About this interactive
Public key infrastructure gives you a reason to trust a server you have never connected to before. The site owner generates a public and private key pair, proves to a registration authority that they own the domain, and the certificate authority signs a certificate that binds the domain to the public key. Your computer already holds the CA's root certificate, so it can check that signature, check the dates and check the name, and then trust messages the server makes with its private key. That is authenticity, not authentication. With HTTPS on top, the connection also gets integrity and confidentiality.
The limit is the lesson's second point. Anyone can buy a domain, be verified by a registration authority and get a certificate. So a valid certificate tells you which domain you reached and that the server holds its key. It does not tell you the site is honest, safe, uncompromised or free of malware.
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