Triple
T7625144
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Edward M. Wright |
E172608
|
entity |
| Predicate | coWrote |
P7732
|
FINISHED |
| Object |
An Introduction to the Theory of Numbers
An Introduction to the Theory of Numbers is a classic, widely used textbook in number theory that provides a rigorous yet accessible treatment of fundamental topics such as divisibility, Diophantine equations, prime numbers, and quadratic forms.
|
E120387
|
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: An Introduction to the Theory of Numbers | Statement: [Edward M. Wright, coWrote, An Introduction to the Theory of Numbers]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: An Introduction to the Theory of Numbers Context triple: [Edward M. Wright, coWrote, An Introduction to the Theory of Numbers]
-
A.
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.
-
B.
Three Pearls of Number Theory
Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
-
C.
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.
-
D.
The Higher Arithmetic
The Higher Arithmetic is a classic introductory textbook on number theory, widely regarded for its clear exposition and influence on generations of mathematicians.
-
E.
Number Theory: An Approach through History from Hammurapi to Legendre
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
- 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: An Introduction to the Theory of Numbers Triple: [Edward M. Wright, coWrote, An Introduction to the Theory of Numbers]
Generated description
An Introduction to the Theory of Numbers is a classic, widely used textbook in number theory that provides a rigorous yet accessible treatment of fundamental topics such as divisibility, Diophantine equations, prime numbers, and quadratic forms.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: An Introduction to the Theory of Numbers Target entity description: An Introduction to the Theory of Numbers is a classic, widely used textbook in number theory that provides a rigorous yet accessible treatment of fundamental topics such as divisibility, Diophantine equations, prime numbers, and quadratic forms.
-
A.
An Introduction to the Theory of Numbers
chosen
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.
-
B.
Three Pearls of Number Theory
Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
-
C.
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.
-
D.
The Higher Arithmetic
The Higher Arithmetic is a classic introductory textbook on number theory, widely regarded for its clear exposition and influence on generations of mathematicians.
-
E.
Number Theory: An Approach through History from Hammurapi to Legendre
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
- F. None of above.
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_69c699517e348190bd3348b6889200f2 |
completed | March 27, 2026, 2:50 p.m. |
| NER | Named-entity recognition | batch_69c6fa6648608190a9203b98b76209aa |
completed | March 27, 2026, 9:45 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c89ab1132481909e525e90764df041 |
completed | March 29, 2026, 3:21 a.m. |
| NEDg | Description generation | batch_69c89b9d22e88190b08543c975ce7898 |
completed | March 29, 2026, 3:25 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c89c2e62848190a5339707ba401772 |
completed | March 29, 2026, 3:27 a.m. |
Created at: March 27, 2026, 3:56 p.m.