Triple

T19327822
Position Surface form Disambiguated ID Type / Status
Subject Kurt Hensel E483404 entity
Predicate notableWork P4 FINISHED
Object Theorie der algebraischen Zahlen NE NERFINISHED

How this triple was built (2 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: Theorie der algebraischen Zahlen | Statement: [Kurt Hensel, notableWork, Theorie der algebraischen Zahlen]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Theorie der algebraischen Zahlen
Context triple: [Kurt Hensel, notableWork, Theorie der algebraischen Zahlen]
  • A. Theorie der algebraischen Zahlen chosen
    "Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
  • B. Die Theorie der algebraischen Zahlkörper
    "Die Theorie der algebraischen Zahlkörper" is a foundational mathematical monograph on algebraic number fields, authored by David Hilbert and published as part of his influential Zahlbericht.
  • C. Kummer's ideal numbers
    Kummer's ideal numbers are a mathematical concept introduced by Ernst Kummer to restore unique factorization in certain number fields by extending the notion of integers to "ideal" elements.
  • D. Vorlesungen über Zahlentheorie (with Dirichlet)
    Vorlesungen über Zahlentheorie (with Dirichlet) is a foundational 19th-century textbook on number theory, based on lectures by Peter Gustav Lejeune Dirichlet and edited and expanded by Richard Dedekind.
  • E. Disquisitiones Arithmeticae
    Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69d8e8d13e3c81909d91d1d5ec37c095 completed April 10, 2026, 12:10 p.m.
NER Named-entity recognition batch_69e6163f32f48190be17cccf4e537372 completed April 20, 2026, 12:04 p.m.
Created at: April 10, 2026, 1:33 p.m.