Yes. Your name is taken and the location you SAY you are going to be in if using a dispersed site.
Any open flame here, regardless of the ignition/burn source, with the exception of fire rings, in monitored designated camp areas, requires a permit. Inside your trailer does not require a permit.
San Bernardino NF Fire restrictions
They have caught and charged more than a few people here with fire clean up from thier irresponsible use by tracking thier permits.
Unfortunately, most are never caught.
As mentioned, this is probably the biggest tinderbox in the country right now. Last weeks news explains that graphically.