I'd like to see this kind of thing be done via an extension to SSL that lets the server sign a running hash of the traffic though. It's much more general.
This would be fantastic. Imagine having a signed hash of
any content on an any ssl webpage. Then we could finally make use of all this certificate infrastructure for smart contracts. Couple it with Eli Ben-Sasson's SCIP and you could have tiny transactions with fulfilment conditions that reference almost anything on the web!