diff --git a/peps/pep-0770.rst b/peps/pep-0770.rst
index 12aa7ba39ee..1fd6c37f9b8 100644
--- a/peps/pep-0770.rst
+++ b/peps/pep-0770.rst
@@ -204,11 +204,11 @@ Specification
 
 The changes necessary to implement this PEP include:
 
-* A new reserved registry of subdirectory names in the ``.dist-info`` directory.
-* A new reserved optional ``[additional-files]`` table with an optional
-  ``sboms`` key added to
+* Explicitly reserving all subdirectory names in the ``.dist-info`` directory.
+* A new registry of reserved subdirectory names in the ``.dist-info`` directory.
+* An optional top-level table, ``[additional-files]``, added to
   `project source metadata <770-spec-project-source-metadata_>`_,
-  as defined in the `pyproject.toml specification <pyprojecttoml_>`__.
+* An optional ``sboms`` key in the new ``[additional-files]`` table,
 * `Additions <770-spec-project-formats_>`_ to the built distribution (wheel),
   and installed project specifications
 
@@ -218,30 +218,37 @@ generate complete SBOM documents for Python packages.
 
 .. _770-spec-dist-info-subdirs:
 
-Reserved ``.dist-info`` subdirectories registry
------------------------------------------------
+Reserving all subdirectory names in ``.dist-info``
+--------------------------------------------------
+
+This PEP explicitly reserves all subdirectory names in the ``.dist-info``
+directory for future usage.
+
+Build backends MUST NOT create subdirectories in the ``.dist-info`` directory
+beyond the names in the `registry <770-spec-dist-info-subdirs-registry>`_
+to avoid collisions with future reserved names.
+
+Build frontends and publishing tools MAY warn users if any ``.dist-info``
+subdirectories aren't in the registry.
+
+.. _770-spec-dist-info-subdirs-registry:
+
+Registry of reserved ``.dist-info`` subdirectory names
+------------------------------------------------------
 
 This PEP introduces a new registry of reserved subdirectory names allowed in
 the ``.dist-info`` directory for the :term:`distribution archive`
 and :term:`installed project` s project types. Future additions to this registry
 will be made through the PEP process. The initial values in this registry are:
 
-.. table::
-
-    ================= ==========
-    Directory name    PEP
-    ================= ==========
-    ``licenses``      :pep:`639`
-    ``license_files`` N/A (See :ref:`770-backwards-compat`)
-    ``LICENSES``      N/A (See :ref:`770-backwards-compat`)
-    ``sboms``         :pep:`770`
-    ================= ==========
-
-Build backends MUST NOT create subdirectories in the ``.dist-info`` directory
-beyond the names in the registry to avoid collisions with future reserved names.
-
-Build frontends and publishing tools MAY warn users or raise a validation error
-if any ``.dist-info`` subdirectories aren't in the registry.
+================= ==========
+Subdirectory name    PEP
+================= ==========
+``licenses``      :pep:`639`
+``license_files`` N/A (See :ref:`770-backwards-compat`)
+``LICENSES``      N/A (See :ref:`770-backwards-compat`)
+``sboms``         :pep:`770`
+================= ==========
 
 .. _770-spec-project-source-metadata:
 
@@ -411,25 +418,23 @@ Note that this only includes records for
 being pervasively used and somehow load-bearing is unlikely, so is an accepted
 risk of using this method. This query yielded the following results:
 
-.. table::
-
-    ====================== ===============
-    Subdirectory           Unique Projects
-    ====================== ===============
-    ``licenses``           22,026
-    ``license_files``      1,828
-    ``LICENSES``           170
-    ``.ipynb_checkpoints`` 85
-    ``license``            18
-    ``.wex``               9
-    ``dist``               8
-    ``include``            6
-    ``build``              5
-    ``tmp``                4
-    ``src``                3
-    ``calmjs_artifacts``   3
-    ``.idea``              2
-    ====================== ===============
+====================== ===============
+Subdirectory           Unique Projects
+====================== ===============
+``licenses``           22,026
+``license_files``      1,828
+``LICENSES``           170
+``.ipynb_checkpoints`` 85
+``license``            18
+``.wex``               9
+``dist``               8
+``include``            6
+``build``              5
+``tmp``                4
+``src``                3
+``calmjs_artifacts``   3
+``.idea``              2
+====================== ===============
 
 Not shown above are around ~50 other subdirectory names that are used in a
 single project. From these results we can see: