diff --git a/peps/pep-0759.rst b/peps/pep-0759.rst
index 7fea965deb1..810f4d19247 100644
--- a/peps/pep-0759.rst
+++ b/peps/pep-0759.rst
@@ -158,11 +158,12 @@ This PEP proposes an approach that favors such operational simplicity.
 Specification
 =============
 
-A new type of uploadable file is defined, called a "RIM" (i.e. ``.rim``) file, so named to
-evoke the image of a wheel with the tire removed, and backronymed to "Remote Installable
-Metadata" files. ``.rim`` files are easily derivable from wheels, and the process of
-turning a wheel into a ``.rim`` is outlined below. The file name format exactly matches
-the `wheel file naming format`_ specification, except that RIM files use the suffix
+A new type of uploadable file is defined, called a "RIM" (i.e. ``.rim``), or "Remote
+Installable Metadata" file.  The name evokes the image of a wheel with the tire removed,
+and emphasizes that ``.rim`` files are easily derived from ``.whl`` files.  The process of
+turning a ``.whl`` into a ``.rim`` is :ref:`outlined below <dismounting>`. The file name
+format exactly matches the :ref:`wheel file naming format
+<packaging:wheel-file-name-spec>` specification, except that RIM files use the suffix
 ``.rim``. This means that all the tags used to discriminate ``.whl`` files also
 distinguish between different ``.rim`` files, and thus can be used during dependency
 resolution steps, exactly as ``.whl`` files are today. In this respect, ``.whl`` and
@@ -182,12 +183,13 @@ This is a JSON file contains containing the following keys:
     This is the file format version, which for this PEP **MUST** be ``1.0``.
 ``owner``
     This **MUST** name the PyPI organization owner of this externally hosted file, for
-    reasons which will be described in detail below.
+    reasons which will be described in :ref:`detail below <resiliency>`.
 ``uri``
     This is a single URL naming the location of the physical ``.whl`` file hosted on an
     external site. This URL **MUST** use the ``https`` scheme.
 ``size``
-    This is an integer value describing the size in bytes of the physical ``.whl`` file.
+    This is an integer value describing the size in bytes of the physical ``.whl`` file on
+    the remote host.
 ``hashes``
     This is a dictionary of the format described in :pep:`694`, used to capture both the
     :pep:`694#upload-each-file` of the physical ``.whl`` file, with the same
@@ -247,6 +249,8 @@ repository version`_ is not necessary. Since ``.rim`` files are essentially chan
 to the upload API, package resolvers and package installers can continue to function with
 the APIs they've always supported.
 
+.. _resiliency:
+
 External hosting resiliency
 ===========================
 
@@ -303,6 +307,8 @@ provide a useful error message to the end user:
    downloaded. Please contact support@foo.example.com for help. Do not report
    this to the PyPI administrators.
 
+.. _dismounting:
+
 Dismounting wheels
 ==================
 
@@ -456,7 +462,6 @@ This document is placed in the public domain or under the
 CC0-1.0-Universal license, whichever is more permissive.
 
 .. _`exception request support tickets`: https://github.com/pypi/support/issues?q=is%3Aissue+is%3Aclosed+file+limit+request
-.. _`wheel file naming format`: https://packaging.python.org/en/latest/specifications/binary-distribution-format/#file-format
 .. _`allowed`: https://packaging.python.org/en/latest/specifications/binary-distribution-format/#the-dist-info-directory
 .. _`signed wheel file format`: https://packaging.python.org/en/latest/specifications/binary-distribution-format/#signed-wheel-files
 .. _`simple repository API`: https://packaging.python.org/en/latest/specifications/simple-repository-api/#