All rubber tire compounds experience "glass transition" at some point as ambient temperatures drop. Different parts of a tire are made of different compounds and thus have different glass transition points which will vary by tire and by brand. However, virtually all summer-rated tires start to see significant loss of traction and increased sidewall stiffening as temperatures dip into the 40's. At temperatures near freezing, cracks can also develop in the compound. Summer tires should not even be stored in cold temperatures, much less driven on.
There may be minor differences between summer-rated tires in terms of their glass transition points, so it is best to consult the manufacturer's recommendation . . . and follow it. The warranty coverage for compound cracking on the Pirelli P Zeros on the Air terminates with use below 45º.
What I don't know is whether the heat generated by tire flexion while driving will give you a few more degrees of margin on the road, assuming the car was not parked in cold temperatures. For instance, if you left home in 50º weather and hit some temperature dips along the way, will the tread temperature stay enough above the ambient air temperature to keep you safe?