The following code, which seems reasonable:
import io
import pickle

class Pickler(pickle.Pickler):
  def persistent_id(self, obj):
    return super().persistent_id(obj)

Pickler(io.BytesIO()).dump(42)

crashes with:
RecursionError: maximum recursion depth exceeded while calling a Python object

It works perfectly when inheriting from pickle._Pickler (the Python implementation).