The question is testing the statutory definition of an "asymmetric crypto system" and specifically what completes the definition after "a private key for creating a digital signature and". Let's examine each option.
Since an asymmetric system by definition pairs a private signing key with a public verifying key, and none of the other terms describe a real element of this mechanism, the description is completed correctly only by the public key option.
Therefore, the correct answer is a public key to verify the digital signature.