How to get the statically binded class in Java?

Question

Say

class E extends B {}
class B extends A {}

We have,

B v = new E();
process(v);

We know it is true that,

v.getClass() == E.class

Is there a way to tell the static binding for v is exactly B programmatically?

EDIT: The original idea was to have a one line check for overloaded methods. Something like,

   process(A a) {
     // ... code for a.processABC();
     if (a.getStaticBindingClass() == B.class) { // not a subclass of B
        // Additional logic for statical binding case.
         ... 
     }
     // ... code for a.processDEF();
   }

It is possible to introduce process(B b); However, there is lots of copy code from process(A a).