@Resource(name = "DefaultManagedExecutorService")
    ManagedExecutorService executor;

   public String myRestMethod() {
        executor.submit(new SolverCallable());
        return "Submitted.";
   }

   private class SolverCallable implements Runnable {

        public void run() {
              throw new IllegalStateException("Tweety bird: Please Sylvester, don't eat me!");
        }
   }