110.5a. A token is both owned and controlled by the player under whose control it entered the battlefield.
So yes, you would own the Centaur token.
note that this changed in M10so some players will still have the old rule in mind
If I steal a hundred dollar from a loot of one thousand, people might notice;
If I steal a hundred dollar from a loot of one million, I might get away with it;
If I wish to steal even more and still go unnoticed, I need to make the loot bigger.
Now you know why taxes always go up.
Looting: ''the plundering of public assets by corrupt or greedy authorities'' (Wikipedia)