Coming back from work I had a fast flat and found an 1.5" nail thru my Armadillo rear tire. Like the last flat inducer, a staple, it went thru one of the grooves in the tread. The nail went through the tire, the tube and punched multiple holes in the other side of the tube. No spare (you bonehead) and I ran out of patches fixing the tube. Three mile walk to the lbs. After patching the tube again and using the shop hose to inflate it, I heard more leaking. Yes, the valve stem had separated from the tube. I counted 14 patches on the tube as I tossed it and bought a new one.