Since you are looking for Absinthe jailbreak for your iPhone 3gs you are on my page. Absinthe jailbreak was released recently which is compatible with iPhone4S and iPad2. 3gs jailbreak is already available which is untethered and compatible with your device running on any system i.e. 4.3.3 to 5.0.1. What I suggest to you is to visit below tutorial for jailbreaking your 3gs which is now very simple by using RedSn0w 0.9.10b4 and you don’t need absinthe for 3gs. That is so simple so just click below link and jailbreak your iphone 3gs device untethered.
How to Jailbreak iPhone 3gs Untethered.