Triple

T2689820
Position Surface form Disambiguated ID Type / Status
Subject Julius Plücker E57572 entity
Predicate notableWork P4 FINISHED
Object System der analytischen Geometrie
System der analytischen Geometrie is a foundational 19th-century mathematical work by Julius Plücker that helped develop and formalize analytic geometry.
E291202 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: System der analytischen Geometrie | Statement: [Julius Plücker, notableWork, System der analytischen Geometrie]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: System der analytischen Geometrie
Context triple: [Julius Plücker, notableWork, System der analytischen Geometrie]
  • A. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • 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. Elements of Analytical Geometry and of the Differential and Integral Calculus
    Elements of Analytical Geometry and of the Differential and Integral Calculus is a 19th-century mathematics textbook that systematically introduces analytic geometry alongside the fundamentals of differential and integral calculus.
  • D. Géométrie de position
    Géométrie de position is a foundational 1803 treatise by Lazare Carnot that helped establish projective geometry and modern geometric reasoning about position and transformation.
  • E. 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.
  • 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: System der analytischen Geometrie
Triple: [Julius Plücker, notableWork, System der analytischen Geometrie]
Generated description
System der analytischen Geometrie is a foundational 19th-century mathematical work by Julius Plücker that helped develop and formalize analytic geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: System der analytischen Geometrie
Target entity description: System der analytischen Geometrie is a foundational 19th-century mathematical work by Julius Plücker that helped develop and formalize analytic geometry.
  • A. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • 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. Elements of Analytical Geometry and of the Differential and Integral Calculus
    Elements of Analytical Geometry and of the Differential and Integral Calculus is a 19th-century mathematics textbook that systematically introduces analytic geometry alongside the fundamentals of differential and integral calculus.
  • D. Géométrie de position
    Géométrie de position is a foundational 1803 treatise by Lazare Carnot that helped establish projective geometry and modern geometric reasoning about position and transformation.
  • E. 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.
  • 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_69ab4a5028388190a36f3baf1588309e completed March 6, 2026, 9:42 p.m.
NER Named-entity recognition batch_69abd9f380d48190953529d23688a328 completed March 7, 2026, 7:55 a.m.
NED1 Entity disambiguation (via context triple) batch_69afaf5e85bc81908ba1b1968cfa440a completed March 10, 2026, 5:42 a.m.
NEDg Description generation batch_69afafddb2a081909b891eed7ba5411d completed March 10, 2026, 5:45 a.m.
NED2 Entity disambiguation (via description) batch_69afb10304488190a1129efae36b3c4e completed March 10, 2026, 5:49 a.m.
Created at: March 6, 2026, 9:54 p.m.