How to organize an authentication algorithm using JWT?

Question

RESTful API

I can’t figure out how to use JWT , let’s say JavaScript generates a token on the client, here is the implementation . The server receives the data and verifies it, for example .
The problem is that I want to use asymmetric encryption, and with this method, the server must store the secret in an explicit, not hashed form.
I imagined it differently: when registering, the user creates a pair of keys using JavaScript, the public one of which is sent to the server and it stores it to decrypt the jwt. Tell me where I'm wrong.