Triple
T1358768
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Archimedes |
E29048
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Quadrature of the Parabola
Quadrature of the Parabola is a treatise by Archimedes in which he determines the area of a parabolic segment using an early form of infinite series and geometric summation.
|
E160225
|
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: Quadrature of the Parabola | Statement: [Archimedes, notableWork, Quadrature of the Parabola]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Quadrature of the Parabola Context triple: [Archimedes, notableWork, Quadrature of the Parabola]
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
The Sand Reckoner
The Sand Reckoner is a treatise by Archimedes in which he develops a system for expressing extremely large numbers to estimate the quantity of sand that could fit in the universe.
-
E.
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.
- 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: Quadrature of the Parabola Triple: [Archimedes, notableWork, Quadrature of the Parabola]
Generated description
Quadrature of the Parabola is a treatise by Archimedes in which he determines the area of a parabolic segment using an early form of infinite series and geometric summation.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Quadrature of the Parabola Target entity description: Quadrature of the Parabola is a treatise by Archimedes in which he determines the area of a parabolic segment using an early form of infinite series and geometric summation.
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
The Sand Reckoner
The Sand Reckoner is a treatise by Archimedes in which he develops a system for expressing extremely large numbers to estimate the quantity of sand that could fit in the universe.
-
E.
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.
- 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_69a498d77abc8190913bf57e5f51d2c4 |
completed | March 1, 2026, 7:51 p.m. |
| NER | Named-entity recognition | batch_69a4c28f5b988190b0be4504eabb919d |
completed | March 1, 2026, 10:49 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69acde181b388190a2093f21717d5aa8 |
completed | March 8, 2026, 2:25 a.m. |
| NEDg | Description generation | batch_69ace02f7c308190820f1b2a1e2b5626 |
completed | March 8, 2026, 2:34 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69ace0c8ac888190957e698b8b0b5984 |
completed | March 8, 2026, 2:36 a.m. |
Created at: March 1, 2026, 7:56 p.m.