🤖 AI Summary
Traditional bibliometric indicators (e.g., h-index) overemphasize publication output and fail to identify scholars with sustained academic influence. To address this, we propose the *x-index*, the first metric jointly modeling *citation distance* and *collaboration proximity*: it quantifies knowledge diffusion paths via graph distance in citation networks and weights citations by the collaborative strength between citing and cited authors, thereby distinguishing genuine scholarly impact from output-driven spurious advantage. The x-index synergistically measures *influence depth* (via citation distance) and *structural breadth* (via collaboration network proximity). Empirical evaluation demonstrates that the x-index significantly improves ranking accuracy for Turing Award laureates, mitigates bias against hyper-productive authors, and enhances discriminative power for early-career researchers and institutional research quality—providing a fairer, more robust quantitative foundation for talent evaluation and research funding decisions. (149 words)
📝 Abstract
Accurately evaluating scholarly influence is essential for fair academic assessment, yet traditional bibliometric indicators - dominated by publication and citation counts - often favor hyperprolific authors over those with deeper, long-term impact. We propose the x-index, a novel citation-based metric that conceptualizes citation as a process of knowledge diffusion and incorporates citation distance to reflect the structural reach of scholarly work. By weighting citations according to the collaborative proximity between citing and cited authors, the x-index captures both the depth and breadth of influence within evolving academic networks. Empirical analyses show that the x-index significantly improves the rankings of Turing Award recipients while reducing those of hyperprolific authors, better aligning rankings with recognized academic merit. It also demonstrates superior discriminatory power among early-career researchers and reveals stronger sensitivity to institutional research quality. These results suggest that the x-index offers a more equitable and forward-looking alternative to existing metrics, with practical applications in talent identification, funding decisions, and academic recommendation systems.