I have just got this Google short URL domain but have not find it for public please see it here

http://goo.gl/

Google URL Shortener at goo.gl is a service that takes long URLs and squeezes them into fewer characters to make a link that is easier to share, tweet, or email to friends. The core goals of this service are:

• Stability – ensuring that the service has very good uptime
• Security – protecting users from malware and phishing pages
• Speed – fast resolution of short URLs

Google URL Shortener is currently available for Google products and not for broader consumer use.

the tech giant revealed that the Google Toolbar and the FeedBurner syndication service now utilize Goo.gl for link sharing.