Triple
T1686032
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Platonic solids |
E36442
|
entity |
| Predicate | describedIn |
P519
|
FINISHED |
| Object |
Book XIII of Euclid's Elements
Book XIII of Euclid's Elements is the concluding book of Euclid’s mathematical treatise, focusing on the construction and properties of the five regular Platonic solids within the framework of classical Greek geometry.
|
E190162
|
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: Book XIII of Euclid's Elements | Statement: [Platonic solids, describedIn, Book XIII of Euclid's Elements]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Book XIII of Euclid's Elements Context triple: [Platonic solids, describedIn, Book XIII of Euclid's Elements]
-
A.
Euclides adauctus et methodicus
Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
-
B.
Commentary on the Difficulties of Certain Postulates of Euclid
Commentary on the Difficulties of Certain Postulates of Euclid is a mathematical treatise by Omar Khayyam in which he critically examines and attempts to resolve issues in Euclid’s postulates, especially the parallel postulate, laying early groundwork for later developments in geometry.
-
C.
The Method of Mechanical Theorems
The Method of Mechanical Theorems is a treatise by Archimedes in which he uses heuristic mechanical arguments, involving balances and centers of mass, to discover and justify results in geometry and calculus-like area and volume calculations.
-
D.
On the Measurement of the Circle
On the Measurement of the Circle is a mathematical treatise by Archimedes in which he rigorously approximates the value of π and explores properties of circles.
-
E.
On the Sphere and Cylinder
On the Sphere and Cylinder is a foundational mathematical treatise by Archimedes in which he develops key results in geometry, including the relationships between the surface areas and volumes of spheres and cylinders.
- 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: Book XIII of Euclid's Elements Triple: [Platonic solids, describedIn, Book XIII of Euclid's Elements]
Generated description
Book XIII of Euclid's Elements is the concluding book of Euclid’s mathematical treatise, focusing on the construction and properties of the five regular Platonic solids within the framework of classical Greek geometry.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Book XIII of Euclid's Elements Target entity description: Book XIII of Euclid's Elements is the concluding book of Euclid’s mathematical treatise, focusing on the construction and properties of the five regular Platonic solids within the framework of classical Greek geometry.
-
A.
Euclides adauctus et methodicus
Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
-
B.
Commentary on the Difficulties of Certain Postulates of Euclid
Commentary on the Difficulties of Certain Postulates of Euclid is a mathematical treatise by Omar Khayyam in which he critically examines and attempts to resolve issues in Euclid’s postulates, especially the parallel postulate, laying early groundwork for later developments in geometry.
-
C.
The Method of Mechanical Theorems
The Method of Mechanical Theorems is a treatise by Archimedes in which he uses heuristic mechanical arguments, involving balances and centers of mass, to discover and justify results in geometry and calculus-like area and volume calculations.
-
D.
On the Measurement of the Circle
On the Measurement of the Circle is a mathematical treatise by Archimedes in which he rigorously approximates the value of π and explores properties of circles.
-
E.
On the Sphere and Cylinder
On the Sphere and Cylinder is a foundational mathematical treatise by Archimedes in which he develops key results in geometry, including the relationships between the surface areas and volumes of spheres and cylinders.
- 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_69a886151508819084fa7f1ce6e05577 |
completed | March 4, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69aa6293c368819094ab0f615e418647 |
completed | March 6, 2026, 5:13 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ad71c1b4308190b04fed7ce752b67c |
completed | March 8, 2026, 12:55 p.m. |
| NEDg | Description generation | batch_69ad724651e08190a77519ad21c64b23 |
completed | March 8, 2026, 12:57 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69ad72c405b081909bff8bf621e9baec |
completed | March 8, 2026, 12:59 p.m. |
Created at: March 4, 2026, 7:29 p.m.