Contracts performing cryptographic operations

Greetings to all,

I believe that contracts in the near future, if not already, should be
able to perform some basic cryptographic operations, such as verifying
digital signatures. I would like to ask if anyone has come across contracts
that already perform crypto-operations (not necessarily limited to the aforementioned
example), or even libraries that can be used to build more complex primitives (e.g., field
arithmetic) on Ethereum.
Any pointers would be greatly appreciated.
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