Correction: Bridging the digital divide: how does rural digitalization promote rural common prosperity?

Adding/removing text The phrase "RetryClaude can make mistakes. Please double-check responses." was erroneously included in the published article.A correction has been made to the section Introduction, Paragraph 3:"Research methodologies predominantly involve theoretical reviews (Kakwani et al., 2022) and case analyses (Sun et al., 2023;Zhou et al., 2024), supplemented by quantitative baseline regressions (Zhang and Wang, 2023;Jin et al., 2024). Evidently, various sectors of society have already undertaken systematic exploration of rural "wealth generation" pathways. However, the advent of the digital era has prompted increasingly personalized demands, subsequently leading to diversification of issues in rural areas. Traditional research paradigms struggle to adequately address the dynamic evolution of agricultural modernization, indicating that rural common prosperity remains a formidable and long-term undertaking (Zhao and Jiao, 2024)."The original version of this article has been updated.The phrase "RetryClaude can make mistakes. Please double-check responses." was erroneously included in the published article.A correction has been made to the section Literature review, Paragraph 4:"As research deepened, Lai et al. ( 2024) posited that despite digital villages' successful integration as a crucial component of rural social formation, constructing models to quantitatively verify factor mechanisms and intrinsic connections remains equally important, considering the underlying logic between elements and the complex dynamics of Chinese rural evolution. Consequently, Lei et al. (2025) scientifically revealed through statistical models how various factors promote or impede the development of digital empowerment for rural common prosperity across different stages and levels, fully demonstrating the complex trends in rural dynamic development. This new trend can provide policymakers with more precise, efficient, and reliable empirical support, ensuring that digitalization strategies better serve the realization of the grand objective of common prosperity."The original version of this article has been updated.Adding/removing text The phrase "RetryClaude can make mistakes. Please double-check responses." was erroneously included in the published article.A correction has been made to the section Theoretical analysis and research hypotheses, subsection 3.1 Direct impact of digital villages, Paragraph 1: "According to endogenous growth theory, macroeconomic growth is inseparable from information technology innovation, with technological advancement serving as the source of China's rapid yet steady economic and social development (Romer, 1990). However, when material resource inputs reach their peak, the resulting marginal benefits gradually exhibit diminishing returns, whereas technological innovation can maintain sustained growth in marginal benefits. Evidently, the advantages of technological innovation are increasingly prominent in the domain of economic growth (Fan et al., 2021). Nevertheless, unlike urban digital development, rural digitalization confronts unique theoretical contexts and practical challenges. According to dual economic structure theory and regional unbalanced development theory (Rodrik et al., 2016;Myrdal, 2017), rural areas exhibit fundamental differences from urban areas in resource endowments, industrial structures, and development stages, resulting in digitalization manifesting different operational mechanisms and development trajectories in rural areas compared to urban regions."The original version of this article has been updated.In addition, the following statement has been added regarding the use of generative AI during manuscript preparation:Generative AI was used during the preparation of this manuscript to support literature search and the preliminary collection of relevant references. All source selection, interpretation of the literature, and final academic judgments were made and verified by the authors.