Systems and methods relating to an extension of a group signature scheme certificate that allows group users to conduct anonymous transactions in public, with the ability to subsequently audit and confirm signer identity. Auditing and confirmatory functions may include group signature openers that are configured to reveal the identity of a signer that is a member of a group by their signature. Auditing and confirmatory functions may also include group signature linkers that are configured to link two signatures to the same signer using a linking key or linking base.