It is reported that the iOS 4.3 Verizon iPhone 4 untethered jailbreak will be the next step for hacker teams. Compared to the jailbreak for iOS, the unlock for iPhone 4, iPhone 3GS baseband is needed most by users. iOS 4.3 patched greenpoison, but 4.3 has been jailbroken so just be patient until it is released.
Some body said that: Just tried it with a version of Greenp0ison I downloaded about a month ago on an iPod I just updated to 4.3 and it seems to have worked. No problems, works great for me!
So, the tools of Greenpoison RC 7 can untethered jailbreak iOS 4.3.