iOS 6.1 is released, but won't install on iPod touch 5 (update)

Apple has released iOS 6.1 for iPhone, iPad, and iPod touch. However the 5th generation of the iPod touch line is unable to install the update. A source inside the Apple development community told me that many developers complained of this and that Apple was aware of the problem since the beta releases, but chose to release the final version to the public today anyway. Both methods for the update fail, over-the-air and tethering to iTunes via a computer.

The update should work just fine on iPhone, iPad, and the 4th generation iPod touch. However people with the 5th generation iPod touch are currently out of luck.

Update:Apple fixed the issues that caused an interruption with the update to the 5th generation iPod touch, and now you can proceed with the iOS 6.1 update.