Triple

T2364601
Position Surface form Disambiguated ID Type / Status
Subject Riemann–Lebesgue lemma E47351 entity
Predicate namedAfter P63 FINISHED
Object Henri Lebesgue
Henri Lebesgue was a French mathematician best known for founding modern measure theory and developing the Lebesgue integral, which revolutionized real analysis.
E259774 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: Henri Lebesgue | Statement: [Riemann–Lebesgue lemma, namedAfter, Henri Lebesgue]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Henri Lebesgue
Context triple: [Riemann–Lebesgue lemma, namedAfter, Henri Lebesgue]
  • A. Arnaud Denjoy
    Arnaud Denjoy was a French mathematician known for his contributions to real analysis, particularly in the theory of integration and trigonometric series.
  • B. 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.
  • C. Felix Hausdorff
    Felix Hausdorff was a German mathematician renowned as one of the founders of modern topology and a pioneer in set theory and measure theory.
  • D. Laurent Schwartz
    Laurent Schwartz was a French mathematician renowned for developing the theory of distributions, which revolutionized functional analysis and partial differential equations.
  • E. Salomon Bochner
    Salomon Bochner was a prominent 20th-century mathematician known for his influential work in analysis, probability theory, and differential geometry.
  • 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: Henri Lebesgue
Triple: [Riemann–Lebesgue lemma, namedAfter, Henri Lebesgue]
Generated description
Henri Lebesgue was a French mathematician best known for founding modern measure theory and developing the Lebesgue integral, which revolutionized real analysis.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Henri Lebesgue
Target entity description: Henri Lebesgue was a French mathematician best known for founding modern measure theory and developing the Lebesgue integral, which revolutionized real analysis.
  • A. Arnaud Denjoy
    Arnaud Denjoy was a French mathematician known for his contributions to real analysis, particularly in the theory of integration and trigonometric series.
  • B. 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.
  • C. Felix Hausdorff
    Felix Hausdorff was a German mathematician renowned as one of the founders of modern topology and a pioneer in set theory and measure theory.
  • D. Laurent Schwartz
    Laurent Schwartz was a French mathematician renowned for developing the theory of distributions, which revolutionized functional analysis and partial differential equations.
  • E. Salomon Bochner
    Salomon Bochner was a prominent 20th-century mathematician known for his influential work in analysis, probability theory, and differential geometry.
  • 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_69a88a1a4a6081908645b0f2914521ab completed March 4, 2026, 7:38 p.m.
NER Named-entity recognition batch_69abc7486cb48190acef1891cc87bdb1 completed March 7, 2026, 6:35 a.m.
NED1 Entity disambiguation (via context triple) batch_69aea896e0388190aabff2d70787dc43 completed March 9, 2026, 11:01 a.m.
NEDg Description generation batch_69aea91ce164819091aa24b287f9fb8e completed March 9, 2026, 11:03 a.m.
NED2 Entity disambiguation (via description) batch_69aea999b864819084134c670e7c5d9c completed March 9, 2026, 11:06 a.m.
Created at: March 4, 2026, 7:55 p.m.