anthem vs dithyramb

anthem and dithyramb both are nouns.

Word	Noun	Adjective	Verb	Adverb
anthem	Yes	No	No	No
dithyramb	Yes	No	No	No

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

anthem: a song of praise (to God or to a saint or to a nation)
dithyramb: (ancient Greece) a passionate hymn (usually in honor of Dionysus)

Other hyponyms of anthem include doxology, choral, chorale, canticle, hymeneal, paean, pean, recessional.

anthem (noun)	dithyramb (noun)
a song of praise (to God or to a saint or to a nation)	(ancient Greece) a passionate hymn (usually in honor of Dionysus)
a song of devotion or loyalty (as to a nation or school)	a wildly enthusiastic speech or piece of writing