White Boxes at the Top of iPhone 5 Screen. What to do?

Just activated my new iPhone 5 (64GB). After migrating the data from my previous iPhone I noticed a line of bright boxes at the top of the screen.

The stripes are quite faded if the screen has been off for a few minutes, but then get brighter, which makes me think "hardware problem." But look at the botom right frame. Sometimes the black bar showing reception, time, and battery status overlaps the white boxes and displays just fine. Which says "software." Has anybody else experienced this? Rebooting the phone didn't solve the issue (as you can see in the top right frame).