Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) said: The dating (that is, the Hijri calendar) began from the year in which the Prophet (peace and blessings be upon him) arrived in Madinah (after emigrating), and in that same year Sayyiduna Abdullah bin al-Zubayr (may Allah be pleased with them both) was born.
Tabarani recorded it in al-Mu'jam al-Kabir; its chain contains the narrator Ya'qub bin Abbad al-Makki, and I have not seen anyone mention him.
Hadith Referenceمجمع الزوائد ومنبع الفوائد / كتاب العلم / 948