I looked through the API documentation but couldn\'t find it. It would be nice to grab that number to see how popular a url is. Engadget uses the twitter share button on a
No.
How do I access the count API to find out how many Tweets my URL has had?
In this early stage of the Tweet Button the count API is private. This means you need to use either our javascript or iframe Tweet Button to be able to render the count. As our systems scale we will look to make the count API public for developers to use.
http://dev.twitter.com/pages/tweet_button_faq#custom-shortener-count