Thanks for creating the profile and posting this question, Heather. I've added Paulus to the New Netherland project.
The NNS project has a detailed convention for determining LNAB. See the project page for details. This man's father was called Jan Pauluszen Jaket at this man's baptism. Since the father was recorded with a family name (Jaket) in addition to a patronymic (Pauluszen), we treat that family name (Jaket) as the child's LNAB, with the spelling found on the baptism record. I have corrected the LNAB.
Another feature of the naming convention is that, when a child's father used a patronymic name at the child's baptism, we don't impute a patronymic name for the child. (If we did that, often we would be guessing at the form and spelling of the patronymic: Jansz, Jansen, Janszen, or Janssen? Also, in many cases we would be giving the child a name that never appeared in any record.) Instead, we look for later records that recorded the child with a last name.