In the past several years the tool that I've wished I had with me was a needle nose pliers. I've encountered a few punctures that were caused by radial ply tire wires. Those little devils hiding in your tire can be hard to find and, even once found, can be the devil to root out.
In kind of a reverse Murphy's Law thing, I haven't had a radial wire puncture since I started carrying a tiny needle nose.
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My greatest fear is all of my kids standing around my coffin and talking about "how sensible" dad was.