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.