publish vs produce

publish is not a noun while produce is a noun.

Word	Noun	Adjective	Verb	Adverb
publish	No	No	Yes	No
produce	Yes	No	Yes	No

As verbs, produce is a hypernym of publish; that is, produce is a word with a broader meaning than publish:

Other hypernyms of publish include create, make.

publish (noun)	produce (noun)
	fresh fruits and vegetable grown for the market

publish (verb)	produce (verb)
prepare and issue for public distribution or sale	come to have or undergo a change of (physical features and attributes)
have (one's work) issued for publication	create or manufacture a man-made product
put into print	bring forth or yield
	cause to happen, occur or exist
	cultivate by growing, often involving improvements by means of agricultural techniques
	bring onto the market or release
	bring out for display