diff --git a/pep-0399.txt b/pep-0399.txt
index e0ffccac5..d2eb2b969 100644
--- a/pep-0399.txt
+++ b/pep-0399.txt
@@ -35,9 +35,9 @@ used in Java applications.
 
 A problem all of the VMs other than CPython face is handling modules
 from the standard library that are implemented (to some extent) in C.
-Since they do not typically support the entire `C API of Python`_ they
-are unable to use the code used to create the module. Often times this
-leads these other VMs to either re-implement the modules in pure
+Since they do not typically support the entire `C API of CPython`_
+they are unable to use the code used to create the module. Often times
+this leads these other VMs to either re-implement the modules in pure
 Python or in the programming language used to implement the VM
 (e.g., in C# for IronPython). This duplication of effort between
 CPython, PyPy, Jython, and IronPython is extremely unfortunate as
@@ -231,5 +231,5 @@ This document has been placed in the public domain.
 .. _IronPython: http://ironpython.net/
 .. _Jython: http://www.jython.org/
 .. _PyPy: http://pypy.org/
-.. _C API of Python: http://docs.python.org/py3k/c-api/index.html
+.. _C API of CPython: http://docs.python.org/py3k/c-api/index.html
 .. _sqlite3: http://docs.python.org/py3k/library/sqlite3.html