Looks like my Nexus 10 battery died *again*. It seems nobody manufactures batteries for it that aren't complete garbage and die after 10 cycles and a few months. Time for a new tablet? I only use it for watching stuff on flights, it seems such a waste... :(
I'm usually pretty good about charging it after a trip (i.e. <24h after it dies). Either way, deep discharge is unlikely to harm 1S packs, which this is. Reverse charge is what kills cells (happens in >2S packs).