Alarm system and radio transmission

What do you think about the idea (Alarm system and radio transmission - #8 by system - Project Guidance - Arduino Forum) to control whether the cable to the siren was cut? Can this method work - the idea is that there is a short circuit from Arduino GND to a pullupped Arduino Digital In, if the cable is cut anywhere - this is like a switch - it will be recognized. How to make the alarm then?