You can set up all of the shell companies you want, but what you can't do is fake notarized statements and induce others to take actions based on them by transm

You can set up all of the shell companies you want, but what you can't do is fake notarized statements and induce others to take actions based on them by transmitting them "over the wires." That's what he is being charged with here, because otherwise ARIN would have said "all of these companies are owned by the same person and our rules don't permit address allocations in this manner."