Triple

T16490039
Position Surface form Disambiguated ID Type / Status
Subject Thomas Archer Hirst E400543 entity
Predicate influencedBy P9 FINISHED
Object German school of geometry
The German school of geometry was a 19th-century mathematical movement centered in Germany that advanced projective and synthetic geometry through the work of figures like Felix Klein and Bernhard Riemann.
E1216262 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: German school of geometry | Statement: [Thomas Archer Hirst, influencedBy, German school of geometry]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: German school of geometry
Context triple: [Thomas Archer Hirst, influencedBy, German school of geometry]
  • A. 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.
  • B. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • C. Göttingen school of mathematics
    The Göttingen school of mathematics was a highly influential early 20th-century mathematical tradition centered at the University of Göttingen, renowned for groundbreaking work in analysis, topology, and mathematical physics under figures like David Hilbert and Felix Klein.
  • 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. Erlangen Program
    The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
  • 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: German school of geometry
Triple: [Thomas Archer Hirst, influencedBy, German school of geometry]
Generated description
The German school of geometry was a 19th-century mathematical movement centered in Germany that advanced projective and synthetic geometry through the work of figures like Felix Klein and Bernhard Riemann.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: German school of geometry
Target entity description: The German school of geometry was a 19th-century mathematical movement centered in Germany that advanced projective and synthetic geometry through the work of figures like Felix Klein and Bernhard Riemann.
  • A. 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.
  • B. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • C. Göttingen school of mathematics
    The Göttingen school of mathematics was a highly influential early 20th-century mathematical tradition centered at the University of Göttingen, renowned for groundbreaking work in analysis, topology, and mathematical physics under figures like David Hilbert and Felix Klein.
  • 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. Erlangen Program
    The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
  • 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_69d883813098819084f5409539723b59 completed April 10, 2026, 4:58 a.m.
NER Named-entity recognition batch_69e32e2f31f48190825af5934d976ab7 completed April 18, 2026, 7:09 a.m.
NED1 Entity disambiguation (via context triple) batch_6a00582472388190a3c338ab636da9c6 completed May 10, 2026, 10:04 a.m.
NEDg Description generation batch_6a0059126e588190b531c145f3c155b4 completed May 10, 2026, 10:08 a.m.
NED2 Entity disambiguation (via description) batch_6a0059bf355c81909d6796482fe7f3e3 completed May 10, 2026, 10:11 a.m.
Created at: April 10, 2026, 5:13 a.m.