I had to check the comm profile to try to decide if this was legit, as this was clearly not a wild pigeon; it was obviously someone's sleek, well-fed and well-cared-for homing/racing pigeon.
However, it was definitely "unsupervised", as it was hanging out at a gritstone crag eating bilberries and watching the climbers.
It wouldn't quite let people touch it, but was otherwise very comfortable with humans and happy to let you get very close.
I took a lot of photos of it trying to get a shot of the tags on its legs, as I was worried it was someone's beloved pet and lost. But when I got home, I found out that the "report a found pigeon" websites (they exist, naturally) say in rather weary tones not to even bother unless the pigeon's been around for at least 48 hours; apparently they like to take pit stops.( Cut for more pigeon )