What is the evidence from the Qur'an and Sunnah for the stoning of the Jamarat?

Casting the pebbles is an obligatory ritual in Hajj, mentioned in the Sunnah of the Prophet. Among the narrations is what Ibn 'Abbas (may Allah be pleased with them both) reported: that the Prophet (peace and blessings be upon him) continued to chant the Talbiyah until he cast the pebbles at the Jamrah. And what Abdullah (may Allah be pleased with him) reported: that he cast seven pebbles at the Jamrat al-Kubra (the Great Jamrah) and said: "Thus did the one upon whom Surah Al-Baqarah was revealed cast the pebbles." And what Ibn 'Umar (may Allah be pleased with them both) reported: that he used to cast seven pebbles at the Jamrat al-Dunya (the First Jamrah), saying 'Allahu Akbar' with each pebble, then he would advance and stand for a long time supplicating. Then he would cast pebbles at the Jamrat al-Wusta (the Middle Jamrah) and do the same. Then he would cast pebbles at Jamrat al-Aqabah from the bottom of the valley and would not stand by it, and he said: "Thus did I see the Prophet (peace and blessings be upon him) do it." Scholars have unanimously agreed that casting the pebbles after zawal (zenith) on the days of Tashreeq is sufficient. The pilgrim casts seven pebbles at Jamrat al-Aqabah, saying 'Allahu Akbar' with each pebble, facing the Qiblah, and then departs. The purpose of casting the pebbles is submission to Allah's command and emulating Abraham (peace be upon him) in his stoning of Satan. In casting the pebbles, there is a humiliation for Satan by complying with Allah Almighty's command.