> Both https://github.com/python/cpython/pull/18066 (collections module) and https://github.com/python/cpython/pull/18032 (asyncio module) ran into the problem where porting them to multi-phase initialisation involves replacing their usage of the `_Py_IDENTIFIER` macro with some other mechanism.

What is the problem between _Py_IDENTIFIER and multi-phase initialisation modules?

If both are incompatible, we may need a different but similar API: values would be stored in a hash table per module object. The hash table can be stored in the module object directly, or it can be store in a second hash table (module => hash table).

If we want a unified API, maybe we can use module=NULL (or any other marker) for "global" identifiers (not specific to a module).