He owns the Arctic?

Lots of talks these days (from the very informed to the silly) on who owns the Arctic. It is in a way sad that the question has to be raised. It is understandable that a reasonable area around arctic countries’ borders would belong to them, but the area around the pole itself? Why would the North Pole belong more to Denmark or Russia than, say, Mali or the Maldives? Why not define a perimeter around the North Pole which would be preserved from exploration and drilling in perpetuity (or at least for the next 50 years), as has been done for Antarctica? Or set up some kind of UN perimeter around the pole: any money made in this area will be shared by all UN nations in proportion to the negative impact climate change has on them?