If the temperature is above 65 degrees - you should have nothing to worry about (other than being in tune). That being said, a friend of mine did crack his clarinet in a cold pit once. It was a cement floor and the temperature on the floor was much colder than the room.
General rule of thumb is to ask yourself is the value of your instrument worth taking the risk. In 90% of all situations you should be in a safe situation. for the other 10% - be clear with whoever is running the show that pit temp should be something to worry about. Other than that get a small personal space heater. If the sound guys complain about the hum - then you got one more group of people trying to help you get heat n the pit.
General rule of thumb is to ask yourself is the value of your instrument worth taking the risk. In 90% of all situations you should be in a safe situation. for the other 10% - be clear with whoever is running the show that pit temp should be something to worry about. Other than that get a small personal space heater. If the sound guys complain about the hum - then you got one more group of people trying to help you get heat n the pit.