The IPERION HS proposal aims at establishing and operating an Integrating Activity for a distributed pan-European research infrastructure, opening key national research facilities of recognised excellence in heritage science. Heritage science is a young and cross-cutting scientific domain embracing a wide range of research disciplines enabling deeper understanding of the past and improved care for the future of heritage. Since 2016, heritage science is included in the ESFRI Roadmap as one of the strategic areas in the domain of Social Sciences and Humanities, where it is represented by the ESFRI Project E-RIHS (European Research Infrastructure for Heritage Science). IPERION HS will provide to the advanced community of heritage science - built and reinforced with the support of four EU projects spanning across four Framework Programmes, approaching 20 years of constant service to the heritage domain - a further level of pan-European integration, in view of the establishment of E-RIHS. IPERION HS is a further step towards a unified scientific approach to the most advanced European instruments for the analysis, interpretation, preservation, documentation and management of heritage objects in the fields of art history, conservation, archaeology and palaeontology. IPERION HS core activity will be offering Trans-National Access to a wide range of high-level scientific instruments, methodologies, data and tools for advancing knowledge and innovation in the domain. In addition, IPERION HS will contribute joint innovative research for a better interoperability not limited to data, but including sample materials, methods and instruments. The networking activities in the project aim at reinforcing the binding in the group and at creating a sense of belonging for heritage science researchers which will exploit the RI services. IPERION HS consists of partners from 22 Countries clustered around their national nodes.