On the authority of ʿUbādah ibn al-Ṣāmit, who said: The Messenger of Allah ﷺ used to stand for the funeral procession until the deceased was placed in the grave. A Jewish scholar passed by and said, "We do likewise." So the Prophet ﷺ sat down and said, "Sit, and differ from them." (1)

48 - Chapter: Riding in a Funeral Procession

3177 - Yaḥyā ibn Mūsā al-Balkhī narrated to us, ʿAbd al-Razzāq narrated to us, Maʿmar informed us, on the authority of Yaḥyā ibn Abī Kathīr, on the authority of Abū Salamah ibn ʿAbd al-Raḥmān ibn ʿAwf, on the authority of Thawbān: That the Messenger of Allah ﷺ was brought a mount while he was with a funeral procession, and he refused to ride it. When he had finished, he was brought a mount and rode it. It was said to him, and he said, "The angels were walking, and I would not ride while they were walking. When they departed, I rode." (2)

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(1) Its chain of transmission is weak. Abū al-Asbāṭ al-Ḥārithī — namely Bishr ibn Rāfiʿ — and ʿAbdullāh ibn Sulaymān are both weak, and Sulaymān ibn Junādah is denounced in hadith.
It was also recorded by Ibn Mājah (1545) and al-Tirmidhī (1041) via the path of ʿAbdullāh ibn Sulaymān, with this chain. Al-Tirmidhī said: A strange hadith, meaning weak.

(2) Its chain of transmission is authentic. Al-Bazzār deemed its chain good, as al-Mundhirī reported from him in "Mukhtaṣar al-Sunan," and al-Ḥākim declared it authentic, with al-Dhahabī remaining silent about it. ʿAbd al-Ḥaqq al-Ishbīlī remained silent about it in his "Al-Aḥkām al-Wusṭā" 2/136, and Ibn al-Qaṭṭān did not criticize it. Ibn Daqīq al-ʿĪd declared it authentic in "Al-Iqtirāḥ" pp. 4348-449 according to the conditions of the two Shaykhs.
It was also recorded by al-Bazzār in his "Musnad," as found in al-Mundhirī's "Mukhtaṣar Sunan Abī Dāwūd" 4/314, and by al-Ḥākim 1/355, and from him by al-Bayhaqī 4/23, via the path of Maʿmar ibn Rāshid, with this chain. Al-Bazzār said: We do not know this hadith to be narrated with this wording except from Thawbān with this chain, and its chain is good, and we do not know of anyone else who reported it with a connected chain. ʿĀmir ibn Yasāf narrated it from Yaḥyā ibn Abī Kathīr as a mursal report, not mentioning Abū Salamah or Thawbān. And Maʿmar is more reliable than ʿĀmir ibn Yasāf. =