According to a fragment found in the Cairo Genizah (T-S 312.82), Aaron ha-Cohen reigned as Gaon after Abraham ben Aaron (the edge of the fragment is cut and does not allow for reconstruction of the length of his reign).[1] It is possible that he is the Aaron ha-Cohen who wrote a calligraphic invitation to a certain elder Suwayd and his son to come to a lecture on the Sabbath.[2]
This Aaron ha-Cohen should be distinguished from a different Aaron ha-Cohen who served under Joseph ben Ezrun ha-Cohen later in the 10th century.