Technical note / Defect ('illah): The name established in the text is from manuscript (Z), while (M) and (B) have 'al-Anbari' (with ra'). Manuscript (S) can be read both ways. The correct form is what is in manuscript (Z), because Ibn Makula stated it explicitly in "al-Ikmal" (1/140-141).
Reference / Source: Likewise, this name is mentioned in the biography of his shaykh al-Faraj bin Fadalah in "Tahdhib al-Kamal" (23/157), whereas in "Tarikh Baghdad" (Bashshar Ma'ruf edition 14/157) it is printed as 'al-Anbari'.

Grading: Its chain is weak and its text is 'munkar'.
Technical note / Defect ('illah): Al-Faraj bin Fadalah is weak, and for this reason Imam al-Dhahabi declared it defective in "al-Talkhis"; al-Faraj also fell into inconsistency (idtirab) in it. Muhammad bin Abd al-A'la and his father are 'unknown' (majhul). In Sunan al-Daraqutni this name appears as 'Muhammad bin Abd al-A'la bin Adi', whereas among the narrators the only one named 'Abd al-A'la bin Adi' is al-Bahrani (the judge of Hims), who was mentioned by Imam al-Bukhari in "al-Kabir" (6/72), Ibn Abi Hatim (6/25) and Ibn Hibban (5/129); but they all mention his narration only from Thawban (may Allah be pleased with him), and no son named 'Muhammad' is mentioned among his students.

Reference / Source: Imam al-Daraqutni (4457) narrated it via Yazid bin Harun from al-Faraj bin Fadalah with this same chain.

Details of the narration: Ibn Sa'd in "al-Tabaqat" (5/57), Imam Ahmad (29/17824) and Abd bin Humayd (292) narrated it through various routes from al-Faraj bin Fadalah, in which he made it a narration of the 'Musnad of Amr bin al-As', and its wording is "ten good deeds".

Details of the narration: Imam Ahmad (17825), Ibn Abd al-Hakam in "Futuh Misr" (p. 228) and al-Daraqutni (4459) narrated it via al-Faraj bin Fadalah, but here he made it a narration of the 'Musnad of Uqbah bin Amir'.

Grading: Its chain is weak.
Technical note / Defect ('illah): The chain is weak because Ibn Lahi'ah is weak; moreover, al-Qasim bin al-Barahi was declared trustworthy only by Ibn Hibban, while Ibn Abd al-Hadi declared him weak in "al-Muharrar" (1176).
Reference / Source: Imam Ahmad (11/6755) and Ibn Abd al-Hakam (p. 228) narrated it via Ibn Lahi'ah.

Technical note / Defect ('illah): Al-Daraqutni (4460) narrated it via Ibn Lahi'ah as part of the 'Musnad of Abu Hurayrah', but in its chain Ibn Lahi'ah is weak, and this narration also contradicts the sahih narration from Abu Hurayrah (may Allah be pleased with him) reported by the two Shaykhs (al-Bukhari and Muslim).

Grading: Sahih and established hadith.
Important point: The actual sahih hadith is the one narrated by Abu Qays (the freed slave of Amr bin al-As) from his master Amr bin al-As (may Allah be pleased with him), which Imam al-Bukhari (7352) and Imam Muslim (1716) narrated: "When a ruler judges, exercises ijtihad and his judgement is correct, he receives a double reward; and if he exercises ijtihad and errs, he receives one reward."

Corroborating chains and supporting reports: A similar narration was reported by Abu Salamah from Abu Hurayrah (may Allah be pleased with him), which is in Sahih al-Bukhari (after 7352) and Sahih Muslim (after 1716).