Sahih Muslim | Book 2 | Chapter 17

Narrated by Shuraih b. Hani
Shuraih b. Hani said: I came to 'Aisha to ask her about wiping over the socks. She said: You better ask ('Ali) son of Abu Talib for he used to travel with Allah's Messenger (may peace be upon him). We asked him and he said: The Messenger of Allah (may peace be upon him) stipulated (the upper limit) of three days and three nights for a traveller and one day and one night for the resident.

Narrated by Ubaidullah b. 'Amr and Zaid b. Abu Unaisa
This hadith is narrated by Ubaidullah b. 'Amr and Zaid b. Abu Unaisa with the same chain of transmitters.
Narrated by Shuraib b. Hani
Shuraib b. Hani reported: I asked 'Aisha about wiping over the shoes. She said: You better go to 'Ali, for he knows more about this than I. I, therefore, came to 'Ali and he narrated from the Apostle (may peace be upon him) like this.

Narrated by Sulaiman b. Buraida
Sulaiman b. Buraida narrated it from his father that the Apostle of Allah (may peace be upon him) offered prayers with one ablution on the day of the Conquest (of Mecca) and wiped over the socks. 'Umar said to him: You have today done something that you have not been accustomed to before. He (the Holy Prophet) said: O 'Umar, I have done that on purpose.