Triple

T14030427
Position Surface form Disambiguated ID Type / Status
Subject Lucas sequences E337572 entity
Predicate namedAfter P63 FINISHED
Object Édouard Lucas
Édouard Lucas was a 19th-century French mathematician known for his work on number theory, particularly his study of integer sequences and primality tests.
E1088436 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: Édouard Lucas | Statement: [Lucas sequences, namedAfter, Édouard Lucas]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Édouard Lucas
Context triple: [Lucas sequences, namedAfter, Édouard Lucas]
  • A. Thomas Robert Bugeaud
    Thomas Robert Bugeaud was a 19th-century French marshal and colonial governor known for leading brutal military campaigns that consolidated French rule in Algeria.
  • B. Henri Delannoy
    Henri Delannoy was a French actor known for appearing in early silent films, including Georges Méliès’s pioneering science-fiction short "A Trip to the Moon."
  • C. Jacques Hadamard
    Jacques Hadamard was a prominent French mathematician known for his fundamental contributions to number theory, complex analysis, and partial differential equations, including the prime number theorem and the concept of well-posed problems.
  • D. 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.
  • E. Alexandre-Théophile Vandermonde
    Alexandre-Théophile Vandermonde was an 18th-century French mathematician and musician known for his contributions to algebra and determinants, including work that led to the concepts of Vandermonde matrices and Vandermonde's identity.
  • 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: Édouard Lucas
Triple: [Lucas sequences, namedAfter, Édouard Lucas]
Generated description
Édouard Lucas was a 19th-century French mathematician known for his work on number theory, particularly his study of integer sequences and primality tests.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Édouard Lucas
Target entity description: Édouard Lucas was a 19th-century French mathematician known for his work on number theory, particularly his study of integer sequences and primality tests.
  • A. Thomas Robert Bugeaud
    Thomas Robert Bugeaud was a 19th-century French marshal and colonial governor known for leading brutal military campaigns that consolidated French rule in Algeria.
  • B. Henri Delannoy
    Henri Delannoy was a French actor known for appearing in early silent films, including Georges Méliès’s pioneering science-fiction short "A Trip to the Moon."
  • C. Jacques Hadamard
    Jacques Hadamard was a prominent French mathematician known for his fundamental contributions to number theory, complex analysis, and partial differential equations, including the prime number theorem and the concept of well-posed problems.
  • D. 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.
  • E. Alexandre-Théophile Vandermonde
    Alexandre-Théophile Vandermonde was an 18th-century French mathematician and musician known for his contributions to algebra and determinants, including work that led to the concepts of Vandermonde matrices and Vandermonde's identity.
  • 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_69d81c6543a48190bd5ba93d7419e797 completed April 9, 2026, 9:38 p.m.
NER Named-entity recognition batch_69de2fa9f8248190930954d609dee5f1 completed April 14, 2026, 12:14 p.m.
NED1 Entity disambiguation (via context triple) batch_69fd27fdad4c8190bf5ce5d676284e62 completed May 8, 2026, 12:02 a.m.
NEDg Description generation batch_69fd2b6e3ad88190ac2029176bb6a9e2 completed May 8, 2026, 12:16 a.m.
NED2 Entity disambiguation (via description) batch_69fd2de33f808190a3d3cb61e056a325 completed May 8, 2026, 12:27 a.m.
Created at: April 9, 2026, 10:20 p.m.