Catalyst/plack/mojolicious/dancer/dancer2... do it, see Catalyst::Authentication::, plack auth, Mojolicious::Plugin::DigestAuth

So write your application to be compatible with PSGI (ie Plack )

Or write your application as an actual plack/mojo/catalyst application

Use their Digest Access Authentication plugins and you're done

Then you can deploy to any server, as mod_perl/cgi/fcgi.... plackup