Its chain of transmission is authentic, and al-Dhahabi concurred with him. It is as they both said.
Al-Mundhiri (2/156) and Ibn Kathir, in al-Bidayah (4/356), also attributed the hadith to al-Nasa'i. Al-Nabulsi, however, did not attribute it to him in al-Dhakhair, and I have not found it in his lesser Sunan; it therefore appears to be in his greater Sunan.
379 — “Eat olive oil and anoint yourselves with it, for it comes from a blessed tree.”
It was also narrated in reports from Umar, Abu Usayd, Abu Hurayrah, and Abdullah ibn Abbas.
- The hadith of Umar has two routes:
The first: Abd al-Razzaq said: Ma'mar narrated from Zayd ibn Aslam, from his father, from Umar, with it.
It was recorded by al-Tirmidhi (1/340), Ibn Majah (3319), al-Hakim (2/122), and al-Diya al-Maqdisi in al-Ahadith al-Mukhtarah (1/35), all through Abd al-Razzaq with this chain.
Abd al-Razzaq also recorded it in Kitab al-Jami (vol. 1, no. 149—my copy) with this chain of transmission, except that he said: “From his father; I think it was from Umar.” Al-Tirmidhi said thereafter:
“We know it only through the hadith of Abd al-Razzaq from Ma'mar. Abd al-Razzaq was inconsistent in transmitting this hadith: at times, he mentioned in it, ‘from Umar, from the Prophet, peace and blessings be upon him’; at other times, he narrated it with uncertainty, saying, ‘I think it was from Umar [the original reads: Ma'mar], from the Prophet, peace and blessings be upon him’; and at times he said, ‘from Zayd ibn Aslam, from his father, from the Prophet, peace and blessings be upon him,’ with similar wording, without mentioning Umar.”