rename module, move "Module name" section

Author: skirpichev

peps/pep-0791.rst

@@ -1,5 +1,5 @@
 PEP: 791
-Title: imath --- module for integer-specific mathematics functions
+Title: intmath --- module for integer-specific mathematics functions
 Author: Sergey B Kirpichev <[email protected]>
 Sponsor: Victor Stinner <[email protected]>
 Discussions-To: https://discuss.python.org/t/92548
@@ -34,7 +34,7 @@ when explicitly noted otherwise, all return values are floats."  This is no
 longer true:  *None* of the functions listed in the `Number-theoretic
 functions <https://docs.python.org/3.14/library/math.html#number-theoretic-functions>`_
 subsection of the documentation return a float, but the
-documentation doesn't say so.  In the documentation for the proposed ``imath`` module the sentence "All
+documentation doesn't say so.  In the documentation for the proposed ``intmath`` module the sentence "All
 return values are integers." would be accurate.  In a similar way we
 can simplify the description of the accepted arguments for functions in both the
 new module and in :external+py3.14:mod:`math`.
@@ -82,7 +82,7 @@ Specification
 =============
 
 The PEP proposes moving the following integer-related functions to a new
-module, called ``imath``:
+module, called ``intmath``:
 
 * :external+py3.14:func:`~math.comb`
 * :external+py3.14:func:`~math.factorial`
@@ -134,31 +134,6 @@ Reference Implementation
 Open Issues
 ===========
 
-Module name
------------
-
-The chosen name seems consistent with one existing domain-specific mathematical module:
-:external+py3.14:mod:`cmath` (for complex numbers).
-
-We note the `Imath
-<https://github.com/AcademySoftwareFoundation/Imath>`_ C++ library includes
-Python bindings with the same name.  There is also an :pypi:`imath` project on
-PyPI, but only with two releases, with the most recent one four years ago.  Its
-repository is no longer accessible.
-
-`Polling showed <https://discuss.python.org/t/91337/35>`_ ``intmath`` as another
-popular name.  The argument made was that the normal mathematical spelling of
-the imaginary unit is ``i``, which makes ``imath`` ambiguous.  It also has no conflict
-with any PyPI module.  On the other hand, ``intmath`` may be confused with
-interval math or numerical integration.
-
-Other proposed names include ``ntheory`` (like SymPy's submodule),
-``integermath``, ``zmath``, ``dmath`` and ``imaths``.
-
-As a variant, the new module can be added as a submodule of the
-:external+py3.14:mod:`math` (e.g. ``integer``, ``discrete`` or ``ntheory``).
-
-
 Module scope and possible extensions
 ------------------------------------
 
@@ -192,6 +167,23 @@ compatible interface for the stdlib.
 Rejected ideas
 ==============
 
+Module name
+-----------
+
+`Polling showed <https://discuss.python.org/t/92548/67>`_ ``intmath`` as most
+popular candidate with ``imath`` as a second winner.
+
+Other proposed names include ``ntheory`` (like SymPy's submodule),
+``integermath``, ``zmath``, ``dmath`` and ``imaths``.
+
+As a variant, the new module can be added as a submodule of the
+:external+py3.14:mod:`math`: ``integer`` (most preferred), ``discrete``
+or ``ntheory``.
+
+
+:external+py3.14:func:`~math.isqrt` renaming
+---------------------------------------------
+
 There was a brief discussion about exposing :external+py3.14:func:`math.isqrt`
 as ``imath.sqrt`` in the same way that :external+py3.14:func:`cmath.sqrt` is
 the complex version of :external+py3.14:func:`math.sqrt`.  However, ``isqrt``