Triple

T20439487
Position Surface form Disambiguated ID Type / Status
Subject Edmund Landau E501345 entity
Predicate notableWork P4 FINISHED
Object Vorlesungen über Zahlentheorie
Vorlesungen über Zahlentheorie is a classic early 20th-century textbook on number theory by Edmund Landau that systematically develops the subject with rigorous, foundational proofs.
E1430745 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: Vorlesungen über Zahlentheorie | Statement: [Edmund Landau, notableWork, Vorlesungen über Zahlentheorie]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Vorlesungen über Zahlentheorie
Context triple: [Edmund Landau, notableWork, Vorlesungen über Zahlentheorie]
  • A. 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.
  • B. Theorie der algebraischen Zahlen
    "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.
  • C. An Introduction to the Theory of Numbers
    An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
  • D. Elementary Theory of Numbers
    Elementary Theory of Numbers is a classic introductory textbook on number theory by Wacław Sierpiński, covering fundamental properties of integers and related topics in a rigorous yet accessible manner.
  • E. 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.
  • 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: Vorlesungen über Zahlentheorie
Triple: [Edmund Landau, notableWork, Vorlesungen über Zahlentheorie]
Generated description
Vorlesungen über Zahlentheorie is a classic early 20th-century textbook on number theory by Edmund Landau that systematically develops the subject with rigorous, foundational proofs.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Vorlesungen über Zahlentheorie
Target entity description: Vorlesungen über Zahlentheorie is a classic early 20th-century textbook on number theory by Edmund Landau that systematically develops the subject with rigorous, foundational proofs.
  • A. 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.
  • B. Theorie der algebraischen Zahlen
    "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.
  • C. An Introduction to the Theory of Numbers
    An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
  • D. Elementary Theory of Numbers
    Elementary Theory of Numbers is a classic introductory textbook on number theory by Wacław Sierpiński, covering fundamental properties of integers and related topics in a rigorous yet accessible manner.
  • E. 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.
  • 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_69e0b4ab3cfc8190ac9bf32e932316b1 completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e685f20fe08190b9370b523a20153d completed April 20, 2026, 8 p.m.
NED1 Entity disambiguation (via context triple) batch_6a0883fd1af88190a34aef615ec3a23e completed May 16, 2026, 2:49 p.m.
NEDg Description generation batch_6a0884d316148190b1fe155fc2dfbb7b completed May 16, 2026, 2:53 p.m.
NED2 Entity disambiguation (via description) batch_6a088565cbcc81909b4bbc286d272ef6 completed May 16, 2026, 2:55 p.m.
Created at: April 16, 2026, 11:31 a.m.