If OWFs exist, then statistically binding bit commitment is possible.[1]
Is it known that if OWFs exist then perfectly binding bit commitment is possible?
If no, is there a known black-box separation between them?
[1] http://en.wikipedia.org/wiki/Pseudorandom_generator_theorem and
http://en.wikipedia.org/wiki/Commitment_scheme#Bit-commitment_from_a_pseudo-random_generator