Is there a hosted version of Twitter Bootstrap?

BootstrapCDN.com

Hosts the Javascript, CSS, and Image files.

Additionally hosts the Font Awesome CSS and a selection of Bootswatch themes.

Maintained by @jdorfman and @mervinej.

Hosts the JavaScript, CSS and Image files. Check the GitHub repo for more specifics.

Also hosts a ton of other JS libraries, including plenty of Bootstrap plugins/addons.

Maintained by @peterdavehello.

This is a common request: Direct download links (or CDN) Also looks like the library not on any CDN at the moment.

You could use the raw github files, although this is not good practise, see: Should Github be used as a CDN for javascript libraries?