As reported earlier, Sn0wbreeze 3.1.3 v1.4 is out now and is able to jailbreak iPhone 3GS, 3G, 2G and can also jailbreak iPod Touch 1G. In this iPhone guide.
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Jailbreak iPod Touch OS 3.1.3 using Sn0wbreeze 3.1.3 | iPhoneHeat