[bmc7505]

Unless you're dealing with OTPs, hashing, or lattice-based schemes, there are almost no information theoretical guarantees in encryption. For a field that uses math so heavily, it's surprising how rare traditional proofs are in the cryptology literature. Most encryption schemes are specifically designed to be hard to analyze.

[swordswinger12]

This isn't for lack of trying on the part of cryptographers - unconditional proofs of security for most modern cryptosystems would imply that P and NP are separate. For example, a direct proof that SHA-256 is collision-resistant would imply that one-way functions exist unconditionally.