Triple

T4585420
Position Surface form Disambiguated ID Type / Status
Subject William Rowan Hamilton E101954 entity
Predicate notableWork P4 FINISHED
Object Lectures on Quaternions
Lectures on Quaternions is a foundational 19th-century mathematical treatise in which William Rowan Hamilton systematically develops and expounds his theory of quaternions.
E455350 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: Lectures on Quaternions | Statement: [William Rowan Hamilton, notableWork, Lectures on Quaternions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Lectures on Quaternions
Context triple: [William Rowan Hamilton, notableWork, Lectures on Quaternions]
  • A. Disquisitiones Generales Circa Superficies Curvas
    Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
  • B. 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.
  • C. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • D. On Conoids and Spheroids
    "On Conoids and Spheroids" is a mathematical treatise by Archimedes in which he investigates the geometry, volumes, and surface areas of solids generated by rotating conic sections.
  • E. Elements of Analytical Geometry and of the Differential and Integral Calculus
    Elements of Analytical Geometry and of the Differential and Integral Calculus is a 19th-century mathematics textbook that systematically introduces analytic geometry alongside the fundamentals of differential and integral calculus.
  • 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: Lectures on Quaternions
Triple: [William Rowan Hamilton, notableWork, Lectures on Quaternions]
Generated description
Lectures on Quaternions is a foundational 19th-century mathematical treatise in which William Rowan Hamilton systematically develops and expounds his theory of quaternions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Lectures on Quaternions
Target entity description: Lectures on Quaternions is a foundational 19th-century mathematical treatise in which William Rowan Hamilton systematically develops and expounds his theory of quaternions.
  • A. Disquisitiones Generales Circa Superficies Curvas
    Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
  • B. 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.
  • C. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • D. On Conoids and Spheroids
    "On Conoids and Spheroids" is a mathematical treatise by Archimedes in which he investigates the geometry, volumes, and surface areas of solids generated by rotating conic sections.
  • E. Elements of Analytical Geometry and of the Differential and Integral Calculus
    Elements of Analytical Geometry and of the Differential and Integral Calculus is a 19th-century mathematics textbook that systematically introduces analytic geometry alongside the fundamentals of differential and integral calculus.
  • 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_69bd43d4ce208190b53158c882b222e3 completed March 20, 2026, 12:55 p.m.
NER Named-entity recognition batch_69bd59056bb48190ba1e0b5beda9bdc4 completed March 20, 2026, 2:26 p.m.
NED1 Entity disambiguation (via context triple) batch_69bde0aa114881909fe446bf86c675e7 completed March 21, 2026, 12:04 a.m.
NEDg Description generation batch_69bde14843148190a0b5fa0ad1d805d9 completed March 21, 2026, 12:07 a.m.
NED2 Entity disambiguation (via description) batch_69bde1b2efb48190a5ab83fa6c257df2 completed March 21, 2026, 12:09 a.m.
Created at: March 20, 2026, 1:10 p.m.