This was done by his literary executors, two old friends from the Scottish academic world; physicist/chemist Joseph Black and pioneering geologist James Hutton.
The overall understanding is excellent, though the Glasgow Edition of 1976 includes some detailed criticism of his use of sources.
It also defends him for calling Newton a philosopher rather than a scientist; the word 'scientist' did not exist before 1839.
It also contains Smith's first mention of the invisible hand: Touching (§3-21) Tasting (§22) Smelling (§23) Hearing (§24-88) The order of passage is not insignificant.
Smith affirmed that every sens expect touching is directly linked to an organ.