Triple

T515591
Position Surface form Disambiguated ID Type / Status
Subject École Polytechnique E10698 entity
Predicate hasAlumnus P51 FINISHED
Object 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.
 E66240 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: Jacques Hadamard | Statement: [École Polytechnique, hasAlumnus, Jacques Hadamard]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Jacques Hadamard
Context triple: [École Polytechnique, hasAlumnus, Jacques Hadamard]
  • A. Émile Picard
    Émile Picard was a prominent French mathematician known for his fundamental contributions to complex analysis and algebraic geometry, including Picard's theorems.
  • B. Henri Poincaré
    Henri Poincaré was a French mathematician, theoretical physicist, and philosopher of science renowned for his foundational contributions to topology, dynamical systems, and the theory of relativity.
  • C. Karl Weierstrass
    Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
  • D. 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.
  • E. David Hilbert
    David Hilbert was a pioneering German mathematician whose foundational work in fields such as invariant theory, axiomatic systems, and functional analysis profoundly shaped modern mathematics.
  • 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: Jacques Hadamard
Triple: [École Polytechnique, hasAlumnus, Jacques Hadamard]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Jacques Hadamard
Target entity description: 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.
  • A. Émile Picard
    Émile Picard was a prominent French mathematician known for his fundamental contributions to complex analysis and algebraic geometry, including Picard's theorems.
  • B. Henri Poincaré
    Henri Poincaré was a French mathematician, theoretical physicist, and philosopher of science renowned for his foundational contributions to topology, dynamical systems, and the theory of relativity.
  • C. Karl Weierstrass
    Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
  • D. 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.
  • E. David Hilbert
    David Hilbert was a pioneering German mathematician whose foundational work in fields such as invariant theory, axiomatic systems, and functional analysis profoundly shaped modern mathematics.
  • 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_69a2e84a0d08819087e01863fcd9abf1 completed Feb. 28, 2026, 1:06 p.m.
NER Named-entity recognition batch_69a2f1836b688190a60cc901a8724159 completed Feb. 28, 2026, 1:45 p.m.
NED1 Entity disambiguation (via context triple) batch_69a4b5d3b5f0819093c5d55bdf5a7c4d completed March 1, 2026, 9:55 p.m.
NEDg Description generation batch_69a4b673f5dc8190a70b7ddcf76ec016 completed March 1, 2026, 9:58 p.m.
NED2 Entity disambiguation (via description) batch_69a4b79ec4b48190b992f642aa7cddb7 completed March 1, 2026, 10:03 p.m.
Created at: Feb. 28, 2026, 1:12 p.m.