I was told by a tire industry guy of 30 years experience that all tires (bike or tuck or wheel barrow) are stamped with a rating one half of what the tire can take.
So roughly. an 80 psi tire should hold 160 psi.
Reason for this might be varied, one being variables in quality control from one tire to the next - safety margin, but the main one is that tires will heat up when driven, and when driven to hotter climates.
My 80 pis tire went to 125psi just going from 80 degrees to 115 degree climate. This was combo of ambient temps and the heat generated from driving - mostly heat from driving with a lot of weight on the tires.
It is smart to check psi in this situation, but a warm tire would not need to be deflated back to the cold psi rating (in this case 80), rather something around 100 would be fine. When cold the tire will likely be under inflated, so check again and be ready to add air back when conditions change.
Psi monitors are a good thing to have, but the affordable ones are rated for 40 psi, and our RVs need over 100psi rating to be of any use. These are more pricey.