Triple
T7861118
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Adrien-Marie Legendre |
E182500
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Essai sur la théorie des nombres
Essai sur la théorie des nombres is a foundational 18th-century treatise on number theory by Adrien-Marie Legendre that systematically developed many key results in the field.
|
E695814
|
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: Essai sur la théorie des nombres | Statement: [Adrien-Marie Legendre, notableWork, Essai sur la théorie des nombres]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Essai sur la théorie des nombres Context triple: [Adrien-Marie Legendre, notableWork, Essai sur la théorie des nombres]
-
A.
“Le Grand Crible dans la Théorie Analytique des Nombres”
“Le Grand Crible dans la Théorie Analytique des Nombres” is a foundational monograph in analytic number theory that develops and applies the large sieve method to problems about the distribution of prime numbers and related arithmetic sequences.
-
B.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
-
C.
An Introduction to the Theory of Numbers
An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
-
D.
Theorie der algebraischen Zahlen
"Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
-
E.
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
Über die Anzahl der Primzahlen unter einer gegebenen Grösse is Bernhard Riemann’s seminal 1859 paper that introduced the Riemann zeta function and laid the foundations of analytic number theory, including the famous Riemann Hypothesis.
- 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: Essai sur la théorie des nombres Triple: [Adrien-Marie Legendre, notableWork, Essai sur la théorie des nombres]
Generated description
Essai sur la théorie des nombres is a foundational 18th-century treatise on number theory by Adrien-Marie Legendre that systematically developed many key results in the field.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Essai sur la théorie des nombres Target entity description: Essai sur la théorie des nombres is a foundational 18th-century treatise on number theory by Adrien-Marie Legendre that systematically developed many key results in the field.
-
A.
“Le Grand Crible dans la Théorie Analytique des Nombres”
“Le Grand Crible dans la Théorie Analytique des Nombres” is a foundational monograph in analytic number theory that develops and applies the large sieve method to problems about the distribution of prime numbers and related arithmetic sequences.
-
B.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
-
C.
An Introduction to the Theory of Numbers
An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
-
D.
Theorie der algebraischen Zahlen
"Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
-
E.
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
Über die Anzahl der Primzahlen unter einer gegebenen Grösse is Bernhard Riemann’s seminal 1859 paper that introduced the Riemann zeta function and laid the foundations of analytic number theory, including the famous Riemann Hypothesis.
- 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_69ca82887fd48190975896bf38c4596b |
completed | March 30, 2026, 2:02 p.m. |
| NER | Named-entity recognition | batch_69cb36bcb5cc8190a8a384ce0f020b9f |
completed | March 31, 2026, 2:51 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69cb5b4138d081908a5ff16b79f0a0c8 |
completed | March 31, 2026, 5:27 a.m. |
| NEDg | Description generation | batch_69cb5f1c9ef08190b1b79482f39966c7 |
completed | March 31, 2026, 5:43 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69cb767b198481909cfc1f7a44e6f0d8 |
completed | March 31, 2026, 7:23 a.m. |
Created at: March 30, 2026, 4:53 p.m.