So I received my pebble on 02/08/13. I took it out, powered it on, updated the firmware and connected the charging cable and let it charge for a while. I never saw an indicator but I thought that was normal.
Today my pebble shut off and when I tried to power it back on it told me there was a low battery. Again, I connected my charger and let it charge for a few hours, only to discover it still said low battery. I tried a reboot and factory reset and now my Pebble will not turn on/show any display whatsoever.
I've sent the Pebble team an e-mail through the Android app but have not heard anything, and right now am sitting with a very expensive paperweight.
Update: Still no email from support, and after having my Pebble connected all night to charge, it still won't turn on. No combination of button presses displays anything on the screen, so looks like I'll be sending it back whenever the team gets back to me. Hopefully they produced a few extra for warranty purposes and I won't have to wait forever to receive a new one.
I'm also wondering if the charging cable is bad as well. It's a shame, I really enjoyed the watch in the brief time I got to use it.