I double checked on this through the BLM and it seems like it is one of those unspoken rules that isn't enforced, however in the most recent BLM news release, it states this...
Soooo... per the release and BLM, Dumont visitors are required to have camp fire permits. It is up to the new chief whether or not the Rangers check on those permits.
I highly doubt they will be checking on these, however it is very easy to print one up and be on the safe side like @DirtBikeGuy and the others said.
You can even do it right from your smart phone.You can just show them the downloaded pdf on your phone. It doesn't need to be printed. http://www.preventwildfireca.org/Permits/
Hope this clears things up.
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