The publisher is holding a sweeptstakes (more on how to win below) at the event where you can win one of only five specially made consoles. Take a look at the design for the "Pip-Box" below.
There are two ways to win. First, you can pose for a picture at Bethesda's booth at PAX Prime. Alternatively, you can enter to win from the comfort of your home by retweeting this message from the official Fallout Twitter account. Be sure you're following @Fallout and use the hashtag #VaultOneEleven. Do this and you'll receive one entry into the sweepstakes.
The full terms and conditions of the Fallout 4 Xbox One giveaway sweepstakes are available here [PDF]. You can also win a custom Fallout 4 Xbox One controller from Microsoft at PAX Prime.
In other recent Fallout 4 news, Bethesda says it will not talk much more about the game's story in the lead-up to launch. In addition, Bethesda believes the game could end up outselling The Elder Scrolls V: Skyrim.