Additional comments:
The kluge I linked to could not use the normal camera shutter because it's in the lenses, there's only the mirror and a safety flap in the camera. So the camera has to be fooled into thinking it's ready to take a picture and the mirror has to be up. That's OK because one can't see diddly thru an SLR viewfinder with an f/250 pinhole in place!
Thinking more, I hope you meant putting some sort of thin metal plate with the pinhole over a larger hole in the cardboard. The ideal pinhole plate is infinitesimally thin; e.g., a knife edge. Many folks use a piece of aluminum from a soda can, or brass shim stock found in auto supply or hobby shops, something around .002 to .005 inch thickness. If one drills or punches through a substantially thicker plate it starts to behave like a tunnel, increasing the off-axis light fall-off and can vignette.