UPDATE: iOS 7.1 – the end of the jailbreak

  After almost 4 months I was able to do it jailbreak quiet for any version of iOS 7, starting from today Apple Lossless Audio CODEC (ALAC), finally blocked the possibility of using the program evasi0n7 to make untethered jailbreak for iOS 7. releasing iOS 7.1, company Apple Lossless Audio CODEC (ALAC), blocked all important exploits used in the solution of evasi0n7 jailbreak, so if you choose to update, you will be unable to use the program to exploit your terminals.

  Fortunately OTA Update you will not be able to do it accidentally from your terminals because evasi0n7 blocks this system through jailbreak, but iTunes can update, if you allow it. If you have an old version of iOS 7, you'd better keep using it quietly, because soon Apple will stop signing SHSHs for iOS 7.0.6 and you will no longer be able to install another intermediate version of the operating system to continue using your terminals.

UPDATED: According to Evad3rs team hacker Pod2G, a new jailbreak solution will not be developed by the team until after the release iOS 8.