Triple

T5438491
Position Surface form Disambiguated ID Type / Status
Subject John Playfair E122070 entity
Predicate notableWork P4 FINISHED
Object Elements of Geometry
Elements of Geometry is a widely used 18th-century textbook by John Playfair that modernized and clarified Euclid’s geometric principles for mathematical education.
E519272 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: Elements of Geometry | Statement: [John Playfair, notableWork, Elements of Geometry]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Elements of Geometry
Context triple: [John Playfair, notableWork, Elements of Geometry]
  • A. Introduction to Geometry
    "Introduction to Geometry" is a classic textbook by H. S. M. Coxeter that systematically develops both Euclidean and non-Euclidean geometry with an emphasis on rigorous foundations and elegant geometric insights.
  • B. Grundlagen der Geometrie
    Grundlagen der Geometrie is David Hilbert’s foundational 1899 treatise that rigorously axiomatizes Euclidean geometry and helped shape modern mathematical logic and the axiomatic method.
  • C. De institutione geometrica
    De institutione geometrica is a late antique Latin treatise on geometry that adapts and transmits classical Greek mathematical knowledge within the framework of the quadrivium.
  • D. The Foundations of Geometry
    The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
  • E. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • 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: Elements of Geometry
Triple: [John Playfair, notableWork, Elements of Geometry]
Generated description
Elements of Geometry is a widely used 18th-century textbook by John Playfair that modernized and clarified Euclid’s geometric principles for mathematical education.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Elements of Geometry
Target entity description: Elements of Geometry is a widely used 18th-century textbook by John Playfair that modernized and clarified Euclid’s geometric principles for mathematical education.
  • A. Introduction to Geometry
    "Introduction to Geometry" is a classic textbook by H. S. M. Coxeter that systematically develops both Euclidean and non-Euclidean geometry with an emphasis on rigorous foundations and elegant geometric insights.
  • B. Grundlagen der Geometrie
    Grundlagen der Geometrie is David Hilbert’s foundational 1899 treatise that rigorously axiomatizes Euclidean geometry and helped shape modern mathematical logic and the axiomatic method.
  • C. De institutione geometrica
    De institutione geometrica is a late antique Latin treatise on geometry that adapts and transmits classical Greek mathematical knowledge within the framework of the quadrivium.
  • D. The Foundations of Geometry
    The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
  • E. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • 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_69bd46400768819092925d461c0b8432 completed March 20, 2026, 1:06 p.m.
NER Named-entity recognition batch_69bd91bce47c8190b9fd23444e636cdd completed March 20, 2026, 6:28 p.m.
NED1 Entity disambiguation (via context triple) batch_69bf3ad3a3d88190bacde12f515d9971 completed March 22, 2026, 12:41 a.m.
NEDg Description generation batch_69bf3ba6784081908b19717290b7ba3d completed March 22, 2026, 12:45 a.m.
NED2 Entity disambiguation (via description) batch_69bf3c1ad4d8819093aeb94f62eb1086 completed March 22, 2026, 12:47 a.m.
Created at: March 20, 2026, 2:07 p.m.