Triple
T11961146
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | monotone convergence theorem |
E284671
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object |
Beppo Levi
Beppo Levi was an Italian mathematician known for his foundational contributions to measure theory and integration, particularly in the development of modern Lebesgue integration.
|
E956269
|
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: Beppo Levi | Statement: [monotone convergence theorem, namedAfter, Beppo Levi]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Beppo Levi Context triple: [monotone convergence theorem, namedAfter, Beppo Levi]
-
A.
Renato Caccioppoli
Renato Caccioppoli was a prominent 20th-century Italian mathematician known for his influential work in mathematical analysis and partial differential equations.
-
B.
Giuseppe Levi
Giuseppe Levi was an Italian physician and pioneering histologist known for his influential work in cell biology and for mentoring several future Nobel laureates.
-
C.
Ulisse Dini
Ulisse Dini was an Italian mathematician known for his contributions to real analysis and the theory of functions, including Dini's theorem on uniform convergence.
-
D.
Sergio Fubini
Sergio Fubini was an Italian theoretical physicist known for his contributions to quantum field theory and early string theory.
-
E.
Guido Castelnuovo
Guido Castelnuovo was an influential Italian mathematician and a founder of modern algebraic geometry, known for his fundamental contributions to the classification of algebraic curves and surfaces.
- 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: Beppo Levi Triple: [monotone convergence theorem, namedAfter, Beppo Levi]
Generated description
Beppo Levi was an Italian mathematician known for his foundational contributions to measure theory and integration, particularly in the development of modern Lebesgue integration.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Beppo Levi Target entity description: Beppo Levi was an Italian mathematician known for his foundational contributions to measure theory and integration, particularly in the development of modern Lebesgue integration.
-
A.
Renato Caccioppoli
Renato Caccioppoli was a prominent 20th-century Italian mathematician known for his influential work in mathematical analysis and partial differential equations.
-
B.
Giuseppe Levi
Giuseppe Levi was an Italian physician and pioneering histologist known for his influential work in cell biology and for mentoring several future Nobel laureates.
-
C.
Ulisse Dini
Ulisse Dini was an Italian mathematician known for his contributions to real analysis and the theory of functions, including Dini's theorem on uniform convergence.
-
D.
Sergio Fubini
Sergio Fubini was an Italian theoretical physicist known for his contributions to quantum field theory and early string theory.
-
E.
Guido Castelnuovo
Guido Castelnuovo was an influential Italian mathematician and a founder of modern algebraic geometry, known for his fundamental contributions to the classification of algebraic curves and surfaces.
- 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_69d6ab2eaeb881909f7914758f859413 |
completed | April 8, 2026, 7:23 p.m. |
| NER | Named-entity recognition | batch_69d9036941948190b150369094551731 |
completed | April 10, 2026, 2:04 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f4592fa9a48190a0450e3d0c57c4d3 |
completed | May 1, 2026, 7:41 a.m. |
| NEDg | Description generation | batch_69f4645ef63881909b46937f73d637a3 |
completed | May 1, 2026, 8:29 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69f465be4db08190882898a17d077019 |
completed | May 1, 2026, 8:35 a.m. |
Created at: April 8, 2026, 9:45 p.m.