Yesterday Verizon snuck out an OTA update for the Galaxy Note 2. The update brings the device to 4.1.2 and the build number is VRAMC3. If you are currently running a custom Rom then you would have to get back to stock with stock recovery to install this update over the air. That is kind of a pain in the neck. Thanks to developer BeansTown106 you can simply flash the update in custom recovery. He put together a prerooted deodexed/odexed Stock build in zip form. You can grab it at the source link below!
Via XDA
Via XDA