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As per Apple's promise of delivering a free Mountain Lion upgrade to customers who've bought a Mac on or after June 11th, a web form has gone live on Apple's site that asks for purchase details and delivers a redeem code upon approval.
Apple calls it the "OS X Mountain Lion Up-to-Date Program."
From Apple's site:
Customers who purchase a qualifying Mac between June 11, 2012 and the date when Mountain Lion is available in the Mac App Store will have 30 days from the date Mountain Lion becomes available to make their Up-To-Date request.Customers who purchase a qualifying Mac after Mountain Lion becomes available in the Mac App Store will have 30 days from the date they purchase their Mac to make their Up-To-Date request.
The form asks for the date and place of purchase, personal details of the buyer, and serial number of the Mac.
According to MacRumors, who gave the whole process a try, the redeem code is sent via email, in a password protected PDF, the password for which is sent in another email. The code can then be entered on the Mac App Store, once Mountain Lion goes live. (For the entire text of the email, head over to MacRumors.)
We'd advise you to wait for the release, and only then fill in the form at this link.
Although the release date for Mountain Lion isn't announced yet, it's widely anticipated that the OS would go live on the Mac App Store a day after Apple's earnings call, which is scheduled for Tuesday. OS X Lion release followed the same pattern.
That makes Wednesday, the 25th, a very likely date for release.
Mountain Lion would be available for $19.99