diff --git a/pep-0503.txt b/pep-0503.txt
index 3b7087113..e74979f04 100644
--- a/pep-0503.txt
+++ b/pep-0503.txt
@@ -32,7 +32,7 @@ the top level URL that all additional URLs are below. The API is named the
 ``https://pypi.org/simple/``.
 
 .. note:: All subsequent URLs in this document will be relative to this base
-          URL (so given PyPI's URL, an URL of ``/foo/`` would be
+          URL (so given PyPI's URL, a URL of ``/foo/`` would be
           ``https://pypi.org/simple/foo/``.
 
 
@@ -52,14 +52,14 @@ link to the URL for that particular project. As an example::
 Below the root URL is another URL for each individual project contained within
 a repository. The format of this URL is ``/<project>/`` where the ``<project>``
 is replaced by the normalized name for that project, so a project named
-"HolyGrail" would have an URL like ``/holygrail/``. This URL must respond with
+"HolyGrail" would have a URL like ``/holygrail/``. This URL must respond with
 a valid HTML5 page with a single anchor element per file for the project. The
-text of the anchor tag **MUST** be the filename of the file and the href
-attribute **MUST** be an URL that links to the location of the file for
-download. The URL **SHOULD** include a hash in the form of an URL fragment with
-the following syntax: ``#<hashname>=<hashvalue>``, where ``<hashname>`` is the
-lowercase name of the hash function (such as ``sha256``) and ``<hashvalue>`` is
-the hex encoded digest.
+href attribute **MUST** be a URL that links to the location of the file for
+download, and the text of the anchor tag **MUST** match the final path
+component (the filename) of the URL. The URL **SHOULD** include a hash in the
+form of a URL fragment with the following syntax: ``#<hashname>=<hashvalue>``,
+where ``<hashname>`` is the lowercase name of the hash function (such as
+``sha256``) and ``<hashvalue>`` is the hex encoded digest.
 
 In addition to the above, the following constraints are placed on the API: