Pax is using Ethereum to build a peer to peer legal system. The best way to explain Ethereum is by contrasting it with Bitcoin. Bitcoin’s value comes from the fact that every transaction that happens is added to the record and can’t be changed. Each full node on the network holds a complete copy of the transaction history, which eliminates any possibility of double-spending. It turns out that this approach can also be used to create binding self-enforcing legal contracts between people, which can have use cases as wide ranging as employment, rent, deeds, property transfer, restitution, incorporation, subscriptions, billing, voting and dividend systems. Where there are disputes, a blockchain can hold an objective record of events making dispute resolution relatively trivial compared to traditional legal systems, both on the back-end (legislation) and the front-end (arbitration).
As with Ethereum the focus of Codex is self executing contacts, but it should provide hints at expanding blockchain into other legal realms.