Earlier quoted context omitted.
There's a buyer protection plan if you purchased after august 12th. $100 refund by the looks of it. You'll have to wade through the support prompts, but start at: https://support.google.com/nexus/4/ and click 'Contact Us' to get to the form. Edit: you'll need the order number and the device IMEI
Great success, thanks
Props to Google for it being an automated process, not so much for total lack of promoting the refund.