Inyo National Forest has posted a status report showing 3633 lottery applications so far. ( link )   (Today the count is 4,532.)

The status report also shows dates and numbers of applications to start on that date.
Biggest numbers:
  Overnight hike:  Fri, Aug 09 - 267 applications, 1499 hikers
  Day Hike:          Sat, Aug 17 - 227 applications, 1479 hikers