Yes, Russia has managed to prove its claims to this region.
No, the Arctic belongs to America.
Glorious Mother Rossiya owns Arctic just like Rossiya owns the Baltics and Ukraine.
Im not aware that anyone else is trying to claim it.
RussiaPutin is correct here.
If the USA really considers radical Islam as the greatest threat to freedom at the time, then negotiations with Russia are vital for peace in the middle east. Russia is buddies with Iran. Productive diplomacy in Russia means a shot at peace tomorrow in Iran. Giving Russia the North Pole for oil (in case you didn't know, it's about oil) may strengthen ties with America.
It does not belong to America, Russia, Greenland, Canada, Iceland, or Norway. It does not belong to anyone. That part of the ice / ocean is beyond the 200 mile jurisdiction of ownership.