Already got your Verizon Galaxy S IV? Here's how to root it.

open1your1eyes0 has posted a guide to rooting the S IV over on XDA.  We've reposted them here for your convenience.  Got your S IV?  Sick of not having root already?  Buckle up, brew a cup of java, and free yourself from the tyranny of user-level access!

Disclaimer: This could brick your phone, kill your cat, and possibly bring Hitler back from the dead.  If nothing else, you'd probably be better off skipping this whole root thing and going for a nice walk.   A little fresh air can be very good for you.  Follow this procedure at your own risk!

Step 1: Prepare your ingredients.

1. Download and Install Samsung Official USB Drivers - Link
2. Download and extract ODIN v3.07 - Link
3. Download the VRUAMD2 Prerelease Kernel - Link
4. Download the VRUAMDK Stock Kernel - Link
5. Download and extract the Motochopper Root Exploit Tool - Link

Step 2: Flash the VRUAMD2 prerelease kernel.

1. Boot phone into ODIN mode (See here for how-to)
2. Flash the VRUAMD2 Prerelease Kernel using ODIN v3.07 ***in PDA section only*** (See here for guide on flashing)
3. Boot back to Android and verifying everything is still working and kernel has flashed successfully.

Step 3: Root it!

1. Verify in Security setting on your device that you have "Unknown sources" checked.
2. Verify in Developer options setting on your device that you have "USB debugging" checked.
3. Verify in Developer options setting on your device that you have "Verify apps via USB" unchecked.
4. Connect your phone to your computer and open "Run.bat" file from the location you have extracted motochopper to.
5. If successful, after your phone reboots, check if SuperSU has any update in the Play Store
6. Open SuperSU app and let the binary update itself to the latest ***VERY IMPORTANT OR YOU WILL LOSE ROOT ON STEP 4***
7. Once complete, just open a root application and verify that is able to access root properly.

Step 4: Restore the stock S IV VRUAMDK kernel.

1. Boot phone into ODIN mode (See here for how-to)
2. Flash the VRUAMDK Stock Kernel using ODIN v3.07 ***in PDA section only*** (See here for guide on flashing)
3. Boot back to Android and verifying everything is still working and kernel has flashed successfully.
4. After your phone boots back to Android, you should now be fully rooted and on the fully original stock firmware as the device came.

You should now have a rooted Verizon Galaxy S IV!

Source: XDA Developers