Just a quick example, from TireRack:
Storing Extreme Performance Summer Tires in Cold Temperatures
Like the motorsports tires they have evolved from, all Extreme Performance Summer performance category tires feature constructions and compounds that have been tuned to maximize traction and performance within a range of warm-to-hot ambient temperatures. Therefore, unlike less highly tuned tires, these types of tires must only be operated in and stored at temperatures consistent with their thoroughbred characteristics.
In addition to normal tire storage recommendations, Extreme Performance Summer performance category tires require supplementary storage procedures be followed to prevent tire compound cracking due to exposure to cold temperatures.
While these recommendations are general guidelines offered by Tire Rack, selected tire manufacturers may have additional specific recommendations applicable to their tires. Follow the tire manufacturer’s recommendations whenever available.
It is not recommended to drive on these types of tires at temperatures below 40 degrees F (5 degrees C).
It is recommended these types of tires be stored indoors at temperatures maintained at above 20 degrees F (-7 degrees C) when not in use.
Tires accidentally exposed to temperatures of 20 degrees F (-7 degrees C) or lower must be permitted to gradually return to temperatures of at least 40 degrees F (5 degrees C) for at least 24 hours before they are flexed by adjusting inflation pressures, mounting them on wheels, or using them to support, roll or drive a vehicle.
In order to allow gradual, uniform and thorough increase in tire temperature, these types of tires should be protected from direct sources of intense heat as they warm up. Do not apply localized heat, blow heated air directly on them, nor place them near a heat source.
Always inspect tires before use after storage periods.
While compound cracking is not a warrantable condition because it occurs as the result of improper use or storage, tires exhibiting compound cracking must be replaced.