Graylog-server v4.0.7-1 - sun.security.provider.certpath.SunCertPathBuilderException: unable to find valid certification path to requested target

Thank you for the added Information.

You have some problems with your certificates. Not sure where/how you made them but double check that you have the right ones in the keystore. Also make sure Graylog has access to the keystore and the certificates.

Question: are you trying to use HTTPS or just certificates for your INPUT?

Have you seen these as shown below? I used both sites at one point which help me learn how to fix my issues maybe they will help also.

EDIT:
What happens when you comment this out?

http_publish_uri = https://hostname/