As far as I understand, most (all?) fediverse #ActivityPub software does not use the Client-to-server protocol from the specs (https://www.w3.org/TR/activitypub/#client-to-server-interactions) but rather use custom APIs instead.
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@julian yeah, A owns the user account on A, but B might have a separate user account on B. the same logical person might control both user accounts. if identity was federated, the same credentials could be used to sign into both user accounts equally.
in other words, imagine identity server I, which is used to sign in on both A and B.
you make a post P1, which is published as R1a on A, and R1b on B. what participants need to know is that both R1a and R1b are authentic.
@trwnh@mastodon.social but why must a separate account be made? Account fragmentation is yet another unsolved problem because the new user on account B is functionally useless: no followers, etc. and the content isn't automatically available to the followers of the user on instance A.