Hi SGH-T599 users!
I don't have this device myself, but a S3mini which is pretty much the same device.
These are reworked images taken from devices with dd-method.
Each tar contains boot.img, cache.img, system.img and recovery.img.
Boot and recovery repacked to be accual size. System and cache totaly repacked to sparse ext4-img files.
I also added supersu, su binary and busybox so these are pre-rooted
If you for some reason want to unroot, go to supersu settings and tick full unroot.
T599-Pre-rooted.zip - 600.17 MB
T599N-Pre-rooted.zip - 572.45 MB
T599V-Pre-rooted.zip - 579.90 MB
Included is also a zipped "modem.bin" If you messed up your modem you can get it flashed to device with Terminal Emulator.
Put "modem.bin" on your sdcard. In TM, type:
su dd if=/sdcard/modem.bin of= dev/block/mmcblk0p16
"one-click-root" (works on s3mini so I think it works here as well)
Enable USB debug. VRoot_188.8.131.5289_english.zip
Otherwise cydiaimpactor is known to work.
Links to related threads which together made everything possible:
[ROM] [4.3.1] [OFFICIAL][Nightlies][Codinaxx Galaxy Exhibit T599X Variants]PAC-Man
[ROM][4.2.2.][UNOFFICIAL] CyanogenMod 10.1 for Galaxy Exhibits
[Recovery][CWM] SGH-T599- Working
[System, Boot & Recovery Dump][8-27-13] SGH-T599 (4.1.2) JZO54K.T599UVAMB5
If coming from CM or other custom rom, FIRST GO TO RECOVERY AND MAKE A FACTORY RESET
HOW TO FLASH:
Download Odin 3.04 and install samsung drivers.
Unzip downloaded firmware.
Open Odin, put phone in download mode (vol-/home/power).
Connect phone to computer, and place the *tar.md5 in PDA-box.
Make sure F-reset time and auto reboot is ticked. Press START.
Attached to this post you'll find a zipped wipe.tar for odin. Unzip and load as pda.
It's just empty cache and should work to break bootloops if you can't get to recovery.
Thanks to @Unjustified Dev @goldfingerfif @exothermic @DJVargas (sorry if I forgot someone) Just let me know and I'll add it.