Very weird, but this has been happening since I got my iPhone 5 and I figure I can't be the only person, but let's see: If I have LTE enabled, iMessage will work for a while, then break. So will push notifications. This seems to be related to other threads about the time/date being incorrect for people using Verizon iPhone 5s, but my time/date never seems to noticeably change. However, if I have LTE enabled, EVEN IF I'M USING WIFI, iMessage inevitably breaks. The only thing to solve it is to restart the phone or toggle on/off automatic date/time setting, etc. And even then, it will break again soon after. However! If I disable LTE in Settings > General > Cellular, this problem goes away completely and iMessage never stops working. It would seem, from reading other threads, that something is wrong with Verizon's LTE network (I'm in LA, BTW) where it will incorrectly change the date/time of iPhone 5 devices at random which causes this whole thing to break down. Verizon, of course, claims this isn't the case. And Apple claims it is Verizon's fault. My old iPhone 4S never had this problem, and my wife's iPhone 4 doesn't have it either, both on Verizon. It's definitely related to LTE. Anyone else?