Like Steve said some Jnat guys know tell tell signs of mine provenance. If you read on So Yamashita's site he specifically refers to being able to tell certain characteristics of Okudo for example but he doesn't go into details. From an old blog Jim Rion wrote I remember reading his trip to visit Hatanaka- San and he took a yellow stone with him which he thought was Nakayama. Hatanaka - San said nope, it isn't.
The rest of us rely on what the sellers tell us and hope for the best.
Off course everybody will say mines don't matter, well they don't if the stone delivers and does it's job but at the same time certain mines command higher prices. A grey shobu is cheaper than a same size grey Nakayama.