To end some of the confusion here, I copied this chart from Mavics website. Indeed, running a 1.0 tire should be safe on your rim.
TIRE SIZE MAXIMUM PRESSURE
inches bars psi
1.00 7.70 113.00
1.20 7.00 103.00
1.50 6.00 88.00
1.75 5.20 76.00
1.90 4.80 69.00
1.95 4.50 66.00
2.00 4.30 63.00
2.10 4.00 59.00
2.20 3.70 55.00
2.30 3.30 49.00