Triple

T9322383
Position Surface form Disambiguated ID Type / Status
Subject D. H. Hill E224299 entity
Predicate notableWork P4 FINISHED
Object Elements of Algebra
Elements of Algebra is a 19th-century mathematics textbook authored by Confederate general and educator D. H. Hill, used widely in the American South for teaching foundational algebra.
E791670 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: Elements of Algebra | Statement: [D. H. Hill, notableWork, Elements of Algebra]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Elements of Algebra
Context triple: [D. H. Hill, notableWork, Elements of Algebra]
  • A. Elements of Arithmetic
    Elements of Arithmetic is a foundational 19th-century mathematics textbook by Augustus De Morgan that systematically develops the principles of arithmetic and number theory.
  • B. Fundamental Concepts of Algebra
    Fundamental Concepts of Algebra is a foundational mathematics text by Claude Chevalley that systematically develops modern abstract algebra, particularly group, ring, and field theory.
  • C. Treatise on Demonstration of Problems of Algebra
    Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
  • D. Moderne Algebra
    Moderne Algebra is a foundational 20th-century textbook that systematically developed abstract algebra and helped shape the modern axiomatic approach to the subject.
  • E. 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.
  • 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: Elements of Algebra
Triple: [D. H. Hill, notableWork, Elements of Algebra]
Generated description
Elements of Algebra is a 19th-century mathematics textbook authored by Confederate general and educator D. H. Hill, used widely in the American South for teaching foundational algebra.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Elements of Algebra
Target entity description: Elements of Algebra is a 19th-century mathematics textbook authored by Confederate general and educator D. H. Hill, used widely in the American South for teaching foundational algebra.
  • A. Elements of Arithmetic
    Elements of Arithmetic is a foundational 19th-century mathematics textbook by Augustus De Morgan that systematically develops the principles of arithmetic and number theory.
  • B. Fundamental Concepts of Algebra
    Fundamental Concepts of Algebra is a foundational mathematics text by Claude Chevalley that systematically develops modern abstract algebra, particularly group, ring, and field theory.
  • C. Treatise on Demonstration of Problems of Algebra
    Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
  • D. Moderne Algebra
    Moderne Algebra is a foundational 20th-century textbook that systematically developed abstract algebra and helped shape the modern axiomatic approach to the subject.
  • E. 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.
  • 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_69ca8426d48481909596360f7791c7dd completed March 30, 2026, 2:09 p.m.
NER Named-entity recognition batch_69cd36f466b08190884abdc56501a0d8 completed April 1, 2026, 3:17 p.m.
NED1 Entity disambiguation (via context triple) batch_69d0c7d70b1c8190a254f58efc370624 completed April 4, 2026, 8:12 a.m.
NEDg Description generation batch_69d0cbb518708190a896b0bf1fb7c9c7 completed April 4, 2026, 8:28 a.m.
NED2 Entity disambiguation (via description) batch_69d0cc49215c8190894fe206d0230134 completed April 4, 2026, 8:31 a.m.
Created at: March 30, 2026, 7:38 p.m.