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.