Your original post was “I noticed that on the Funny or Die website some of the Videos had an in-video hash tag. How do I code for this?” - there was no link.
From the GigaOM example, it just looks like an overlay on top of the video that activates a web intent when clicked.
Web intents are documented here: https://dev.twitter.com/docs/intents - you can construct URLs to enable users to Tweet with prepopulated content.