Triple

T6150042
Position Surface form Disambiguated ID Type / Status
Subject Enrico Bombieri E137175 entity
Predicate notableWork P4 FINISHED
Object “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.
E571018 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: “Le Grand Crible dans la Théorie Analytique des Nombres” | Statement: [Enrico Bombieri, notableWork, “Le Grand Crible dans la Théorie Analytique des Nombres”]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: “Le Grand Crible dans la Théorie Analytique des Nombres”
Context triple: [Enrico Bombieri, notableWork, “Le Grand Crible dans la Théorie Analytique des Nombres”]
  • A. 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.
  • 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. Multiplicative Number Theory
    Multiplicative Number Theory is a branch of analytic number theory that studies arithmetic functions and prime number distributions through their multiplicative properties and associated Dirichlet series.
  • E. Unsolved Problems in Number Theory
    *Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
  • 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: “Le Grand Crible dans la Théorie Analytique des Nombres”
Triple: [Enrico Bombieri, notableWork, “Le Grand Crible dans la Théorie Analytique des Nombres”]
Generated description
“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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: “Le Grand Crible dans la Théorie Analytique des Nombres”
Target entity description: “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.
  • A. 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.
  • 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. Multiplicative Number Theory
    Multiplicative Number Theory is a branch of analytic number theory that studies arithmetic functions and prime number distributions through their multiplicative properties and associated Dirichlet series.
  • E. Unsolved Problems in Number Theory
    *Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
  • 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_69c008a2c6308190a56519b22d55d083 completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c05ce329648190a03ba0233df841fa completed March 22, 2026, 9:19 p.m.
NED1 Entity disambiguation (via context triple) batch_69c13608944481909e22df6131a06e41 completed March 23, 2026, 12:46 p.m.
NEDg Description generation batch_69c13679dd58819099036d1119fa370b completed March 23, 2026, 12:47 p.m.
NED2 Entity disambiguation (via description) batch_69c1376db6a0819087c0d0aebc2e2b3e completed March 23, 2026, 12:51 p.m.
Created at: March 22, 2026, 4:16 p.m.