where is stated (page 71) "d2 = density 50% NaOH = 12.9 lb/gal"
Due to the sort of the paper I suppose this value is reliable.
In a way.
Check page 24 - "50% NaOH freezes at 55°F;"
AFAIR highly concentrated NaOH solutions get easily oversaturated, thus it is difficult to say whether you have "real" solution or not. That's probably why some sources don't give density of 50% NaOH solution for 15 deg C, as it is a "border" case for which data is not precise. Document you quote refers to commercially available solution "known as" 50% NaOH. That's so called "industrial grade" 50% and "industrial grade" 12.9 lb/gal. Anything ± 5% fits
Have you ever heard about "industrial grade prime numbers"?
I have added 50% NaOH density to my table (taken from other source - International Critical Tables) but I have my doubts about this value.