https://www.recreation.gov/permits/4251909
Application Fee: A non-refundable $9.00 lottery fee is required for each lottery application.
I went to the lottery a few times in Kanab and never got a permit. I've resigned myself to the fact that I'll probably never get one now.
I'm pretty sympathetic to the argument that these drawings should be extremely inexpensive ($1?) and there should be some transparancy where the fee goes.
Also not mentioned in the article - I'm most familiar with how Yosemite and the parks in the sierras do it, but in those parks for popular trails there's a 6-month-in-advance lottery system, but there's also something like 10% of the quota reserved for 1-day-in-advance walk-up tickets only. So you either have to win a lottery that favors the preppy planners, OR be willing to wake up in the middle of the night and stand outside a park office for a few hours until they open. Not perfect, but it gives some options.