Abstract: In this document, I will outline a proof-of-liabilities (PoL) scheme for ecash systems and Cashu specifically, which is a Chaumian ecash system for Bitcoin. The PoL scheme consists of three parts. First, a publicly auditable list of all issued ecash tokens in the form of mint proofs, and second, a publicly auditable list of all redeemed ecash tokens in the form of burn proofs, which are both regularly published by the mint operator. Third, a mint publicly commits to rotate its keys regularly once each epoch and allows all ecash in circulation to recycle from old epochs to the newest one. If clients remain vigilant and mints agree on a certain set of rules of operation which are publicly verifiable, users of a mint can detect whether a cheating mint has printed unbacked ecash during a past epoch, and, in many cases, provide public proofs of the mint engaging in this adversary behavior. Users achieve this by regularly checking t
