Triple

T1382311
Position Surface form Disambiguated ID Type / Status
Subject method of least squares E29364 entity
Predicate historicalDeveloper P4595 FINISHED
Object Adrien-Marie Legendre
Adrien-Marie Legendre was an influential 18th–19th century French mathematician known for major contributions to number theory, analysis, and mathematical statistics.
 E182500 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: Adrien-Marie Legendre | Statement: [method of least squares, historicalDeveloper, Adrien-Marie Legendre]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Adrien-Marie Legendre
Context triple: [method of least squares, historicalDeveloper, Adrien-Marie Legendre]
  • A. Siméon Denis Poisson
    Siméon Denis Poisson was a French mathematician and physicist renowned for his foundational contributions to probability theory, mathematical physics, and differential equations.
  • B. Joseph-Louis Lagrange
    Joseph-Louis Lagrange was an 18th-century mathematician and astronomer renowned for his foundational contributions to analysis, number theory, and classical mechanics, including the formulation of Lagrangian mechanics.
  • C. Augustin-Louis Cauchy
    Augustin-Louis Cauchy was a pioneering 19th-century French mathematician whose rigorous foundations for calculus and complex analysis profoundly shaped modern mathematics.
  • D. Peter Gustav Lejeune Dirichlet
    Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician renowned for his foundational contributions to number theory and analysis, including Dirichlet's theorem on arithmetic progressions.
  • E. Pierre-Simon Laplace
    Pierre-Simon Laplace was a French mathematician, physicist, and astronomer whose work laid the foundations of celestial mechanics, probability theory, and statistics.
  • 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: Adrien-Marie Legendre
Triple: [method of least squares, historicalDeveloper, Adrien-Marie Legendre]
Generated description
Adrien-Marie Legendre was an influential 18th–19th century French mathematician known for major contributions to number theory, analysis, and mathematical statistics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Adrien-Marie Legendre
Target entity description: Adrien-Marie Legendre was an influential 18th–19th century French mathematician known for major contributions to number theory, analysis, and mathematical statistics.
  • A. Siméon Denis Poisson
    Siméon Denis Poisson was a French mathematician and physicist renowned for his foundational contributions to probability theory, mathematical physics, and differential equations.
  • B. Joseph-Louis Lagrange
    Joseph-Louis Lagrange was an 18th-century mathematician and astronomer renowned for his foundational contributions to analysis, number theory, and classical mechanics, including the formulation of Lagrangian mechanics.
  • C. Augustin-Louis Cauchy
    Augustin-Louis Cauchy was a pioneering 19th-century French mathematician whose rigorous foundations for calculus and complex analysis profoundly shaped modern mathematics.
  • D. Peter Gustav Lejeune Dirichlet
    Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician renowned for his foundational contributions to number theory and analysis, including Dirichlet's theorem on arithmetic progressions.
  • E. Pierre-Simon Laplace
    Pierre-Simon Laplace was a French mathematician, physicist, and astronomer whose work laid the foundations of celestial mechanics, probability theory, and statistics.
  • 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_69a498d883a48190bfdca525296ef7ee completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c48ff58c8190aeaf09d3e7cad7c7 completed March 1, 2026, 10:58 p.m.
NED1 Entity disambiguation (via context triple) batch_69ad519e02148190866944223fbe1251 completed March 8, 2026, 10:38 a.m.
NEDg Description generation batch_69ad52b1243c8190b65c1f09ee9e2f02 completed March 8, 2026, 10:42 a.m.
NED2 Entity disambiguation (via description) batch_69ad53257d948190ac1dd9071726c9b5 completed March 8, 2026, 10:44 a.m.
Created at: March 1, 2026, 7:59 p.m.