Removing broken screw with no head on it
Okay, I did something not too bright. I was drilling a screw into a solid oak cabinet for door hardware, and I didn't drill a pilot hold first. The screw, which is fairly small, broke off in the wood; the phillips head broke off leaving the body of the screw embedded in the wood. There is about 1/8 of an inch of the screw exposed, sticking out of the cabinet, but the head of the screw broke off. All the screw extractors that I've seen require that the head of the screw be intact.
Any ideas how I can get the screw out of the wood?