Are the aforementioned hadiths, which include formulas for Allah's Greatest Name (Ism al-A'dham) in Al-Tabarani's book "Al-Du'a," authentic, weak, or fabricated? And if they are weak or fabricated, is it permissible to supplicate with them as a matter of virtuous deeds, or because they do not contradict Islamic law and contain beautiful names of Allah?

The preponderant opinion regarding the Greatest Name of Allah has been clarified in previous fatwas. As for the hadiths mentioned in the question, the degree of authenticity for each has been explained: the first hadith (definition) from Ibn Abbas is weak, the second has a broken chain of transmission (munqati‘ al-sanad) and is weak, the third is weak, and the fourth has a disputed chain of transmission, oscillating between being considered good (hasan (definition)) and weak (da‘if). Supplicating with something whose chain of transmission has not been established is not forbidden.