Triple

T1358764
Position Surface form Disambiguated ID Type / Status
Subject Archimedes E29048 entity
Predicate notableWork P4 FINISHED
Object 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.
E156209 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: On the Equilibrium of Planes | Statement: [Archimedes, notableWork, On the Equilibrium of Planes]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: On the Equilibrium of Planes
Context triple: [Archimedes, notableWork, On the Equilibrium of Planes]
  • A. The Science of Mechanics
    The Science of Mechanics is Ernst Mach’s influential treatise that critically examines the foundations of classical mechanics and helped shape the development of modern physics and the philosophy of science.
  • 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. Elementa curvarum linearum
    Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
  • D. Théorie analytique de la chaleur
    Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
  • E. Philosophiæ Naturalis Principia Mathematica
    Philosophiæ Naturalis Principia Mathematica is Isaac Newton’s foundational work that formulated the laws of motion and universal gravitation, becoming a cornerstone of classical physics and the Scientific Revolution.
  • 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: On the Equilibrium of Planes
Triple: [Archimedes, notableWork, On the Equilibrium of Planes]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: On the Equilibrium of Planes
Target entity description: 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.
  • A. The Science of Mechanics
    The Science of Mechanics is Ernst Mach’s influential treatise that critically examines the foundations of classical mechanics and helped shape the development of modern physics and the philosophy of science.
  • 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. Elementa curvarum linearum
    Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
  • D. Théorie analytique de la chaleur
    Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
  • E. Philosophiæ Naturalis Principia Mathematica
    Philosophiæ Naturalis Principia Mathematica is Isaac Newton’s foundational work that formulated the laws of motion and universal gravitation, becoming a cornerstone of classical physics and the Scientific Revolution.
  • 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_69acce701a84819094815ab6e8383b76 completed March 8, 2026, 1:18 a.m.
NEDg Description generation batch_69accf15d910819098e9a4b24247881b completed March 8, 2026, 1:21 a.m.
NED2 Entity disambiguation (via description) batch_69accff8af488190a7580cf7c02ceed9 completed March 8, 2026, 1:25 a.m.
Created at: March 1, 2026, 7:56 p.m.