Within the modern knowledge information ecosystem, the challenge of Hirsch index constraints clarification is relevant, particularly when the staffing, funding, and institutional decisions increasingly depend on quantitative metrics, and, at the same time, on emerging regulations of responsible assessment within the framework of DORA and CoARA initiatives and changing national regulative modes. The study purpose is to classify and to analyze thoroughly the key Hirsch index constraints and its modifications to be applied to assessment practices of science and specialized libraries, research divisions and expert boards. Methodologically, the authors accomplished the narrative review with the elements of knowledge domain review. Based on structured search in Web of Science, Scopus, Google Scholar, Crossref/OpenAlex and RSCI/core for 2020–2025, the authors analyze the peer-reviewed scientometrical studies, institutional reports, and regulative documents focused on Hirsch index. Through theme-quantitative grouping and critical synthesis of secondary data, the constraint groups are revealed, i.e. metric methodological and replicable, infrastructural ethical, and administrative regulative groups. The Hirsch index variability dependent on a database, index value volatility, sensitivity to self-citation, co-authorship, open access modes, retractions and retrieval protocol differences are demonstrated. Based on the comparison of the international and Russian agenda, the authors formulate the operational scheme of responsible Hirsch index application within the multitracer dossier comprising the normalization requirements, author contribution control, and data extraction proto col transparency. The originality of the study lies in the integration of separate research findings into the management framework to address the fast-changing metadata infrastructure and Russian segment character, thus expanding the instrumentality of library information analytics.