Hawaii Revised Statutes Division 3. Property; Family § 584A-301

(1) The individual gives birth to the child, except as otherwise provided in part IX;

(2) There is a presumption under section 584A-303 of the individual's parentage of the child, unless the presumption is overcome in a judicial proceeding or a valid denial of parentage is made under part VI;

(3) The individual is adjudicated as a parent of the child under part V;

(4) The individual adopts the child;

(5) The individual acknowledges parentage of the child under part IV, unless the acknowledgment is rescinded under section 584A-403(f) or successfully challenged under part IV or V;

(6) The individual's parentage of the child is established under part VIII;  or

(7) The individual's parentage of the child is established under part IX.