I wish this was actually (optional) built-in behavior for browsers when bookmarking pages, or at least when adding to a "read later" list like Pocket/Instapaper etc.
Pocket seems to offer something like this, but only in the premium version, so the "permanent archive" ironically seems to go away when unsubscribing.
As a workaround, what if bookmarking a (public) page could actually ping it to archive.org for archival?