Serialize Python code object (from compile())

Question

After creating a Python code object via

code = """a = 5
a += 6
print(a)
"""

obj = compile(code, "foobar.py", "exec")
print(obj)

<code object <module> at 0x7f6bef0ea190, file "foobar.py", line 1>

I would like to store that object in a string or file such that I can later construct the obj from the file again. (I do not want to store the plain string.)