Triple

T3111338
Position Surface form Disambiguated ID Type / Status
Subject Gaspard Monge E64956 entity
Predicate notableWork P4 FINISHED
Object 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.
E326557 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: Application de l’analyse à la géométrie | Statement: [Gaspard Monge, notableWork, Application de l’analyse à la géométrie]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Application de l’analyse à la géométrie
Context triple: [Gaspard Monge, notableWork, Application de l’analyse à la géométrie]
  • A. 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.
  • B. 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.
  • C. GAGA (Géométrie Algébrique et Géométrie Analytique)
    GAGA (Géométrie Algébrique et Géométrie Analytique) is Jean-Pierre Serre’s foundational 1956 paper establishing deep equivalences between algebraic geometry and complex analytic geometry, particularly for projective varieties.
  • D. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • E. Méthodes de calcul différentiel absolu et leurs applications
    Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
  • 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: Application de l’analyse à la géométrie
Triple: [Gaspard Monge, notableWork, Application de l’analyse à la géométrie]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Application de l’analyse à la géométrie
Target entity description: 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.
  • A. 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.
  • B. 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.
  • C. GAGA (Géométrie Algébrique et Géométrie Analytique)
    GAGA (Géométrie Algébrique et Géométrie Analytique) is Jean-Pierre Serre’s foundational 1956 paper establishing deep equivalences between algebraic geometry and complex analytic geometry, particularly for projective varieties.
  • D. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • E. Méthodes de calcul différentiel absolu et leurs applications
    Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
  • 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_69ad857eeaf48190b34ebfdaa7a264cf completed March 8, 2026, 2:19 p.m.
NER Named-entity recognition batch_69ada43954f0819096a96331bf3c53a8 completed March 8, 2026, 4:30 p.m.
NED1 Entity disambiguation (via context triple) batch_69b20394a8cc8190b114760079f8b0f6 completed March 12, 2026, 12:06 a.m.
NEDg Description generation batch_69b2043430548190a538c183aef44b44 completed March 12, 2026, 12:09 a.m.
NED2 Entity disambiguation (via description) batch_69b204c812f081908fe5733305123c0e completed March 12, 2026, 12:11 a.m.
Created at: March 8, 2026, 3:04 p.m.