Cardinal Rebiba is a notable figure in the history of the apostolic succession in the Roman Catholic Church. More than 91% of the world’s more than 4,000 Catholic bishops alive today trace their episcopal lineage back to Rebiba.
In the early 18th century, Pope Benedict XIII, whose orders were descended from Rebiba, personally consecrated at least 139 bishops for various important European sees, including German, French, English and New World bishops. These bishops in turn consecrated bishops almost exclusively for their respective countries causing other episcopal lineages to die off.
It is widely believed that Gian Pietro Carafa, a Cardinal who became Pope Paul IV, consecrated him but supporting documentation has not been found and therefore the episcopal genealogies stop at Rebiba.