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Also, if you are interested in building a more secure JWT, this article may be of interest: https://fusionauth.io/learn/expert-advice/tokens/building-a-secure-jwt/
No, those tokens are completely de-coupled from FusionAuth (in a fundamental way, that is the point of those tokens).
There are revocation strategies however, but they require some additional work.
Here is one strategy we have documented: https://fusionauth.io/learn/expert-advice/tokens/revoking-jwts/
