UShorten, the automatic shortlink generator for Joomla!, has now been released.  Originally created for use on CMS Market, it's being released as a free, GPL extension for anyone in the Joomla! community. Now you can have a shortlink/short URL generated for every page on your site. Or just create the custom ones for the pages you care about. It's up to you. Easy to use, but with plenty of customization and tweaking options to suit any site's needs.

More details can be found at the UShorten product page or in the original "Promote your Brand (Using Twitter)" announcement blog post. The support forums have a user guide and other information for support. Enjoy!