I added wine vinegar and it seems to work.
This one seemed too good to be true, so I ran a controlled experiment - two tin cans, one just tap water, and the other about 10% cider vinegar.
The experiment was slightly ruined by a light covering of snow

, but the vinegar can did seem to take a bit longer to freeze than the other one. However, it did eventually freeze solid, and is still like that, despite having spent all day sitting on the porch windowsill!
When it eventually thaws, I'll try again and see if I can get some more conclusive results.
By the way, I have insulated our chicken coop a wee bit by pinning a layer of dense foam packing material around the inside of the walls and ceiling. Stuck my hand in there just now, and it definitely seems to be warmer inside than it was last night. Could be worth a thought if this cold snap continues. If you don't have any suitable foam to hand (be careful it's stuff that they can't peck bits off and eat), then I reckon a layer of corrugated cardboard would be almost as good. Poor wee things - they don't know what to make of all this white stuff!!