Very likely, though pubkeys would not be re-used (for spam resistance reasons). I'm still reading through the Nostr NIPs, so I'm not sure how to go about this just yet.
If you'd like to expand I'm curious, how could pubkey reuse encourage spam?
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Re-use of pubkeys is similar to re-use of email addresses. We re-use email addresses for years, which makes spamming as easy as buying a list of addresses. But if nobody re-used email addresses -- instead changing their address after every message -- then lists of addresses would be pointless, because the lists would be out of date very quickly.
As best as I can tell, Nostr pubkeys are similar to addresses. But Nostr doesn't impose the restriction that email does: Nostr relays don't hand out one pubkey/address per user. Rather, Nostr clients can make as many pubkeys as they like. The trick is to coordinate change-of-address between clients (which is beyond the scope of this topic).
You mention the PoW NIP in a follow up post. PoW is appropriate when you're re-using addresses/pubkeys. I might be able use PoW for first-contact addresses. I'll have to think about that some more.
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