Find out global zone Name once you logged into a NON global zone

I understand in Unix Oracle-Solaris OS the zoneadm list command will easily show all the available zones. But if I am logged into a non global zone there is no easy way to get information about the global zone. I see the arp command can be of some help because it will return the NIC mac address. Then with the NIC mac address I can arp again to get all the machine name associated with that (NIC) mac address. This process sounds kind of intricate to me. Is there any better way to get that info?