Sahih al-Bukhari, Volume 5, Book 58, Hadith 186 (USC-MSA) ⓘ

Narrated 'Aisha: Allah caused the day of Buath to take place before Allah's Messenger was sent (as an Apostle) so that when Allah's Messenger reached Medina, those people had already divided (in different groups) and their chiefs had been killed or wounded. So Allah made that day precede Allah's Messenger so that they (i.e. the Ansar) might embrace Islam.

حَدَّثَنِي عُبَيْدُ بْنُ إِسْمَاعِيلَ، حَدَّثَنَا أَبُو أُسَامَةَ، عَنْ هِشَامٍ، عَنْ أَبِيهِ، عَنْ عَائِشَةَ ـ رضى الله عنها ـ قَالَتْ كَانَ يَوْمُ بُعَاثٍ يَوْمًا قَدَّمَهُ اللَّهُ لِرَسُولِهِ صلى الله عليه وسلم، فَقَدِمَ رَسُولُ اللَّهِ صلى الله عليه وسلم وَقَدِ افْتَرَقَ مَلَؤُهُمْ، وَقُتِّلَتْ سَرَوَاتُهُمْ وَجُرِّحُوا، قَدَّمَهُ اللَّهُ لِرَسُولِهِ صلى الله عليه وسلم فِي دُخُولِهِمْ فِي الإِسْلاَمِ‏.‏

Narrated Ibn 'Abbas: To run along the valley between two green pillars of Safa and Marwa (mountains) was not Sunna, but the people in the pre-islamic period of ignorance used to run along it, and used to say: "We do not cross this rain stream except running strongly. "

وَقَالَ ابْنُ وَهْبٍ أَخْبَرَنَا عَمْرٌو، عَنْ بُكَيْرِ بْنِ الأَشَجِّ، أَنَّ كُرَيْبًا، مَوْلَى ابْنِ عَبَّاسٍ حَدَّثَهُ أَنَّ ابْنَ عَبَّاسٍ ـ رضى الله عنهما ـ قَالَ لَيْسَ السَّعْىُ بِبَطْنِ الْوَادِي بَيْنَ الصَّفَا وَالْمَرْوَةِ سُنَّةً، إِنَّمَا كَانَ أَهْلُ الْجَاهِلِيَّةِ يَسْعَوْنَهَا وَيَقُولُونَ لاَ نُجِيزُ الْبَطْحَاءَ إِلاَّ شَدًّا