OK, the Apple has issued the iOS 6.1.2 to address the lingering bugs in the iOS 6.1.1.
This was followed by the Evasi0n 4.1 by the Evad3rs team to allow jailbreak fully untethered.
All iOS devices that are able to run iOS 6.0 through 6.1.2 are supported, including the 5th-gen iPhone. The only exception is the recently released Apple TV 3, which cannot be jailbroken at the moment.
Although jailbreaking is a far safer than expected by many, it is always advisable to back uyp your data using ITunes or iClound..... just in case.
For those wanting to know how to jailbreak, Redmond Pie has given out a step by step tutorial as under. This tutorial is for those who previously have not used Evasi0n to jailbreak iOS 6 or jailbreak iOS 6.1, since the procedure as just the same.
Here we go - the SIX stepped tutorial:
Step 1: Update your device to iOS 6.1.2 using iTunes (download iOS 6.1.2 from here): if you are jailbreaking your device, why not update it to the latest version of iOS? OTA updates might mess with the jailbreak, therefore a fresh restore via iTunes is strongly recommended.
Step 2: Turn off Passcode Lock in case you have it enabled. In order to do this, simply head on over to Settings > General > Passcode Lock > Off.
Step 3: Download Evasi0n 1.4, which adds the support for 6.1.2 [for Windows, Mac or Linux]
Step 4: Start up Evasi0n on your computer and simply click on the “Jailbreak” option. Kick back or grab a cup of coffee as Evasi0n does its work and jailbreaks your device. Remember not to touch anything while your device is being jailbroken.
Step 5: Once this is done, your device should boot straight back. You will see a new Jailbreak icon on your home screen. Tap on it in order to finish the process.
Step 6: Your device will now reboot quite a few times for a short while, before it boots into the jailbroken state. Once this is finally done, your device should boot back in a jailbroken state.
Well that is it - simple. However if you still want more on it, watch video of the tutorial on how to jailbreak iOS 6.x untethered using Evasi0n at Redmond Pie