Paul, what date? As Jaym wrote, there are some available today thru 6/19. Kearsarge Pass has some available, too -- even some Exiting Mt Whitney!!
North Fork Lone Pine Creek has some available today (6/6) through 6/11.
June 2, LA Times article:
Forest Service officials are canceling permits one week in advance of reservation dates. ... Schweizer (Inyo Nat Forest Spokeswoman) said canceling one week at a time allows officials to resume issuing permits as soon as trails open.
I wouldn't bother to reserve those North Fork Lone Pine Creek permits because at least for me, the Inyo Permit Office would not issue
it to me when I called on Tuesday for today (Sat). The permit lady indicated there is chaos at recreation.gov
probably due to understaffing because of the pandemic. My permit is still in the system now as "No Show" and has not been refunded.
That being said, if you time it right, you may be able to grab some coveted North Fork permits for a date shortly after the Whitney Zone opens.
Paul: In a normal year "W" means walkup/walkin permits, these are being converted piecemeal in the pandemic to reservable permits
even for non-quota (infinite) permits because the Visitor Centers are closed.