Triple

T10991477
Position Surface form Disambiguated ID Type / Status
Subject Riemann–Stieltjes integral E259762 entity
Predicate namedAfter P63 FINISHED
Object Thomas Joannes Stieltjes
Thomas Joannes Stieltjes was a Dutch mathematician known for his foundational work in analysis and continued fractions, most notably the development of the Riemann–Stieltjes integral.
 E901942 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: Thomas Joannes Stieltjes | Statement: [Riemann–Stieltjes integral, namedAfter, Thomas Joannes Stieltjes]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Thomas Joannes Stieltjes
Context triple: [Riemann–Stieltjes integral, namedAfter, Thomas Joannes Stieltjes]
  • A. Joseph Liouville
    Joseph Liouville was a 19th-century French mathematician known for foundational contributions to number theory, complex analysis, and the early development of fractional calculus.
  • B. Charles Hermite
    Charles Hermite was a 19th-century French mathematician renowned for his work in number theory, algebra, and analysis, including the first proof that e is a transcendental number.
  • C. Johannes G. G. Darboux
    Johannes G. G. Darboux was a French mathematician known for his influential work in geometry and analysis, including the Darboux theorem and Darboux's law of intermediate values.
  • D. 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.
  • E. Charles-Jean de la Vallée Poussin
    Charles-Jean de la Vallée Poussin was a Belgian mathematician renowned for his foundational work in analysis and number theory, including an independent first proof of the prime number theorem.
  • 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: Thomas Joannes Stieltjes
Triple: [Riemann–Stieltjes integral, namedAfter, Thomas Joannes Stieltjes]
Generated description
Thomas Joannes Stieltjes was a Dutch mathematician known for his foundational work in analysis and continued fractions, most notably the development of the Riemann–Stieltjes integral.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Thomas Joannes Stieltjes
Target entity description: Thomas Joannes Stieltjes was a Dutch mathematician known for his foundational work in analysis and continued fractions, most notably the development of the Riemann–Stieltjes integral.
  • A. Joseph Liouville
    Joseph Liouville was a 19th-century French mathematician known for foundational contributions to number theory, complex analysis, and the early development of fractional calculus.
  • B. Charles Hermite
    Charles Hermite was a 19th-century French mathematician renowned for his work in number theory, algebra, and analysis, including the first proof that e is a transcendental number.
  • C. Johannes G. G. Darboux
    Johannes G. G. Darboux was a French mathematician known for his influential work in geometry and analysis, including the Darboux theorem and Darboux's law of intermediate values.
  • D. 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.
  • E. Charles-Jean de la Vallée Poussin
    Charles-Jean de la Vallée Poussin was a Belgian mathematician renowned for his foundational work in analysis and number theory, including an independent first proof of the prime number theorem.
  • 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_69d6aa8a6a548190a750f944ccdc8064 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d795d1e918819090c71f5a077fa15a completed April 9, 2026, 12:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69e3a9644ff08190a3005e4f6a8243fe completed April 18, 2026, 3:55 p.m.
NEDg Description generation batch_69e3ad00b5c08190a7bf3ecbeae76d88 completed April 18, 2026, 4:10 p.m.
NED2 Entity disambiguation (via description) batch_69e3b1efe4a88190884eb5186954cf39 completed April 18, 2026, 4:31 p.m.
Created at: April 8, 2026, 9:24 p.m.