Today, Samsung has official releases the latest Android firmware for Samsung Galaxy S3 SCH-I535. Unfortunately, this releases not is the latest Android 4.1.2. jelly bean firmware and the firmware info is as below:
Device: Samsung Galaxy S III SCH-I535
Country: United States of America
Android version: 4.1.1 aka Jelly Bean
SMP PREEMPT Fri Nov 30 15:52:16 KST
Build Number: JR003L.I535VRBLK3
This latest firmware with build version I535VRBLK3 brings some of new features and improvement for Samsung Galaxy S3 SCH-I535. The new improvement and feature includes:
Please make sure your battery is fully charged, and you are receiving a strong Verizon Wireless or Wi-Fi signal before beginning your software update. You can download and refer to the instruction here (Link) to learn how to upgrade Galaxy S3 SCH-I535 firmware.