diff --git a/PURL-TYPES.rst b/PURL-TYPES.rst
index 1ace3bd..7a2a62b 100644
--- a/PURL-TYPES.rst
+++ b/PURL-TYPES.rst
@@ -458,13 +458,13 @@ pypi
 ``pypi`` for Python packages:
 
 - The default repository is ``https://pypi.org``. (Previously  ``https://pypi.python.org``.)
-- PyPI treats ``-`` and ``_`` as the same character and is not case sensitive.
-  Therefore a PyPI package ``name`` must be lowercased and underscore ``_``
-  replaced with a dash ``-``.
+- Per `PEP 503 <https://peps.python.org/pep-0503/#normalized-names>`_, normalized PyPI package names should be 
+  lowercased with all runs of the characters ``.``, ``-``, or ``_`` replaced with a single ``-`` character.
 - Examples::
 
       pkg:pypi/django@1.11.1
       pkg:pypi/django-allauth@12.23
+      pkg:pypi/oslo-concurrency@4.5.0
 
 rpm
 ---
diff --git a/test-suite-data.json b/test-suite-data.json
index a819fc8..b8de270 100644
--- a/test-suite-data.json
+++ b/test-suite-data.json
@@ -169,11 +169,11 @@
   },
   {
     "description": "pypi names have special rules and not case sensitive",
-    "purl": "pkg:PYPI/Django_package@1.11.1.dev1",
-    "canonical_purl": "pkg:pypi/django-package@1.11.1.dev1",
+    "purl": "pkg:PYPI/My.PyPI_.--._Package@1.11.1.dev1",
+    "canonical_purl": "pkg:pypi/my-pypi-package@1.11.1.dev1",
     "type": "pypi",
     "namespace": null,
-    "name": "django-package",
+    "name": "my-pypi-package",
     "version": "1.11.1.dev1",
     "qualifiers": null,
     "subpath": null,