I had a slow puncture on Tuesday night, or I assume I did.
20 km down the road, there's this "bzzzt bzzzt" noise from the vicinity of the front mudguard. Sure enough, there's a 3 inch lump of hedge flailing attached to the tyre. It doesn't want to come off, and the tyre is reasonably firm, so I pick off what seems loose, and carry on
5 km later, I stop for a review: the lump of hedge is smaller, but equally firmly attached, and the tyre is still firm, so I continue to the pub (50 km total), spend a couple of hours slurping beer, and ride home (79 km total).
At this point, the lump of hedge is hardly visible, and the tyre pressure is down to 49 psi (vs 65 initially). I've pumped back to 62.5 psi, and I'm waiting to see what happens.
Still perfectly rideable tonight.
One time before, I had a slow puncture that only needed pumping once a week. After about 3 months, the rate of leakage had increased to twice a week pumping, and I decided to do something about it, at which point I found 3/4 inches of thorn through the tyre and tube. They make pretty good plugs if the inner tube isn't stretched too much.