The DEV teams have released their official upgrade and jailbreak to iPhone firmware 1.1.3. There are now three tutorials posted for this jailbreak. I strongly recommend the Installer one as it is much easier and less prone to error. More information will be posted as I find it!
You can find the tutorials here:
Mac: How to Officially Update and Jailbreak to 1.1.3 iPhone Firmware
Windows: How to Officially Update and Jailbreak to 1.1.3 iPhone Firmware Using Windows
Installer: How to Officially Update and Jailbreak to 1.1.3 iPhone Firmware Using Installer
You can find the tutorials here:
Mac: How to Officially Update and Jailbreak to 1.1.3 iPhone Firmware
Windows: How to Officially Update and Jailbreak to 1.1.3 iPhone Firmware Using Windows
Installer: How to Officially Update and Jailbreak to 1.1.3 iPhone Firmware Using Installer