Triple

T16974214
Position Surface form Disambiguated ID Type / Status
Subject Victor Shoup E411765 entity
Predicate knownFor P22 FINISHED
Object textbook "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, particularly in cryptography.
E1242676 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: textbook "A Computational Introduction to Number Theory and Algebra" | Statement: [Victor Shoup, knownFor, textbook "A Computational Introduction to Number Theory and Algebra"]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: textbook "A Computational Introduction to Number Theory and Algebra"
Context triple: [Victor Shoup, knownFor, textbook "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. Cassels–Fröhlich: Algebraic Number Theory
    Cassels–Fröhlich: Algebraic Number Theory is a classic graduate-level textbook that provides a comprehensive and rigorous introduction to algebraic number theory and its foundational results.
  • C. textbook "An Invitation to Algebraic Geometry"
    "An Invitation to Algebraic Geometry" is an introductory textbook that presents the fundamental concepts and techniques of modern algebraic geometry in an accessible and intuitive way.
  • D. 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.
  • E. A Course in Arithmetic
    A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
  • 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: textbook "A Computational Introduction to Number Theory and Algebra"
Triple: [Victor Shoup, knownFor, textbook "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, particularly in cryptography.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: textbook "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, particularly in cryptography.
  • 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. Cassels–Fröhlich: Algebraic Number Theory
    Cassels–Fröhlich: Algebraic Number Theory is a classic graduate-level textbook that provides a comprehensive and rigorous introduction to algebraic number theory and its foundational results.
  • C. textbook "An Invitation to Algebraic Geometry"
    "An Invitation to Algebraic Geometry" is an introductory textbook that presents the fundamental concepts and techniques of modern algebraic geometry in an accessible and intuitive way.
  • D. 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.
  • E. A Course in Arithmetic
    A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
  • 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.