proof vs authentication

proof and authentication both are nouns.

Word	Noun	Adjective	Verb	Adverb
proof	Yes	Yes	Yes	No
authentication	Yes	No	No	No

As nouns, authentication is a hyponym of proof; that is, authentication is a word with a more specific, narrower meaning than proof:

Other hyponyms of proof include certification, documentation, support, monetisation, monetization, probate.

proof (noun)	authentication (noun)
the act of validating; finding or testing the truth of something	validating the authenticity of something or someone
a trial photographic print from a negative	a mark on an article of trade to indicate its origin and authenticity
any factual evidence that helps to establish the truth of something
a formal series of statements showing that if one thing is true something else necessarily follows from it
(printing) an impression made to check for errors
a measure of alcoholic strength expressed as an integer twice the percentage of alcohol present (by volume)

proof (adjective)	authentication (adjective)
(used in combination or as a suffix) able to withstand

proof (verb)	authentication (verb)
make resistant (to harm)
activate by mixing with water and sometimes sugar or milk
read for errors
knead to reach proper lightness
make or take a proof of, such as a photographic negative, an etching, or typeset