Triple

T21550876
Position Surface form Disambiguated ID Type / Status
Subject Jean-Victor Poncelet E531756 entity
Predicate notableWork P4 FINISHED
Object Traité des propriétés projectives des figures
Traité des propriétés projectives des figures is a foundational 19th-century mathematical treatise that systematically develops projective geometry and helped establish it as an independent discipline.
E1490760 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: Traité des propriétés projectives des figures | Statement: [Jean-Victor Poncelet, notableWork, Traité des propriétés projectives des figures]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Traité des propriétés projectives des figures
Context triple: [Jean-Victor Poncelet, notableWork, Traité des propriétés projectives des figures]
  • A. On the Principles of Geometry
    "On the Principles of Geometry" is Nikolai Lobachevsky’s foundational work that introduced non-Euclidean (hyperbolic) geometry, challenging the universality of Euclid’s parallel postulate.
  • B. Veblen axioms for projective geometry
    The Veblen axioms for projective geometry are a foundational set of incidence-based axioms introduced by Oswald Veblen to rigorously formalize the structure of projective spaces.
  • C. Éléments de géométrie
    Éléments de géométrie is a foundational 18th-century geometry textbook by Adrien-Marie Legendre that systematized Euclidean geometry and was widely used in mathematical education for decades.
  • D. Della nuova geometria
    Della nuova geometria is a Renaissance-era mathematical treatise by philosopher Francesco Patrizi that proposes an alternative, more philosophical approach to geometry.
  • 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: Traité des propriétés projectives des figures
Triple: [Jean-Victor Poncelet, notableWork, Traité des propriétés projectives des figures]
Generated description
Traité des propriétés projectives des figures is a foundational 19th-century mathematical treatise that systematically develops projective geometry and helped establish it as an independent discipline.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Traité des propriétés projectives des figures
Target entity description: Traité des propriétés projectives des figures is a foundational 19th-century mathematical treatise that systematically develops projective geometry and helped establish it as an independent discipline.
  • A. On the Principles of Geometry
    "On the Principles of Geometry" is Nikolai Lobachevsky’s foundational work that introduced non-Euclidean (hyperbolic) geometry, challenging the universality of Euclid’s parallel postulate.
  • B. Veblen axioms for projective geometry
    The Veblen axioms for projective geometry are a foundational set of incidence-based axioms introduced by Oswald Veblen to rigorously formalize the structure of projective spaces.
  • C. Éléments de géométrie
    Éléments de géométrie is a foundational 18th-century geometry textbook by Adrien-Marie Legendre that systematized Euclidean geometry and was widely used in mathematical education for decades.
  • D. Della nuova geometria
    Della nuova geometria is a Renaissance-era mathematical treatise by philosopher Francesco Patrizi that proposes an alternative, more philosophical approach to geometry.
  • 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_69e0c460232c81908de2c3819d17c00e completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69eeb59258b88190966c18f1f519dad6 completed April 27, 2026, 1:02 a.m.
NED1 Entity disambiguation (via context triple) batch_6a09eee3c6408190bf0873b01660612a completed May 17, 2026, 4:37 p.m.
NEDg Description generation batch_6a09ef7271e081908a1cd70297376ae3 completed May 17, 2026, 4:40 p.m.
NED2 Entity disambiguation (via description) batch_6a09f00ec300819082ee644a512a9cdf completed May 17, 2026, 4:42 p.m.
Created at: April 16, 2026, 6:28 p.m.