[7373737373]

I'd say that most websites are static enough to be pinned. With the others, the main problem is content determinism. If the same website renders differently on different platforms, they will have different hashes. The only reliable way to store them is in "unrendered" form. Which prevents the inclusion of external resources, something that most single-page interactive websites rely on.

Naming is a consensus problem. The key here is having the freedom of choice between trusted providers. The central source could be provided by a single cryptographic key, by many keys, m-of-n schemes or other arbitrary contracts, even in P2P form.

I'm really interested in what kind of user interfaces the Beaker people come up with when it comes to their "editable cloned websites" (forks).

[zaarn]

Most websites; maybe.

Most popular websites; unlikely. Even HN isn't static enough to be pinned considering there is a new comment about once a minute or so.

[basilgohar]

What is pinned would be the content that doesn't change. It may mean the site architecture would need to be changed to accommodate one of these decentralized models.