Triple

T14251369
Position Surface form Disambiguated ID Type / Status
Subject Jamshid al-Kashi E353270 entity
Predicate notableWork P4 FINISHED
Object Key to Arithmetic
Key to Arithmetic is a foundational 15th-century mathematical treatise by Persian astronomer and mathematician Jamshid al-Kashi, known for its systematic treatment of arithmetic and numerical computation.
E1090433 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: Key to Arithmetic | Statement: [Jamshid al-Kashi, notableWork, Key to Arithmetic]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Key to Arithmetic
Context triple: [Jamshid al-Kashi, notableWork, Key to Arithmetic]
  • 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. 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.
  • C. Sir Joseph Williamson's Mathematical School
    Sir Joseph Williamson's Mathematical School is a historic selective grammar school in Rochester, Kent, known for its strong academic tradition and emphasis on mathematics and sciences.
  • D. Philosophy and Fun of Algebra
    Philosophy and Fun of Algebra is an accessible, imaginative book that introduces algebraic ideas and mathematical thinking to children and lay readers through stories, puzzles, and philosophical reflections.
  • E. An Introduction to Algebra
    An Introduction to Algebra is a foundational mathematics textbook authored by Jeremiah Day that presents the basic principles and methods of algebra.
  • 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: Key to Arithmetic
Triple: [Jamshid al-Kashi, notableWork, Key to Arithmetic]
Generated description
Key to Arithmetic is a foundational 15th-century mathematical treatise by Persian astronomer and mathematician Jamshid al-Kashi, known for its systematic treatment of arithmetic and numerical computation.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Key to Arithmetic
Target entity description: Key to Arithmetic is a foundational 15th-century mathematical treatise by Persian astronomer and mathematician Jamshid al-Kashi, known for its systematic treatment of arithmetic and numerical computation.
  • 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. 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.
  • C. Sir Joseph Williamson's Mathematical School
    Sir Joseph Williamson's Mathematical School is a historic selective grammar school in Rochester, Kent, known for its strong academic tradition and emphasis on mathematics and sciences.
  • D. Philosophy and Fun of Algebra
    Philosophy and Fun of Algebra is an accessible, imaginative book that introduces algebraic ideas and mathematical thinking to children and lay readers through stories, puzzles, and philosophical reflections.
  • E. An Introduction to Algebra
    An Introduction to Algebra is a foundational mathematics textbook authored by Jeremiah Day that presents the basic principles and methods of algebra.
  • 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_69d8278c43e08190824146f4632b89a5 completed April 9, 2026, 10:26 p.m.
NER Named-entity recognition batch_69de6296f9d0819086f62f525d07eb12 completed April 14, 2026, 3:51 p.m.
NED1 Entity disambiguation (via context triple) batch_69fd325815d48190b070866f41986847 completed May 8, 2026, 12:46 a.m.
NEDg Description generation batch_69fd367fd9788190bd25f057d1f0942c completed May 8, 2026, 1:04 a.m.
NED2 Entity disambiguation (via description) batch_69fd37c1f4c0819085f5c577e673e9df completed May 8, 2026, 1:09 a.m.
Created at: April 10, 2026, 1:08 a.m.