With the official Jelly Bean (Android 4.1.1) update out for Verizon’s version of the Galaxy S3, we can imagine that some of you may have lost root in the process. Thankfully, an updated method to unlock the bootloader on the device (if you haven’t already) and root it is available.
The steps in the XDA thread below are about as straight forward as it gets. You need Odin (to flash some of the files), current and older firmware files for the device, SuperSU, and custom recovery. If you can’t follow the step-by-step guide linked below, a video of the instructions is included as well.