You can apply for your wilderness permit 24-weeks in advance.... either by phone (209-372-0740 or on-line:
www.yosemitesecure.org/wildpermit/I sent my application on-line on the date of "24-weeks prior" and got an email confirmation a couple hours later. I received a Written confirmation the following week.
While filling out the on-line form it will ask your entry date and location, as well as exit date and location. Just scroll down to "Whitney Portal". You can pick up your permit the day before your entry date, and it will include a stamp for the "Whitney Zone".
Have a great hike!! When are you hoping to be on the trail?