Is it permissible to publish scientific achievements on social media to share them with others, despite the fear of falling into ostentation (riya') or the desire to impress, and recognizing the importance of announcing these achievements in this era?

Riya' (showing off) is when a person performs an action for other than Allah, such as writing a book to gain people's praise. It differs from 'ujb (self-admiration) and tasmee' (seeking a good reputation), which occur after the action. There is no harm in publishing research and achievements on social media with the intention of announcing them for widespread benefit, or to demonstrate eligibility for positions, as Yusuf (peace be upon him) did. However, one must beware of intending to seek superiority or worldly gain, for Allah Almighty said: ﴿تِلْكَ الدَّارُ الْآخِرَةُ نَجْعَلُهَا لِلَّذِينَ لَا يُرِيدُونَ عُلُوًّا فِي الْأَرْضِ وَلَا فَسَادًا وَالْعَاقِبَةُ لِلْمُتَّقِينَ﴾ [That home of the Hereafter We assign to those who do not desire exaltedness upon the earth or corruption. And the [best] outcome is for the righteous]. Self-praise may be permissible out of necessity, but the default is to avoid it. Al-'Izz ibn 'Abd al-Salam said: "A person should not praise himself unless there is a need for it," such as demonstrating eligibility for religious positions. If books and research are published, the intention should be to benefit people, not to seek prestige or personal status.