Triple

T179432
Position Surface form Disambiguated ID Type / Status
Subject Janet–Cartan theorem E3651 entity
Predicate namedAfter P63 FINISHED
Object Élie Cartan
Élie Cartan was a pioneering French mathematician renowned for his foundational work in differential geometry, Lie groups, and the theory of symmetric spaces.
E24242 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: Élie Cartan | Statement: [Janet–Cartan theorem, namedAfter, Élie Cartan]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Élie Cartan
Context triple: [Janet–Cartan theorem, namedAfter, Élie Cartan]
  • A. Hermann Weyl
    Hermann Weyl was a German mathematician and theoretical physicist renowned for his foundational contributions to group theory, differential geometry, and the mathematical formulation of gauge theory in modern physics.
  • B. Felix Klein
    Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
  • C. Hermann Minkowski
    Hermann Minkowski was a German mathematician and physicist best known for formulating the four-dimensional spacetime framework that underpins the theory of relativity.
  • D. 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.
  • E. Constantin Carathéodory
    Constantin Carathéodory was a prominent Greek-German mathematician known for his influential work in real analysis, the calculus of variations, and the foundations of thermodynamics.
  • 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: Élie Cartan
Triple: [Janet–Cartan theorem, namedAfter, Élie Cartan]
Generated description
Élie Cartan was a pioneering French mathematician renowned for his foundational work in differential geometry, Lie groups, and the theory of symmetric spaces.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Élie Cartan
Target entity description: Élie Cartan was a pioneering French mathematician renowned for his foundational work in differential geometry, Lie groups, and the theory of symmetric spaces.
  • A. Hermann Weyl
    Hermann Weyl was a German mathematician and theoretical physicist renowned for his foundational contributions to group theory, differential geometry, and the mathematical formulation of gauge theory in modern physics.
  • B. Felix Klein
    Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
  • C. Hermann Minkowski
    Hermann Minkowski was a German mathematician and physicist best known for formulating the four-dimensional spacetime framework that underpins the theory of relativity.
  • D. 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.
  • E. Constantin Carathéodory
    Constantin Carathéodory was a prominent Greek-German mathematician known for his influential work in real analysis, the calculus of variations, and the foundations of thermodynamics.
  • 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_69a25374990081909766d30c79a18e0e completed Feb. 28, 2026, 2:31 a.m.
NER Named-entity recognition batch_69a25900709c8190a65e778936be5dd5 completed Feb. 28, 2026, 2:54 a.m.
NED1 Entity disambiguation (via context triple) batch_69a305e3686c8190a6124673b83187d9 completed Feb. 28, 2026, 3:12 p.m.
NEDg Description generation batch_69a30a24d2b481908b295d59cb90f01e completed Feb. 28, 2026, 3:30 p.m.
NED2 Entity disambiguation (via description) batch_69a30a9c84a88190b946b9eaaafa2f91 completed Feb. 28, 2026, 3:32 p.m.
Created at: Feb. 28, 2026, 2:39 a.m.