Not sure if it's been scientifically tested, but most people report more flats at low tire pressure. The issue is that the tire will deform and allow small sharp objects like a shard of glass to lodge in the tire. Repeated revolutions can then force it through the tire into the tube. A high pressure tire wouldn't pick up the shard in the first place. You can also get pinch flats from low pressure, where the tire bottoms out on the rim after hitting an object or pothole.Makes sense. Someone above said otherwise.
I feel like I get a lot more flats when it’s wet. Lubing up the glass or drips of rain bumping glass shards into a nice upward point maybe. Maybe just my mind