Update: PyPi is now powered by Warehouse, which is the replacement for Cheese Shop.
The source to Cheese Shop can be downloaded from https://bitbucket.org/pypa/pypi/src. There is also an example, from the page you linked to, of using Apache as a "dumb" Python package repository:
# Mount pypi repositories into URI space
Alias /pypi /var/pypi
# /pypi/dev: Redirect for unknown packages (fallback to pypi)
RewriteCond /var/pypi/dev/$1 !-d
RewriteCond /var/pypi/dev/$1 !-f
RewriteRule ^/pypi/dev/([^/]+)/?$ http://pypi.python.org/pypi/$1/ [R,L]
RewriteCond /var/pypi/dev/$1/$2 !-f
RewriteRule ^/pypi/dev/([^/]+)/([^/]+)$ http://pypi.python.org/pypi/$1/$2 [R,L]
# /pypi/stable: Redirect for unknown packages (fallback to pypi)
RewriteCond /var/pypi/stable/$1 !-d
RewriteCond /var/pypi/stable/$1 !-f
RewriteRule ^/pypi/stable/([^/]+)/?$ http://pypi.python.org/pypi/$1/ [R,L]
RewriteCond /var/pypi/stable/$1/$2 !-f
RewriteRule ^/pypi/stable/([^/]+)/([^/]+)$ http://pypi.python.org/pypi/$1/$2 [R,L]