diff --git a/documentation/ref-manual/classes.rst b/documentation/ref-manual/classes.rst
index f6f341e104..6462a86dad 100644
--- a/documentation/ref-manual/classes.rst
+++ b/documentation/ref-manual/classes.rst
@@ -2018,7 +2018,8 @@ some cases you may need to set it manually in the recipe by setting
:term:`PYPI_PACKAGE`.
Variables set by the ``pypi`` class include :term:`SRC_URI`, :term:`SECTION`,
-:term:`HOMEPAGE`, :term:`UPSTREAM_CHECK_URI`, and :term:`UPSTREAM_CHECK_REGEX`.
+:term:`HOMEPAGE`, :term:`UPSTREAM_CHECK_URI`, :term:`UPSTREAM_CHECK_REGEX`
+and :term:`CVE_PRODUCT`.
.. _ref-classes-python_flit_core:
diff --git a/documentation/ref-manual/variables.rst b/documentation/ref-manual/variables.rst
index 2685c61219..f2d6f7f9f4 100644
--- a/documentation/ref-manual/variables.rst
+++ b/documentation/ref-manual/variables.rst
@@ -1474,7 +1474,9 @@ system and gives an overview of their function and contents.
In a recipe, defines the name used to match the recipe name
against the name in the upstream `NIST CVE database `__.
- The default is ${:term:`BPN`}. If it does not match the name in the NIST CVE
+ The default is ${:term:`BPN`} (except for recipes that inherit the
+ :ref:`pypi ` class where it is set based upon
+ :term:`PYPI_PACKAGE`). If it does not match the name in the NIST CVE
database or matches with multiple entries in the database, the default
value needs to be changed.