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Understanding how different factors influence their sustainability is of crucial importance. We explore the role of the social network structure and social trust in their sustainability. We analyze the early evolution of social networks in four pairs of active and closed Stack Exchange communities on topics of physics, astronomy, economics, and literature and use a dynamical reputation model to quantify the evolution of social trust in them. In addition, we study the evolution of two active communities on mathematics topics and two closed communities about startups and compare them with our main results. Active communities have higher local cohesiveness and develop stable, better-connected, trustworthy cores. The early emergence of a stable and trustworthy core may be crucial for sustainable knowledge-sharing communities.<\/jats:p>","DOI":"10.1140\/epjds\/s13688-023-00381-x","type":"journal-article","created":{"date-parts":[[2023,2,24]],"date-time":"2023-02-24T14:03:01Z","timestamp":1677247381000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Sustainability of Stack Exchange Q&amp;A communities: the role of trust"],"prefix":"10.1140","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8729-654X","authenticated-orcid":false,"given":"Ana","family":"Vrani\u0107","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aleksandar","family":"Toma\u0161evi\u0107","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aleksandra","family":"Alori\u0107","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marija","family":"Mitrovi\u0107 Dankulov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,2,24]]},"reference":[{"key":"381_CR1","doi-asserted-by":"publisher","DOI":"10.1108\/jd.2002.58.1.106.2","volume-title":"A sociological theory of communication: the self-organization of the knowledge-based society","author":"L Leydesdorff","year":"2001","unstructured":"Leydesdorff L (2001) In: A sociological theory of communication: the self-organization of the knowledge-based society. 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