iPhone 5s Restart cycle

Hello all, I have an iPhone 5s with a rather peculiar issue, and for all I know I have bricked the poor thing. See, my recent endeavor to see how far the date would go back resulted me going back to January of 1970, accidentally setting that as the date, and then running it out of battery. Now all that happens is the boot screen pops up due to it inherently doing so when there is enough charge, sits there for a while, gets rather warm, and then shuts off. I cannot put it into recovery mode and ReiBoot or iTunes are unable to see it. I would like to get the communities opinion on this rather interesting issue.