x-ref the python standard library with intersphinx while omitting the module name

Consider the following function:

from pathlib import Path
from typing import Union


def func(path: Union[str, Path]) -> None:
    """My super function.

    Parameters
    ----------
    path : str | Path
        path to a super file.
    """
    pass

When documenting with sphinx, I would like to cross-ref both str and Path with intersphinx. But obviously, it does not work for the latter since it is referenced as pathlib.Path in the objects.inv file.

Is there a way to tell intersphinx/sphinx that Path is from the pathlib module? Without resorting to:

path : str | `pathlib.Path`

or

path : str | `~pathlib.Path`

which does not render nicely in a python interpreter, e.g. IPython.

from x-ref the python standard library with intersphinx while omitting the module name