On the subject of being stopped by the Fuzz, but not path related, I once got caught out later than I'd hoped and was cycling home with a rear light but no front one. Got stopped initially for the missing light, but then the occifer felt the need to tell me they were looking for a bike just like mine that had been reported stolen. I said "You must have an excellent memory to have detailed recall of all the stolen bicycles in Slough (that's a lot for anyone who's been blessed with never having been there!). You had better be on your way and go look for it because this bike belongs to me. It was also built by me and so very unlikely that it matches the description of any stolen ones you have on file"
He then called me a cheeky git and told me to get off and walk home, which I did until I was around the corner out of sight and then jumped back on me steed!