Triple
T16974225
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Victor Shoup |
E411765
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
"A Computational Introduction to Number Theory and Algebra"
"A Computational Introduction to Number Theory and Algebra" is a widely used textbook that presents fundamental concepts in number theory and abstract algebra with a strong emphasis on algorithms and computational applications.
|
E1242678
|
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: "A Computational Introduction to Number Theory and Algebra" | Statement: [Victor Shoup, notableWork, "A Computational Introduction to Number Theory and Algebra"]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: "A Computational Introduction to Number Theory and Algebra" Context triple: [Victor Shoup, notableWork, "A Computational Introduction to Number Theory and Algebra"]
-
A.
A Course in Number Theory and Cryptography
A Course in Number Theory and Cryptography is a widely used textbook that introduces fundamental concepts of number theory with a strong emphasis on their applications to modern cryptography.
-
B.
NTIC
NTIC is the commonly used abbreviation for the National Telecommunications and Information Council, a governmental body focused on telecommunications and information policy.
-
C.
Algebraic Aspects of Cryptography
Algebraic Aspects of Cryptography is a graduate-level textbook that develops modern public-key cryptography using tools from algebraic number theory, algebraic geometry, and finite fields.
-
D.
Introduction to Elliptic Curves and Modular Forms
Introduction to Elliptic Curves and Modular Forms is a graduate-level mathematics textbook that develops the theory of elliptic curves and their deep connections to modular forms, number theory, and arithmetic geometry.
-
E.
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.
- 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: "A Computational Introduction to Number Theory and Algebra" Triple: [Victor Shoup, notableWork, "A Computational Introduction to Number Theory and Algebra"]
Generated description
"A Computational Introduction to Number Theory and Algebra" is a widely used textbook that presents fundamental concepts in number theory and abstract algebra with a strong emphasis on algorithms and computational applications.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: "A Computational Introduction to Number Theory and Algebra" Target entity description: "A Computational Introduction to Number Theory and Algebra" is a widely used textbook that presents fundamental concepts in number theory and abstract algebra with a strong emphasis on algorithms and computational applications.
-
A.
A Course in Number Theory and Cryptography
A Course in Number Theory and Cryptography is a widely used textbook that introduces fundamental concepts of number theory with a strong emphasis on their applications to modern cryptography.
-
B.
NTIC
NTIC is the commonly used abbreviation for the National Telecommunications and Information Council, a governmental body focused on telecommunications and information policy.
-
C.
Algebraic Aspects of Cryptography
Algebraic Aspects of Cryptography is a graduate-level textbook that develops modern public-key cryptography using tools from algebraic number theory, algebraic geometry, and finite fields.
-
D.
Introduction to Elliptic Curves and Modular Forms
Introduction to Elliptic Curves and Modular Forms is a graduate-level mathematics textbook that develops the theory of elliptic curves and their deep connections to modular forms, number theory, and arithmetic geometry.
-
E.
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.
- 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_69d886ca8f348190812768ea8d5055ce |
completed | April 10, 2026, 5:12 a.m. |
| NER | Named-entity recognition | batch_69e3d0af06688190a77682aa297cd27e |
completed | April 18, 2026, 6:42 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a00d4738fbc819099e8281ebc777091 |
completed | May 10, 2026, 6:54 p.m. |
| NEDg | Description generation | batch_6a00d51835c48190b1a37de6ac25ceaa |
completed | May 10, 2026, 6:57 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a00d59b96108190a0e55f01529a0b64 |
completed | May 10, 2026, 6:59 p.m. |
Created at: April 10, 2026, 5:31 a.m.