jest vs pun

jest and pun both are nouns.

Word	Noun	Adjective	Verb	Adverb
jest	Yes	No	Yes	No
pun	Yes	No	Yes	No

As verbs, pun is a hyponym of jest; that is, pun is a word with a more specific, narrower meaning than jest:

Other hyponyms of jest include gag, quip, arse around, fool, fool around, horse around.

jest (noun)	pun (noun)
activity characterized by good humor	a humorous play on words
a humorous anecdote or remark intended to provoke laughter

jest (verb)	pun (verb)
act in a funny or teasing way	make a play on words
tell a joke; speak humorously