Verifying author identify in mathematics
Thirty years after its formation, Nicola Poser discusses the role of Mathematical Reviews / MathSciNet
Mathematics has long been a discipline in which ideas are closely associated with individuals.
From the Pythagorean theorem and the Fibonacci sequence to the Riemann hypothesis, Hilbert’s 23 problems, Markov chains, and the Green–Tao theorem, mathematicians routinely discuss ideas through the names of those who developed them.
This practice, while deeply embedded in the culture of mathematics, presents significant challenges for the accurate identification of authors in the scholarly record, particularly as the volume of mathematical research continues to grow.
MathSciNet as a curated scholarly resource
The online database MathSciNet, launched in 1996, transformed Mathematical Reviews (published by the American Mathematical Society) into a fully searchable digital resource. 30 years later, MathSciNet is the principal abstracting and indexing service for the mathematical sciences. Its value lies not only in its comprehensive coverage of the literature, but also in the accuracy and consistency of its expertly curated metadata. MathSciNet supports millions of searches each month by mathematicians, librarians, and researchers worldwide.
Central to this curation is the accurate identification and disambiguation of authors. Ensuring reliable attribution is the responsibility of the Mathematical Reviews (MR) Cataloging Department, whose work underpins the integrity of the database supporting MathSciNet.
Persistent identifiers and the MR Author ID
Persistent identifiers (PIDs) have become essential infrastructure across scholarly communication. DOIs identify research outputs; FundRef identifiers record funding sources; Ringgold, ROR, and PSI identify institutions; and ORCID and related systems provide cross-disciplinary researcher identifiers.
Within mathematics, the Mathematical Reviews Author Identifier (MR Author ID) has long served as a discipline-specific persistent identifier. Established well before many contemporary PID systems, the MR Author ID is assigned and maintained by the Mathematical Reviews Cataloging Department. Each identifier corresponds to a distinct individual who has published in mathematics or closely related fields. As with other PIDs, MR Author IDs facilitate connections among publications, authors, coauthors, subject classifications, and institutional affiliations, enabling a coherent and navigable representation of mathematical research.
Each MR ID is tied to an author profile in MathSciNet, including publication and citation information, frequent subject classifications and coauthors, and journals and book series where their work has appeared.
Methods of author disambiguation
Author identification in MathSciNet relies on systematic human review rather than automated matching alone. When a publication is indexed, catalogers first determine whether the author’s name corresponds to an existing author record. This task is frequently complex: many names recur extensively in the database. For example, some common names are associated with more than one hundred distinct author records.
Catalogers employ multiple forms of evidence to reach a determination, including:
- Bibliographic metadata, such as institutional affiliation (including department) and email address
- Patterns of co-authorship, which often provide strong disambiguating data points
- Topical consistency, assessed through subject classifications and publication history
These elements are evaluated collectively to determine whether a publication should be associated with an existing MR Author ID or assigned to a new one.
Escalation and verification procedures
When metadata and contextual evidence are insufficient to resolve an authorship question, catalogers pursue additional verification. This may involve consulting institutional or personal webpages, reviewing preprints and publication lists, or examining acknowledgments and citations in related works.
In cases where uncertainty remains, catalogers may contact the author directly to confirm whether multiple publications correspond to the same individual. Such direct communication, while time-consuming, is often the most reliable means of resolving complex cases.
Scale and complexity
At the time of writing, MathSciNet indexes more than 1.3 million distinct authors across over 4.6 million indexed publications. At this scale, rare but challenging identification cases are inevitable. These include situations in which different individuals share similar names, affiliations, research topics, and even coauthors, as well as cases in which a single author publishes under numerous name variants (for example, due to transliteration from non-Latin scripts or changes over a career).
Resolving such cases requires sustained attention, careful judgment, and detailed record-keeping.
The importance of human curation
The accuracy of author identification in MathSciNet depends fundamentally on the expertise of the Mathematical Reviews staff, including information science professionals and Ph.D. mathematicians. Automated systems alone cannot account for the disciplinary nuances, historical variations, and contextual factors that characterise mathematical literature. Mathematicians value this contribution to the infrastructure of mathematical research.
In a recent interview, Professor Iwao Kimura of the Faculty of Science, Department of Mathematics at Toyama University in Japan commented: “It is often difficult to identify individual authors based solely on their names and affiliations, so I believe there is great value in ensuring the accuracy of author information.”
As the volume of mathematical research continues to grow, clearly identifying who wrote what remains essential. By relying on careful human review, careful verification practices, and the long‑standing use of MR Author IDs, MathSciNet that publications are accurately connected to their authors. This work supports reliable attribution, makes research easier to find, and preserves the integrity of the mathematical record.
Nicola Poser is Director, Marketing and Sales, American Mathematical Society