On Recreation.gov, this is posted:

Attention: The Mount Whitney lottery is open through March 15, 2014, 11:59 p.m., Eastern Time!

This lottery is for permits with entry dates between May 1, 2014 and November 1, 2014. However, the trail may not be clear of snow for early or late season dates.

Trips sponsored by organizations or commercial groups must contact the Inyo National Forest wilderness permit office before applying for a Mt. Whitney permit.

Fees: No Refunds

Transaction Fee: One application may list up to 15 trip choices and 3 alternate leaders for one $6.00

Transaction Fee: Please submit only one application per group.

Reservation Fee: Lottery winners must pay a $15.00 per person reservation fee by April 30, 2014 to claim any awarded date. Unclaimed dates will be canceled.
Seasonal trail information, Lottery Tips & Statistics, can be found here.

Click here to start a lottery application or enter your preferred date and search.