A multi-perforating assembly can include a housing containing a rotor. The rotor can be axially stroked by a multi-stroker tool. Upon axial movement, the rotor can cooperate with the housing to incrementally rotate. Axial movement of the rotor can cause a multi-perforating cartridge to radially pierce. Rotation of the rotor combined with piercing of the multi-perforating cartridge can enable multiple piercings to be easily and quickly performed in a single run. A multi-perforating cartridge can include a blade pivotally attached to a slider. The blade can be pulled past ports in a cartridge housing whereupon biasing springs can push the blade into the ports and a support pin can push the blade into piercing positions before pushing the blade into transitional positions, after which the blade can be biased into the subsequent port.