This article records tradition as it has been passed down and reported. Its sources are not yet part of the atlas's verified catalogue.
Twelver tradition credits Allama al-Hilli with persuading the Ilkhanid ruler Oljeitu to convert to Shi'a Islam during a visit to the Mongol court, a documented tradition distinct from an episode independently verified in contemporary court records, that later sources describe in varying detail. That the specific circumstances are not uniformly recorded across those later sources is documented as a genuine limit on how precisely the episode can be reconstructed, distinct from a well attested event whose details are simply unfamiliar to a general reader.
What the tradition and later sources agree marked a real turning point is Shi'ism's own standing and influence in Iran, a documented shift distinct from a purely local or temporary change in one ruler's personal religious practice. That a jurist already known for systematizing Twelver legal method is also credited, through a court conversion whose exact details vary by source, with a shift in Shi'ism's fortunes across an entire region marks a second and different kind of legacy running alongside his methodological one.
That Allama al-Hilli's name is attached both to the systematic method Twelver jurisprudence still uses and, through a variably detailed but persistently recorded tradition, to a Mongol ruler's conversion that changed Shi'ism's standing in Iran marks his combined reputation as a documented case where a jurist's legacy reached beyond legal method into the political fortunes of his own tradition.