Triple

T11398855
Position Surface form Disambiguated ID Type / Status
Subject Pierre Varignon E270051 entity
Predicate notableIdea P4 FINISHED
Object Varignon’s theorem in statics
Varignon’s theorem in statics is a fundamental principle stating that the moment of a force about a point equals the sum of the moments of its components about that point, simplifying the analysis of mechanical systems.
E923660 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: Varignon’s theorem in statics | Statement: [Pierre Varignon, notableIdea, Varignon’s theorem in statics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Varignon’s theorem in statics
Context triple: [Pierre Varignon, notableIdea, Varignon’s theorem in statics]
  • A. On the Equilibrium of Planes
    On the Equilibrium of Planes is a foundational treatise by Archimedes that systematically develops the principles of statics and the law of the lever in classical mechanics.
  • B. 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.
  • C. Inventional Geometry
    Inventional Geometry is an educational work by William George Spencer that introduces geometric concepts through intuitive, discovery-based learning rather than formal proofs.
  • D. Application de l’analyse à la géométrie
    Application de l’analyse à la géométrie is a foundational mathematical treatise by Gaspard Monge that helped establish descriptive geometry by systematically applying analytical methods to geometric problems.
  • E. A Parallelogram
    A Parallelogram is a darkly comic play by Bruce Norris that explores questions of fate, free will, and alternate realities through the story of a woman visited by a future version of herself.
  • 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: Varignon’s theorem in statics
Triple: [Pierre Varignon, notableIdea, Varignon’s theorem in statics]
Generated description
Varignon’s theorem in statics is a fundamental principle stating that the moment of a force about a point equals the sum of the moments of its components about that point, simplifying the analysis of mechanical systems.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Varignon’s theorem in statics
Target entity description: Varignon’s theorem in statics is a fundamental principle stating that the moment of a force about a point equals the sum of the moments of its components about that point, simplifying the analysis of mechanical systems.
  • A. On the Equilibrium of Planes
    On the Equilibrium of Planes is a foundational treatise by Archimedes that systematically develops the principles of statics and the law of the lever in classical mechanics.
  • B. 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.
  • C. Inventional Geometry
    Inventional Geometry is an educational work by William George Spencer that introduces geometric concepts through intuitive, discovery-based learning rather than formal proofs.
  • D. Application de l’analyse à la géométrie
    Application de l’analyse à la géométrie is a foundational mathematical treatise by Gaspard Monge that helped establish descriptive geometry by systematically applying analytical methods to geometric problems.
  • E. A Parallelogram
    A Parallelogram is a darkly comic play by Bruce Norris that explores questions of fate, free will, and alternate realities through the story of a woman visited by a future version of herself.
  • 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_69d6aacdbc6c8190af6dc3d5f5d22836 completed April 8, 2026, 7:21 p.m.
NER Named-entity recognition batch_69d8001adc188190ae45227856156412 completed April 9, 2026, 7:38 p.m.
NED1 Entity disambiguation (via context triple) batch_69e58cf75ec08190a571e5178bcde274 completed April 20, 2026, 2:18 a.m.
NEDg Description generation batch_69e59774e6648190a38b2515a83c2e0c completed April 20, 2026, 3:03 a.m.
NED2 Entity disambiguation (via description) batch_69e5a3abf24481908fb71f4ef6b13532 completed April 20, 2026, 3:55 a.m.
Created at: April 8, 2026, 9:34 p.m.