A Whitney Zone day permit (part of the lottery) allows you to climb Russell, the Mountaineers’ Route, the technical routes on Whitney, the main trail, and anything else in the Whitney Zone. If you’re going overnight, there are two possible permits. The main trail permit is part of the lottery. I believe that the North Fork of Lone Pine Creek permit is not part of the lottery. It should be available six months in advance, just like most other non-Whitney Inyo Permits.
