When your post ist quoted, you get a notification similar to a boost notification.

@ucas quoted your post.

Somebody asked recently.

Taking the URL from a post, such as https://infosec.exchange/@isotopp/115615445483744207, and putting it into a new post is recognized by Mastodon, and treated as a quote post.

(Mastodon v.4.6.0.alpha.5+glitch, this is a Glitch instance, but I believe this to be regular Mastdon behavior).