Triple

T12597224
Position Surface form Disambiguated ID Type / Status
Subject Colin Maclaurin E300763 entity
Predicate notableWork P4 FINISHED
Object Treatise of Algebra
Treatise of Algebra is an 18th-century mathematical work by Scottish mathematician Colin Maclaurin that systematically develops algebraic theory and its applications.
E992325 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: Treatise of Algebra | Statement: [Colin Maclaurin, notableWork, Treatise of Algebra]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Treatise of Algebra
Context triple: [Colin Maclaurin, notableWork, Treatise of Algebra]
  • A. 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.
  • B. 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.
  • C. De institutione arithmetica
    De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
  • D. 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.
  • E. Al-Khwarizmi's Al-jabr wa-l-muqabala
    Al-Khwarizmi's *Al-jabr wa-l-muqabala* is a foundational 9th-century mathematical treatise that systematically introduced and developed algebra as an independent discipline.
  • 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: Treatise of Algebra
Triple: [Colin Maclaurin, notableWork, Treatise of Algebra]
Generated description
Treatise of Algebra is an 18th-century mathematical work by Scottish mathematician Colin Maclaurin that systematically develops algebraic theory and its applications.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Treatise of Algebra
Target entity description: Treatise of Algebra is an 18th-century mathematical work by Scottish mathematician Colin Maclaurin that systematically develops algebraic theory and its applications.
  • A. 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.
  • B. 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.
  • C. De institutione arithmetica
    De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
  • D. 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.
  • E. Al-Khwarizmi's Al-jabr wa-l-muqabala
    Al-Khwarizmi's *Al-jabr wa-l-muqabala* is a foundational 9th-century mathematical treatise that systematically introduced and developed algebra as an independent discipline.
  • 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_69d7bdea2ca881908f379526c13b1145 completed April 9, 2026, 2:55 p.m.
NER Named-entity recognition batch_69d954cf33b88190bff339fcd3142cc8 completed April 10, 2026, 7:51 p.m.
NED1 Entity disambiguation (via context triple) batch_69f65ec75fc08190aa13cbb0161eb35c completed May 2, 2026, 8:29 p.m.
NEDg Description generation batch_69f6605bca10819086966e1574c31318 completed May 2, 2026, 8:36 p.m.
NED2 Entity disambiguation (via description) batch_69f6617997188190bfce14c54619af7f completed May 2, 2026, 8:41 p.m.
Created at: April 9, 2026, 5:08 p.m.