Triple

T2566441
Position Surface form Disambiguated ID Type / Status
Subject Johann Heinrich Lambert E57361 entity
Predicate notableWork P4 FINISHED
Object Beiträge zum Gebrauche der Mathematik und deren Anwendung
Beiträge zum Gebrauche der Mathematik und deren Anwendung is an 18th-century mathematical work by Johann Heinrich Lambert that develops and applies mathematical methods to problems in science and practical life.
E279128 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: Beiträge zum Gebrauche der Mathematik und deren Anwendung | Statement: [Johann Heinrich Lambert, notableWork, Beiträge zum Gebrauche der Mathematik und deren Anwendung]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Beiträge zum Gebrauche der Mathematik und deren Anwendung
Context triple: [Johann Heinrich Lambert, notableWork, Beiträge zum Gebrauche der Mathematik und deren Anwendung]
  • A. Disquisitiones Generales Circa Superficies Curvas
    Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
  • B. "Invariante Variationsprobleme"
    "Invariante Variationsprobleme" is Emmy Noether’s landmark 1918 paper that founded the deep connection between symmetries and conservation laws in physics and the calculus of variations.
  • C. Méthodes de calcul différentiel absolu et leurs applications
    Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
  • D. Die Grundlagen der Arithmetik
    Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
  • 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. 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: Beiträge zum Gebrauche der Mathematik und deren Anwendung
Triple: [Johann Heinrich Lambert, notableWork, Beiträge zum Gebrauche der Mathematik und deren Anwendung]
Generated description
Beiträge zum Gebrauche der Mathematik und deren Anwendung is an 18th-century mathematical work by Johann Heinrich Lambert that develops and applies mathematical methods to problems in science and practical life.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Beiträge zum Gebrauche der Mathematik und deren Anwendung
Target entity description: Beiträge zum Gebrauche der Mathematik und deren Anwendung is an 18th-century mathematical work by Johann Heinrich Lambert that develops and applies mathematical methods to problems in science and practical life.
  • A. Disquisitiones Generales Circa Superficies Curvas
    Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
  • B. "Invariante Variationsprobleme"
    "Invariante Variationsprobleme" is Emmy Noether’s landmark 1918 paper that founded the deep connection between symmetries and conservation laws in physics and the calculus of variations.
  • C. Méthodes de calcul différentiel absolu et leurs applications
    Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
  • D. Die Grundlagen der Arithmetik
    Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
  • 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. 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_69ab4a4ef9008190a0e6d4422b9418b7 completed March 6, 2026, 9:42 p.m.
NER Named-entity recognition batch_69abd35ef22c8190966612cc75f69eca completed March 7, 2026, 7:27 a.m.
NED1 Entity disambiguation (via context triple) batch_69af6565e05081909dc12aa3240de5f2 completed March 10, 2026, 12:27 a.m.
NEDg Description generation batch_69af667c6b008190b3960f29f5e07653 completed March 10, 2026, 12:31 a.m.
NED2 Entity disambiguation (via description) batch_69af6740cd2c8190a76309238340bd22 completed March 10, 2026, 12:35 a.m.
Created at: March 6, 2026, 9:48 p.m.