Follow the tire manufacturer number or the auto manufacturer recommendation?
I'm not sure what you mean by tire manufacturer number. There is a maximum pressure on the sidewall, but that is not a recommendation for the pressure to use. That's like an elevator having a maximum capacity limit, that is not the amount of weight you should put in the elevator for it to run. So by default, the answer is the auto manufacturer recommendation.
Should go with auto manufacture for the best tire wear if your at the ideal weight listed right along with the tire pressures. Some say running them higher will increase MPG's but it will cause the center to wear out faster and reduce the life of tire. Make sure to check them while they are cold or barely warm. If their hot and you add air there will be a slight difference when they cool off. If you have a heavy duty truck they'll give you a couple recommendations depending on if your under heavy load or not.
Tire manufactures number is for tire. Auto manufacturer is recommended for each vehicle the tire is mounted to. Usually 28-32
