كتاب الإيمان
1  
The Book of Faith
(22)
Chapter: Clarifying that no one will enter paradise but the believers; loving the believers is part of faith and spreading Salam is a means of attaining that
(22)
باب بَيَانِ أَنَّهُ لاَ يَدْخُلُ الْجَنَّةَ إِلاَّ الْمُؤْمِنُونَ وَأَنَّ مَحَبَّةَ الْمُؤْمِنِينَ مِنَ الإِيمَانِ وَأَنَّ إِفْشَاءَ السَّلاَمِ سَبَبٌ لِحُصُولِهَا
Sahih Muslim 54 a

Abu Huraira reported:

The Messenger of Allah (may peace and blessing be upon him) observed: You shall not enter Paradise so long as you do not affirm belief (in all those things which are the articles of faith) and you will not believe as long as you do not love one another. Should I not direct you to a thing which, if you do, will foster love amongst you: (i. e.) give currency to (the practice of paying salutation to one another by saying) as-salamu alaikum.
حَدَّثَنَا أَبُو بَكْرِ بْنُ أَبِي شَيْبَةَ، حَدَّثَنَا أَبُو مُعَاوِيَةَ، وَوَكِيعٌ، عَنِ الأَعْمَشِ، عَنْ أَبِي صَالِحٍ، عَنْ أَبِي هُرَيْرَةَ، قَالَ قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم ‏ "‏ لاَ تَدْخُلُونَ الْجَنَّةَ حَتَّى تُؤْمِنُوا وَلاَ تُؤْمِنُوا حَتَّى تَحَابُّوا ‏.‏ أَوَلاَ أَدُلُّكُمْ عَلَى شَىْءٍ إِذَا فَعَلْتُمُوهُ تَحَابَبْتُمْ أَفْشُوا السَّلاَمَ بَيْنَكُمْ ‏"‏ ‏.‏
Reference : Sahih Muslim 54a
In-book reference : Book 1, Hadith 101
USC-MSA web (English) reference : Book 1, Hadith 96
  (deprecated numbering scheme)