What’s the difference between “date filed by state registrar” and “date accepted by state registrar”?
I take it that it's a different way to say the same thing. The baby is born, but the forms don't get to the state registrar until a few days later, depending on if there was a weekend or holiday involved, or if the clerk was out of the office a few days--which makes the number of days between the birth and the filing of the birth certificate with the state registrar different on each birth certificate.
The thing that so many are confused about is that these are Certificates of Birth, NOT the actual birth certificate. Many if not most people lose their original birth certificate (or their parents do, let's face it, they're a tiny baby when the thing is issued and have no control over its location and care), or it crumbles to dust after many years, so they send off for a certificate, which is not the same thing as the original birth certificate. Just considering it in an economical sense, there would be boxes and boxes of dusty birth certificates stacked in the basement (I don't' think they have basements in Hawaii but you get my drift) and someone would have to go down there and hunt through tens of thousands of pieces of paper to satisfy each and every request for a copy of a birth certificate. To simplify matters, the state just issues a certificate of live birth which is proof that the child was born where and when, etc.