Triple

T1358766
Position Surface form Disambiguated ID Type / Status
Subject Archimedes E29048 entity
Predicate notableWork P4 FINISHED
Object 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.
E157610 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: The Method of Mechanical Theorems | Statement: [Archimedes, notableWork, The Method of Mechanical Theorems]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: The Method of Mechanical Theorems
Context triple: [Archimedes, notableWork, The Method of Mechanical Theorems]
  • A. 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.
  • B. 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.
  • 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. 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.
  • E. On the Equilibrium of Planes
    On the Equilibrium of Planes is a foundational treatise by Archimedes that systematically develops the principles of statics and the law of the lever in classical mechanics.
  • 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: The Method of Mechanical Theorems
Triple: [Archimedes, notableWork, The Method of Mechanical Theorems]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: The Method of Mechanical Theorems
Target entity description: 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.
  • A. 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.
  • B. 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.
  • 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. 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.
  • E. On the Equilibrium of Planes
    On the Equilibrium of Planes is a foundational treatise by Archimedes that systematically develops the principles of statics and the law of the lever in classical mechanics.
  • 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_69acd47b63c081908a859a88ad5564b8 completed March 8, 2026, 1:44 a.m.
NEDg Description generation batch_69acd5314ac08190abf0ed287689dc5f completed March 8, 2026, 1:47 a.m.
NED2 Entity disambiguation (via description) batch_69acd59842f08190976724ad981de3d8 completed March 8, 2026, 1:49 a.m.
Created at: March 1, 2026, 7:56 p.m.