Abstract: A thin plate cutting die has on a front surface a closed cutting edge confining an enclosed area and in a back surface a recess. An air-passage through hole is situated within the enclosed area is opening into the recess, and a positioning indication is established for establishing a correct position of the thin plate cutting die. A cylinder for magnetically holding the thin plate cutting die has at least one longitudinal channel extending longitudinally and internally in the cylinder for transferring air, at least one outlet channel extending from the longitudinal channel and opening into a thin plate die receiving surface, and a positioning indication for establishing a correct position of a thin plate cutting die on the receiving surface.