Triple

T9838883
Position Surface form Disambiguated ID Type / Status
Subject de Bruijn–van Aardenne–Ehrenfest theorem E239170 entity
Predicate namedAfter P63 FINISHED
Object T. van Aardenne-Ehrenfest
T. van Aardenne-Ehrenfest was a Dutch mathematician known for significant contributions to combinatorics and graph theory, including work on the de Bruijn–van Aardenne–Ehrenfest theorem.
E824088 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: T. van Aardenne-Ehrenfest | Statement: [de Bruijn–van Aardenne–Ehrenfest theorem, namedAfter, T. van Aardenne-Ehrenfest]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: T. van Aardenne-Ehrenfest
Context triple: [de Bruijn–van Aardenne–Ehrenfest theorem, namedAfter, T. van Aardenne-Ehrenfest]
  • A. N. G. de Bruijn
    N. G. de Bruijn was a Dutch mathematician renowned for his influential work in number theory, combinatorics, and logic, including the introduction of de Bruijn sequences and de Bruijn graphs.
  • B. Johan Frederik Koksma
    Johan Frederik Koksma was a Dutch mathematician known for his contributions to number theory and uniform distribution, and for supervising notable students such as N. G. de Bruijn.
  • C. Luitzen Egbertus Jan Brouwer
    Luitzen Egbertus Jan Brouwer was a Dutch mathematician and philosopher best known as the founder of intuitionism, a major school in the philosophy of mathematics that challenged classical logic and set theory.
  • D. Andries Bonger
    Andries Bonger was a Dutch art collector and dealer closely connected to the Van Gogh family and the early promotion of Vincent van Gogh’s work.
  • E. Hilda Geiringer
    Hilda Geiringer was an Austrian-American mathematician and pioneering applied probabilist, notable as one of the first women to hold a professorship in mathematics and for her contributions to applied mathematics and mechanics.
  • 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: T. van Aardenne-Ehrenfest
Triple: [de Bruijn–van Aardenne–Ehrenfest theorem, namedAfter, T. van Aardenne-Ehrenfest]
Generated description
T. van Aardenne-Ehrenfest was a Dutch mathematician known for significant contributions to combinatorics and graph theory, including work on the de Bruijn–van Aardenne–Ehrenfest theorem.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: T. van Aardenne-Ehrenfest
Target entity description: T. van Aardenne-Ehrenfest was a Dutch mathematician known for significant contributions to combinatorics and graph theory, including work on the de Bruijn–van Aardenne–Ehrenfest theorem.
  • A. N. G. de Bruijn
    N. G. de Bruijn was a Dutch mathematician renowned for his influential work in number theory, combinatorics, and logic, including the introduction of de Bruijn sequences and de Bruijn graphs.
  • B. Johan Frederik Koksma
    Johan Frederik Koksma was a Dutch mathematician known for his contributions to number theory and uniform distribution, and for supervising notable students such as N. G. de Bruijn.
  • C. Luitzen Egbertus Jan Brouwer
    Luitzen Egbertus Jan Brouwer was a Dutch mathematician and philosopher best known as the founder of intuitionism, a major school in the philosophy of mathematics that challenged classical logic and set theory.
  • D. Andries Bonger
    Andries Bonger was a Dutch art collector and dealer closely connected to the Van Gogh family and the early promotion of Vincent van Gogh’s work.
  • E. Hilda Geiringer
    Hilda Geiringer was an Austrian-American mathematician and pioneering applied probabilist, notable as one of the first women to hold a professorship in mathematics and for her contributions to applied mathematics and mechanics.
  • 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_69ca84e314108190978324a4bdb959f8 completed March 30, 2026, 2:12 p.m.
NER Named-entity recognition batch_69cdb34921b881909836ba0f5b42a27b completed April 2, 2026, 12:07 a.m.
NED1 Entity disambiguation (via context triple) batch_69d1d5d145ac8190ad10a4328216ef54 completed April 5, 2026, 3:24 a.m.
NEDg Description generation batch_69d1d6bb23cc81909efbeccf147018e8 completed April 5, 2026, 3:27 a.m.
NED2 Entity disambiguation (via description) batch_69d1d726e58c819090135d1ff275d2d8 completed April 5, 2026, 3:29 a.m.
Created at: March 30, 2026, 8:33 p.m.