There is no birth record for Obama in the bound book. That is why Hawaii hid the book in a locked room.
That’s certainly possible but then we have to be able to explain how birth notices got into the Honolulu newspapers for the week after the alleged birth. The birth notices were in the “Health Bureau Statistics” sections of the two Honolulu newspapers for August 13 & August 14, 1961.
We can't know that for certain, no one has seen it. There might be an entry there for the child of Anna Obama and the kenyan student, born in January.