Why?
If we assume the hash code assignment to one of the 2^32 people is uniformly random from a set of 2^160 codes, the odds of finding a collision are astronomically small (order of 2^-95 or so). Am I missing something?
This is the birthday paradox with instead of 365 days you have 2^33 possible answer values and instead of 23 people you have 7 billion people. I leave it as an exercise for the reader to fill in these values into one of the formulas to calculate the probability of successfully giving each person a unique 33 bit answer: http://en.wikipedia.org/wiki/Birthday_problem
Right, my bad, didn't pay attention to the problem we are trying to solve :)