Released just yesterday, iOS 6.1 can be jailbroken via the program Redsn0w, but only in tethered mode and only for older iDevices.
As detailed by the Microsoft-focused tech site Redmond Pie, Redsn0w version 0.9.15b3 can jailbreak Apple's latest OS. The jailbreak requires that your device be tethered, meaning you'll have to connect it to your computer each time you restart it.
Further, the latest version of Redsn0w supports only older iDevices with an A4 chip or earlier. That means it'll work on devices like the iPhone 4, iPhone 3GS, and 4th-gen iPod Touch but … Read more