Haw. Rev. Stat. § 532-6: To child born to parents not married to each other.

Every child born to parents not married to each other at the time of the child's birth and for whom the parent-child relationship has not been established pursuant to chapter 584A shall be considered as an heir to the child's mother, and shall inherit the mother's estate, in whole or in part, as the case may be, in like manner as if the child had been born in lawful wedlock.