Petitioners would need 1984 signatures by June 9.
Of particular note is that this would be one of the very rare recalls of judges. The article notes there have been some attempts, though I'm unclear if they actually got to a vote:
There have been three unsuccessful judicial recall efforts in Nevada since 2003 that submitted signatures, according to Nevada Secretary of State spokeswoman Catherine Lu. Supporters of two other efforts filed intent paperwork but never submitted signatures.