Triple
T18479746
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lebesgue differentiation theorem |
E451526
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object | Henri Lebesgue |
—
|
NE NERFINISHED |
How this triple was built (2 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: [Lebesgue differentiation theorem, namedAfter, Henri Lebesgue]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Henri Lebesgue Context triple: [Lebesgue differentiation theorem, namedAfter, Henri Lebesgue]
-
A.
Henri Lebesgue
chosen
Henri Lebesgue was a French mathematician best known for founding modern measure theory and developing the Lebesgue integral, which revolutionized real analysis.
-
B.
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.
-
C.
Émile Borel
Émile Borel was a pioneering French mathematician known for his foundational work in measure theory, probability, and the theory of functions.
-
D.
Arnaud Denjoy
Arnaud Denjoy was a French mathematician known for his contributions to real analysis, particularly in the theory of integration and trigonometric series.
-
E.
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.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 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_69d8d38465a0819099b9b42d2a662ac1 |
completed | April 10, 2026, 10:40 a.m. |
| NER | Named-entity recognition | batch_69e53066a7108190a50eda9b489c90ca |
completed | April 19, 2026, 7:43 p.m. |
Created at: April 10, 2026, 11:35 a.m.