Generally, the cheapest 1/2" plywood will warp unless you fix it down on benchwork that has a close framework grid. Even then it might get wavy. If you want to use thin plywood, you can increase the mass by using drywall underneath it. The increase in mass is for vibration reduction. Personally, if it wasn't for the formaldhyde binder in particle board or OSB, I would definitely use that in place of plywood. Its density makes it less likely to warp and provides greater mass. Otherwise go for the thickest plywood.
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