Artie appears on Warehouse 13, which was co-created by Jane Espenson and D. Brent Mote. Jane Espenson has written an episode of A Game Of Thrones and is on the writing staff for Torchwood. Torchwood takes place in the same universe as Doctor Who, so we have a link for the blue police box in the back of the Warehouse and since Sean "Boromir" Bean is in A Game Of Thrones, the One Ring is mixed in with the other Artifacts somewhere.