They're fake and I highly doubt the tobacco is Cuban either.

They sound like fake Sig IVs which are supposed to be 5 5/8 x 46.

Sig IIIs are 6 1/8 x 42 and Sig Vs are 6 3/4 x 43.

Check the dimensions and look for a triple cap. Even if the dimensions and triple caps are correct, this doesn't mean much.