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The zbMATH Open Knowledge Graph: Tracing Centuries of Mathematical Research

arXiv 2609.00969 ↗First posted 1 Sep 2026cs.DL cs.AIcited by 0

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Abstract (arXiv)

We present the zbMATH Open Knowledge Graph, a large-scale RDF knowledge graph (KG) covering more than 250 years of mathematical scholarship. Unlike existing scholarly knowledge graphs that primarily capture bibliographic metadata and citation structures, the zbMATH Open KG integrates expert-curated semantic content, including reviews, keywords, subject classifications, software references, and disambiguated authorship. This combination of domain-specific representation of mathematical knowledge and extensive temporal coverage supports analyses that require fine-grained exploration of mathematical concepts, research fields, and scholarly relationships over time. The resulting graph comprises 34 million entities and 168 million RDF triples represented using established Semantic Web vocabularies, supporting interoperability and FAIR data principles. We further demonstrate its capabilities through query-driven historically grounded scholarly exploration use cases, illustrating how the knowledge graph can surface relationships and patterns that may be difficult to identify from bibliographic and citation information alone. The zbMATH Open KG provides an open semantic infrastructure for studying the development of mathematical knowledge and tracing scholarly connections across centuries of scholarship.

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References · 12

  1. 2022OpenAlex: A fully-open index of scholarly works, authors, venues, institutions, and conceptscited by 177
  2. 2019The Lean mathematical librarycited by 134
  3. 2018Construction of the Literature Graph in Semantic Scholarcited by 118
  4. 2025AutoMathKG: The automated mathematical knowledge graph based on LLM and vector databasecited by 6
  5. 2014OntoMathPRO Ontology: A Linked Data Hub for Mathematicscited by 4
  6. 2023Linked Papers With Code: The Latest in Machine Learning as an RDF Knowledge Graphcited by 4
  7. 2023Bravo MaRDI: A Wikibase Powered Knowledge Graph on Mathematicscited by 3
  8. 2017OntoMath Digital Ecosystem: Ontologies, Mathematical Knowledge Analytics and Managementcited by 1
  9. 2024An Overview of zbMATH Open Digital Librarycited by 1
  10. 2025Bridging RDF Knowledge Graphs with Graph Neural Networks for Semantically-Rich Recommender Systemscited by 1
  11. 2026Do We Need Bigger Models for Science? Task-Aware Retrieval with Small Language Modelscited by 1
  12. 2026SemRepo: A Knowledge Graph for Research Software and Its Scholarly Ecosystemcited by 1

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