You're already in the computer if you've already hiked.
Only the permit holder is named.
Not sure if I've heard this one, but how about a Whitney Education Class that could be held every day for 30 minutes at the Visitor Center where permits are picked up. The class could be mandatory for first time hikers on Mt Whitney. The class would be held once a day at a specific time, and if you don't attend, you don't hike :-)
This is what is required in SEKI. Whether it does any good, I don't know. It DOES require a lot of man-hours, for sure.