On the 7 th of June 2018, The National Archives UK held its inaugural Digital Lecture, delivered by Professor Luciano Floridi entitled "Semantic Capital: What it is and how to protect it". The lecture was followed by a poster exhibition, showcasing nine cutting-edge digital research projects at The National Archives. 1 This paper aims at giving a distinct overview of The National Archives' digital research priorities, drawing on examples from the active and recently completed research projects, which were displayed at the exhibition on the 7 th of June 2018. The focus of this paper is to discuss the research challenges that we are facing as we seek to become a second-generation digital archive, that is digital by instinct and design. By placing a particular emphasis on the conceptual and epistemological challenges relating to trust and openness, the paper suggests that research is the key for us as a rapidly evolving digital archive; enabling us not only to inform but also innovate around the forthcoming digital challenges, and helping us to define future directions and lead the shaping of the future archive.

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Th e special section "Knowledge Quests in the European Periphery" attempts to explore the diff erent ways in which conceptual history's methodologies could be applied to disciplines with which traditional conceptual historians have not previously engaged, such as the history of science, political economy, Enlightenment studies, postcolonial history, and transnational history. Th is special section, when read as a whole, opens up a multidisciplinary space in which center-periphery tensions are examined in the context of conceptual transnational exchange. Coming from diff erent geographical places and cultural spaces within the European periphery, the three case studies draw their methodological background from conceptual history and aim to refl ect on the center-periphery dichotomy by asking how historians from diff erent historiographical traditions could take advantage of the methods and theories of conceptual history, as well as how conceptual history could take advantage of the coming together of disciplines that traditionally do not communicate with each other.