Last to the party as always, Verizon is finally pushing Android 4.1.2 to its version of the Galaxy Note II. This update also brings some Samsung enhancements like a proper version of multi-window, along with overall bug fixes and enhancements. Overall, it looks like a pretty good one for Big Red's note-taking behemoth.
That pretty much covers the gamut right there. Given that the support document was just updated, the new build should begin rolling out shortly, so keep an eye out for it.