Triple
T21047138
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Baire category theorem |
E518477
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object |
René-Louis Baire
René-Louis Baire was a French mathematician best known for his foundational work in real analysis and topology, particularly his development of the theory of functions of a real variable and the concept of Baire categories.
|
E1463335
|
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: René-Louis Baire | Statement: [Baire category theorem, namedAfter, René-Louis Baire]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: René-Louis Baire Context triple: [Baire category theorem, namedAfter, René-Louis Baire]
-
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.
Henri Lebesgue
Henri Lebesgue was a French mathematician best known for founding modern measure theory and developing the Lebesgue integral, which revolutionized real analysis.
-
C.
Maurice Fréchet
Maurice Fréchet was a pioneering French mathematician whose work laid foundational principles in topology and functional analysis, including the concept of metric spaces.
-
D.
Émile Borel
Émile Borel was a pioneering French mathematician known for his foundational work in measure theory, probability, and the theory of functions.
-
E.
Gustave Choquet
Gustave Choquet was a French mathematician renowned for his work in functional analysis, potential theory, and the development of Choquet theory and the Choquet integral.
- 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: René-Louis Baire Triple: [Baire category theorem, namedAfter, René-Louis Baire]
Generated description
René-Louis Baire was a French mathematician best known for his foundational work in real analysis and topology, particularly his development of the theory of functions of a real variable and the concept of Baire categories.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: René-Louis Baire Target entity description: René-Louis Baire was a French mathematician best known for his foundational work in real analysis and topology, particularly his development of the theory of functions of a real variable and the concept of Baire categories.
-
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.
Henri Lebesgue
Henri Lebesgue was a French mathematician best known for founding modern measure theory and developing the Lebesgue integral, which revolutionized real analysis.
-
C.
Maurice Fréchet
Maurice Fréchet was a pioneering French mathematician whose work laid foundational principles in topology and functional analysis, including the concept of metric spaces.
-
D.
Émile Borel
Émile Borel was a pioneering French mathematician known for his foundational work in measure theory, probability, and the theory of functions.
-
E.
Gustave Choquet
Gustave Choquet was a French mathematician renowned for his work in functional analysis, potential theory, and the development of Choquet theory and the Choquet integral.
- 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_69e0b50438e08190917e2538bb8bc034 |
completed | April 16, 2026, 10:08 a.m. |
| NER | Named-entity recognition | batch_69e6fcf4d26481908b639996500a8319 |
completed | April 21, 2026, 4:28 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a09475512b081908ceb38a118b0f026 |
completed | May 17, 2026, 4:43 a.m. |
| NEDg | Description generation | batch_6a09489e80288190b401d11ccde39dc1 |
completed | May 17, 2026, 4:48 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a094995d5bc8190b25d328dbf06b8b1 |
completed | May 17, 2026, 4:52 a.m. |
Created at: April 16, 2026, 2:34 p.m.