Grading: It is weak because of its inconsistency (idtirab), as passed at number (4483).
Technical note / Defect ('illah): The author (al-Hakim) himself declared this chain defective in his book "Ma'rifat 'Ulum al-Hadith" (p. 29), and Abu 'Amr al-Dani followed him in "Kitab fi 'Ilm al-Hadith" (p. 43), on the grounds that Sufyan al-Thawri did not hear it from Abu Ishaq ('Amr bin Abd Allah al-Sabi'i) (directly), but heard it through "Sharik al-Nakha'i" from Abu Ishaq - even though al-Hakim acknowledges that al-Thawri's hearing from Abu Ishaq and his renown for it are well known. Al-Hakim relied in this on the narration of "Abu al-Salt Abd al-Salam bin Salih from Abd Allah bin Numayr", whose takhrij is coming. But this Abu al-Salt is not strong (laysa bi-dhaka), and a chain is not declared defective on account of someone like him.

Technical note / Defect ('illah): Abd al-Razzaq has three shaykhs for this report of Hudhayfah, each of whom narrated it from Sufyan al-Thawri, as will come. One of them is "al-Nu'man bin Abi Shaybah", by whose way the author narrated the report here, even though Abd al-Razzaq's direct hearing from Sufyan al-Thawri is famous and well known; but this particular report he did not hear (directly), as he himself stated explicitly in what will come.

Reference / Source: Al-Hakim recorded it in "Ma'rifat 'Ulum al-Hadith" (p. 29), Abu Nu'aym al-Asbahani in "Fada'il al-Khulafa' al-Rashidin" (231), "al-Hilyah" (1/ 64) and "Ma'rifat al-Sahabah" (190), al-Khatib al-Baghdadi in "Tarikh Baghdad" (4/ 484), Ibn al-Shajari in his "Amali" (1/ 143), Ibn al-Jawzi in "al-'Ilal al-Mutanahiyah" (405) and Ibn al-Jazari in "Manaqib al-Asad al-Ghalib" (34) by way of Muhammad bin Abi al-Sari; Ibn 'Adi in "al-Kamil" (5/ 313) and al-Khatib (4/ 484) by way of Muhammad bin Mas'ud al-'Ajami; and Ibn 'Adi (5/ 313) and Ibn 'Asakir in "Tarikh Dimashq" (20/ 42 and 44/ 235) by way of Ahmad bin Yusuf al-Sulami, known as Hamdan al-Sulami. All three narrate it from Abd al-Razzaq, with this chain.

Reference / Source: Al-'Uqayli recorded it in "al-Du'afa'" (1050) and al-Hakim in "al-Ma'rifah" (pp. 28-29) by way of Muhammad bin Sahl bin 'Askar, from Abd al-Razzaq, who said: "Al-Thawri mentioned from Abu Ishaq, from Zayd bin Yuthay', from Hudhayfah", and he mentioned it. Then al-'Uqayli said in his narration: It was said to Abd al-Razzaq: "Did you hear this from al-Thawri?" He said: "No; Yahya bin al-'Ala' and others narrated it to me." Then they asked him a second time, and he said: "Al-Nu'man bin Abi Shaybah and Yahya bin al-'Ala' narrated it to us from Sufyan al-Thawri."

Reference / Source: Ibn 'Adi (5/ 313) and Ibn 'Asakir (42/ 420) recorded it by way of Abu al-Azhar Ahmad bin al-Azhar, from Abd al-Razzaq, from Yahya bin al-'Ala'; and Ibn 'Adi (5/ 313) by way of Muhammad bin Rafi', from Abd al-Razzaq, from Sa'id bin Muslim bin Qumadhin. Both (Yahya and Sa'id) narrate it from Sufyan al-Thawri, from Abu Ishaq, from Zayd bin Yuthay', from Hudhayfah.
Grade of the narrator: Yahya bin al-'Ala' is weak, and Sa'id bin Muslim bin Qumadhin is majhul al-hal (of unknown condition).

Technical note / Defect ('illah): As for the route of Abu al-Salt Abd al-Salam bin Salih, al-Hakim recorded it in "al-Ma'rifah" (p. 29), al-Khatib in his "Tarikh" (12/ 316) and Ibn 'Asakir (42/ 419, 420), by way of him, from Abd Allah bin Numayr, from Sufyan al-Thawri, from Sharik al-Nakha'i, from Abu Ishaq, from Zayd bin Yuthay', from Hudhayfah. So he added "Sharik" to its chain between Sufyan and Abu Ishaq. But this Abu al-Salt is not that strong, and even supposing the mention of Sharik in its chain were established, Sharik has a poor memory and is "muqarib al-hadith" (middling in hadith).