Triple
T10991342
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | prime number theorem |
E259759
|
entity |
| Predicate | firstProofBy |
P1588
|
FINISHED |
| Object |
Charles-Jean de la Vallée Poussin
Charles-Jean de la Vallée Poussin was a Belgian mathematician renowned for his foundational work in analysis and number theory, including an independent first proof of the prime number theorem.
|
E898472
|
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: Charles-Jean de la Vallée Poussin | Statement: [prime number theorem, firstProofBy, Charles-Jean de la Vallée Poussin]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Charles-Jean de la Vallée Poussin Context triple: [prime number theorem, firstProofBy, Charles-Jean de la Vallée Poussin]
-
A.
Maxime Bôcher
Maxime Bôcher was an American mathematician known for his work in differential equations and analysis, and for his influential role in early 20th-century American mathematics.
-
B.
Georges Valiron
Georges Valiron was a French mathematician known for his influential work in complex analysis and the theory of entire and meromorphic functions.
-
C.
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.
-
D.
Edmund Landau
Edmund Landau was a prominent German mathematician known for his foundational work in analytic number theory and the rigorous development of mathematical analysis.
-
E.
Johannes G. van der Corput
Johannes G. van der Corput was a Dutch mathematician renowned for his foundational contributions to analytic number theory and uniform distribution.
- 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: Charles-Jean de la Vallée Poussin Triple: [prime number theorem, firstProofBy, Charles-Jean de la Vallée Poussin]
Generated description
Charles-Jean de la Vallée Poussin was a Belgian mathematician renowned for his foundational work in analysis and number theory, including an independent first proof of the prime number theorem.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Charles-Jean de la Vallée Poussin Target entity description: Charles-Jean de la Vallée Poussin was a Belgian mathematician renowned for his foundational work in analysis and number theory, including an independent first proof of the prime number theorem.
-
A.
Maxime Bôcher
Maxime Bôcher was an American mathematician known for his work in differential equations and analysis, and for his influential role in early 20th-century American mathematics.
-
B.
Georges Valiron
Georges Valiron was a French mathematician known for his influential work in complex analysis and the theory of entire and meromorphic functions.
-
C.
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.
-
D.
Edmund Landau
Edmund Landau was a prominent German mathematician known for his foundational work in analytic number theory and the rigorous development of mathematical analysis.
-
E.
Johannes G. van der Corput
Johannes G. van der Corput was a Dutch mathematician renowned for his foundational contributions to analytic number theory and uniform distribution.
- 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_69d6aa8a6a548190a750f944ccdc8064 |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d795d1e918819090c71f5a077fa15a |
completed | April 9, 2026, 12:04 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e34504ebec8190a78e4795765b0c24 |
completed | April 18, 2026, 8:47 a.m. |
| NEDg | Description generation | batch_69e3556fd3548190a33f04604be947cf |
completed | April 18, 2026, 9:57 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69e3593b0f8481909ed7a90f8bb9839d |
completed | April 18, 2026, 10:13 a.m. |
Created at: April 8, 2026, 9:24 p.m.