(If this has been asked, please deduplicate; I searched but couldn't find anything similar. Thanks!)
This is wholly hypothetical, I hope. Let's have two people, "Alice" and "Bob". Alice publishes some data that, for whatever legal reason, they ought not to publish. Bob gets some sort of court order which directly instructs Alice to stop publishing the content. From what I've heard, the court may deputize Alice somewhat, instructing them to not just cease publication, but also to actively inform other publishers that they must cease & desist. If those other publishers continue, then Bob may complain to the court again, and the court may order those other publishers to cease as well.
We are now in the 21st century, though, and the content may be available via e.g. Bittorrent, a key-value data store which can make data internationally available as long as one person, somewhere in the world, is reachable and has a copy of the data. This can create a problem for Alice; let's imagine a third person, "Mallory", who sits beyond the court's jurisdiction. Mallory openly flouts the court order by publishing a Bittorrent key (a torrent file or magnet link) which allows anybody to obtain a copy of the data. (Also note that tools like Magnetico can be used to let anybody become an eavesdropper, passively learning Bittorrent keys as they transit the network. Mallory may "openly flout" the court without the equivalent of a conspicuous notice in a public place.)
Given that Alice has been instructed by the court to stop publishing the data, and given that Mallory refuses to stop publishing the data, what might Alice be obliged to do to comply with the court?
Since this is an international question, answers can pertain to any jurisdiction!