On the authority of ʿUmar ibn Abī Salamah, who said: I saw the Prophet (peace and blessings of Allah be upon him) praying in a single garment, wrapping himself in it, placing its two ends upon his shoulders.

1050 — Abū Isḥāq al-Shāfiʿī Ibrāhīm ibn Muḥammad ibn al-ʿAbbās narrated to us, Muḥammad ibn Ḥanẓalah ibn Muḥammad ibn ʿAbbād al-Makhzūmī narrated to us, from Maʿrūf ibn Mushkān, from ʿAbd al-Raḥmān ibn Kaysān, from his father, who said: I saw the Messenger of Allah (peace and blessings of Allah be upon him) praying at the upper well in a single garment.

1051 — Abū Bakr ibn Abī Shaybah narrated to us, Muḥammad ibn Bishr narrated to us, ʿAmr ibn Kathīr narrated to us, Ibn Kaysān narrated to us, from his father, who said: I saw the Prophet (peace and blessings of Allah be upon him) praying the noon and afternoon prayers in a single garment, wrapping it around himself.

--------------------------------------------
(1) Its chain of transmission is authentic.
It was also recorded by al-Bukhārī (356), Muslim (517), al-Tirmidhī (339), and al-Nasāʾī 2/70 via the route of Hishām ibn ʿUrwah, with this chain.
It is also in "Musnad Aḥmad" (16333) and "Ṣaḥīḥ Ibn Ḥibbān" (2291) and (2292).
It was also recorded by Muslim (517) (280) and Abū Dāwūd (628) via the route of Abū Umāmah ibn Sahl, from ʿUmar ibn Abī Salamah.

(2) Its chain of transmission is plausible for being deemed fair. ʿAbd al-Raḥmān ibn Kaysān — two narrators reported from him, and Ibn Ḥibbān mentioned him in "al-Thiqāt." Al-Ḥāfiẓ said: he is concealed. And Muḥammad ibn Ḥanẓalah — although he is unknown, he was followed in the chain of the subsequent hadith.
It was also recorded by Ibn Abī ʿĀṣim in "al-Āḥād wa al-Mathānī" (2642) and al-Ṭabarānī 19/(437) via the route of Ibrāhīm al-Shāfiʿī, with this chain.
See what follows.

(3) Its chain of transmission is plausible for being deemed fair, like the one preceding it.