Hadithcore
Sahih al-Bukhari, 3130
sahih

Narrated Ibn `Umar:

`Uthman did not join the Badr battle because he was married to one of the daughters of Allah's Messenger (ﷺ) and she was ill. So, the Prophet (ﷺ) said to him. "You will get a reward and a share (from the war booty) similar to the reward and the share of one who has taken part in the Badr battle."

حَدَّثَنَا مُوسَى، حَدَّثَنَا أَبُو عَوَانَةَ، حَدَّثَنَا عُثْمَانُ بْنُ مَوْهَبٍ، عَنِ ابْنِ عُمَرَ ـ رضى الله عنهما ـ قَالَ إِنَّمَا تَغَيَّبَ عُثْمَانُ عَنْ بَدْرٍ، فَإِنَّهُ كَانَتْ تَحْتَهُ بِنْتُ رَسُولِ اللَّهِ صلى الله عليه وسلم وَكَانَتْ مَرِيضَةً‏.‏ فَقَالَ لَهُ النَّبِيُّ صلى الله عليه وسلم ‏

‏ إِنَّ لَكَ أَجْرَ رَجُلٍ مِمَّنْ شَهِدَ بَدْرًا وَسَهْمَهُ ‏

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References2 variants
In-Book Reference
Book 57, Hadith 39
USC-MSA web (English) reference
Vol. 4, Book 53, Hadith 359 (deprecated numbering scheme)