Triple

T10388854
Position Surface form Disambiguated ID Type / Status
Subject Basic Number Theory E244837 entity
Predicate series P1761 FINISHED
Object Die Grundlehren der mathematischen Wissenschaften
Die Grundlehren der mathematischen Wissenschaften is a renowned monograph series published by Springer that presents comprehensive, foundational treatments of major areas in mathematics.
E860098 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Die Grundlehren der mathematischen Wissenschaften | Statement: [Basic Number Theory, series, Die Grundlehren der mathematischen Wissenschaften]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Die Grundlehren der mathematischen Wissenschaften
Context triple: [Basic Number Theory, series, Die Grundlehren der mathematischen Wissenschaften]
  • A. Grundlagen der Mathematik
    Grundlagen der Mathematik is a foundational two-volume work in mathematical logic and the philosophy of mathematics, co-authored by David Hilbert and Paul Bernays, that systematically develops proof theory and formalizes large parts of mathematics.
  • B. The Foundations of Mathematics
    The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
  • C. Princeton Mathematical Series
    Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
  • D. On the Common Mathematical Science
    On the Common Mathematical Science is a Neoplatonic philosophical treatise by Iamblichus of Chalcis that explores the nature and role of mathematics within his broader metaphysical and theological system.
  • E. Graduate Texts in Mathematics
    Graduate Texts in Mathematics is a renowned series of advanced mathematics textbooks published by Springer, widely used for graduate-level study and reference across many areas of pure and applied mathematics.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Die Grundlehren der mathematischen Wissenschaften
Triple: [Basic Number Theory, series, Die Grundlehren der mathematischen Wissenschaften]
Generated description
Die Grundlehren der mathematischen Wissenschaften is a renowned monograph series published by Springer that presents comprehensive, foundational treatments of major areas in mathematics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Die Grundlehren der mathematischen Wissenschaften
Target entity description: Die Grundlehren der mathematischen Wissenschaften is a renowned monograph series published by Springer that presents comprehensive, foundational treatments of major areas in mathematics.
  • A. Grundlagen der Mathematik
    Grundlagen der Mathematik is a foundational two-volume work in mathematical logic and the philosophy of mathematics, co-authored by David Hilbert and Paul Bernays, that systematically develops proof theory and formalizes large parts of mathematics.
  • B. The Foundations of Mathematics
    The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
  • C. Princeton Mathematical Series
    Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
  • D. On the Common Mathematical Science
    On the Common Mathematical Science is a Neoplatonic philosophical treatise by Iamblichus of Chalcis that explores the nature and role of mathematics within his broader metaphysical and theological system.
  • E. Graduate Texts in Mathematics
    Graduate Texts in Mathematics is a renowned series of advanced mathematics textbooks published by Springer, widely used for graduate-level study and reference across many areas of pure and applied mathematics.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d381b5116081908d85227bab6d3c0c completed April 6, 2026, 9:49 a.m.
NER Named-entity recognition batch_69d4e9b40dd8819080ac839487020a44 completed April 7, 2026, 11:25 a.m.
NED1 Entity disambiguation (via context triple) batch_69d795b2423c8190a7c0e9b6fcbcc6db completed April 9, 2026, 12:04 p.m.
NEDg Description generation batch_69d7998acbf881909b6f063c4bf2d0a6 completed April 9, 2026, 12:20 p.m.
NED2 Entity disambiguation (via description) batch_69d79aa0cc5481908bc14cda8fb6e8b1 completed April 9, 2026, 12:25 p.m.
Created at: April 6, 2026, 12:05 p.m.