotationConfiguration.secondPassCompile(AnnotationConfiguration.java:296)
    at org.hibernate.cfg.Configuration.buildMappings(Configuration.java:1115)
    at org.hibernate.ejb.Ejb3Configuration.buildMappings(Ejb3Configuration.java:1233)
    at org.hibernate.ejb.EventListenerConfigurator.configure(EventListenerConfigurator.java:154)
    at org.hibernate.ejb.Ejb3Configuration.configure(Ejb3Configuration.java:869)
    at org.hibernate.ejb.Ejb3Configuration.configure(Ejb3Configuration.java:183)
    at org.hibernate.ejb.Ejb3Configuration.configure(Ejb3Configuration.java:240)
    ... 4 more