A man from the people of Yemen, called Abu Shah, said: "O Messenger of Allah, may Allah bless him and grant him peace, write for me." — Al-'Abbas said: "Write for us." — So the Messenger of Allah ﷺ said: "Write for Abu Shah."

This is the wording of the hadith of Ahmad (1).

Abu Dawud said: "Write for me" — meaning the sermon of the Prophet ﷺ.

4506 — Muslim narrated to us, Muhammad ibn Rashid narrated to us, Sulayman ibn Musa narrated to us, from 'Amr ibn Shu'ayb, from his father...

--------------------------------------------
(1) Its chain of transmission is authentic. Abu Dawud: he is Sulayman ibn Dawud al-Tayalisi, and Ahmad ibn Ibrahim: he is al-Dawraqi, and al-Awza'i: he is 'Abd al-Rahman ibn 'Amr.

It was also recorded by al-Bukhari (112), Muslim (1355), Ibn Majah (2624), al-Tirmidhi (1463), and al-Nasa'i in "al-Kubra" (5824), (6961), and (6962) via the path of Yahya ibn Abi Kathir, from him.

It is in "Musnad Ahmad" (7242) and "Sahih Ibn Hibban" (3715).

Al-Bukhari recorded in his "Sahih" under the chapter on writing knowledge the hadith of Abu Juhaifah (111), this hadith of Abu Hurayrah (112), and the hadith of Abu Hurayrah (113), whose text is: "There is none among the companions of the Prophet ﷺ who has narrated more hadiths from him than I, except what was from 'Abdullah ibn 'Amr, for he used to write and I did not write." Al-Hafiz said, 1/208: "It is derived from this, from the aforementioned hadith of 'Ali, and from the story of Abu Shah, that the Prophet ﷺ permitted the writing of hadith from him, and this conflicts with the hadith of Abu Sa'id al-Khudri that the Messenger of Allah ﷺ said: 'Do not write anything from me except the Qur'an,' narrated by Muslim (3004). The reconciliation between them is that the prohibition was specific to the time of the Qur'an's revelation, out of fear that it would be confused with other things, and the permission was for other than that.

Or the prohibition was specific to writing other than the Qur'an together with the Qur'an in one thing, and the permission was for separating them.

Or the prohibition came first and the permission abrogated it when safety from confusion was assured — and this is the closest of them, although it does not contradict the others.

And it was said: The prohibition was specific to one from whom it was feared that he would rely on writing instead of memorization."