pax vs salutation

pax and salutation both are nouns.

Word	Noun	Adjective	Verb	Adverb
pax	Yes	No	No	No
salutation	Yes	No	No	No

As nouns, salutation is a hypernym of pax; that is, salutation is a word with a broader meaning than pax:

pax: (Roman Catholic Church) a greeting signifying Christian love for those assisting at the Eucharist
salutation: (usually plural) an acknowledgment or expression of good will (especially on meeting)

Other hypernyms of pax include greeting.

pax (noun)	salutation (noun)
(Roman Catholic Church) a greeting signifying Christian love for those assisting at the Eucharist	(usually plural) an acknowledgment or expression of good will (especially on meeting)
	an act of honor or courteous recognition
	word of greeting used to begin a letter