Like Mike mentions above there are pre-serial "Supras" with Ludalloy (aluminum) shells so lack of a serial number does not guarantee a COB shell. Serial Numbers started in late 1963.
Technically all Supraphonic model drums have aluminum shells. The model name was changed from "Super Ludwig" to "Supraphonic" at the same time as the shell construction was changed. Although, with Ludwig, there was probably some crossover involved (and in the later 60's and early 70's they did make a small number of COB "Supras"). There are a fair number of Aluminum drums that are identical in nearly every detail to the COB drums (pre-serial badge, heavy lug castings, COB hoops, crimped snare beds) except that the shell is seamless aluminum instead of rolled brass.
A WFL or Ludwig "Transition" badge on the drum virtually guarantees a COB shell (assuming the badge is original to the drum). Once you cross over to the Keystone badge it gets trickier. A drum with a knob actuated muffler is more likely to be COB. A drum with the "ball bat" lever actuated muffler probably is a bit more likely to be aluminum (although that's not 100% definitive in either case). Any drum with a serial number is very unlikely to be COB.