First link shows someone offering 5 pure and he was interested and added him to talk about it.

Second link shows him accepting a 5 pure offer. For some reason the trade didn't go through.

Third link shows half a dozen offers of 4 buds in unusuals and one offer of 4 pure.

My friend derek also JUST traded his ghosts hallmark for one holiday headcase. So there's an actual trade with evidence that this hat is 5 buds. If you need proof just check his backpack, it now has a headcase, and the person he traded, he now has a ghosts hallmark with his history on it.

http://backpack.tf/id/derekbush - seller

http://backpack.tf/id/76561198028251651 http://www.tf2items.com/item/1151816589 - buyer, and item history.