What is the indexing problem?

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Finding which server has which event is a massive computer science problem. Nostr solves it by using relay hints of where things could be. Pubky uses a DHT protocol underneath.

Does the distributed hash table approach completely solve the problem?

What’s preventing nostr from adopting dht? No appetite for more complexity trade offs? Or is it more a consensus thing?

I don't think it does at all. But proponents of pubky claim it does.