paternity vs kinship

paternity and kinship both are nouns.

Word	Noun	Adjective	Verb	Adverb
paternity	Yes	No	No	No
kinship	Yes	No	No	No

As nouns, kinship is a hypernym of paternity; that is, kinship is a word with a broader meaning than paternity:

paternity: the kinship relation between an offspring and the father
kinship: (anthropology) relatedness or connection by blood or marriage or adoption

Other hypernyms of paternity include family relationship, relationship.

paternity (noun)	kinship (noun)
the act of initiating a new idea or theory or writing	(anthropology) relatedness or connection by blood or marriage or adoption
the kinship relation between an offspring and the father	a close connection marked by community of interests or similarity in nature or character
the state of being a father