Update: Via Twitter, Verizon states "VZW is investigating customer issues in connecting to the 4GLTE data network. 3G data, voice and text services are operating reliably." However, we're hearing reports that 3G is down for customers as well in some areas.
Update 2: VZW is now reporting that "After a brief issue this morning, 4G LTE service is fully restored" via a follow-up tweet.
[Thanks to everyone who sent this in]