Triple

T12198306
Position Surface form Disambiguated ID Type / Status
Subject Thomas Heath E290646 entity
Predicate notableWork P4 FINISHED
Object Apollonius of Perga: Treatise on Conic Sections
"Apollonius of Perga: Treatise on Conic Sections" is Thomas Heath’s influential scholarly work on the ancient Greek mathematician Apollonius and his foundational contributions to the geometry of conic sections.
E970391 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: Apollonius of Perga: Treatise on Conic Sections | Statement: [Thomas Heath, notableWork, Apollonius of Perga: Treatise on Conic Sections]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Apollonius of Perga: Treatise on Conic Sections
Context triple: [Thomas Heath, notableWork, Apollonius of Perga: Treatise on Conic Sections]
  • A. 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.
  • B. Commentary on Euclid's Elements
    Commentary on Euclid's Elements is a late antique philosophical and mathematical treatise by Proclus that analyzes and interprets Euclid’s foundational geometry text while preserving valuable information about earlier Greek mathematics.
  • C. Euclid's Elements
    Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
  • D. Euclid's Optics
    Euclid's Optics is an ancient Greek treatise that systematically analyzes visual perception and perspective using geometric principles, laying foundational ideas for later optical theory.
  • E. 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.
  • 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: Apollonius of Perga: Treatise on Conic Sections
Triple: [Thomas Heath, notableWork, Apollonius of Perga: Treatise on Conic Sections]
Generated description
"Apollonius of Perga: Treatise on Conic Sections" is Thomas Heath’s influential scholarly work on the ancient Greek mathematician Apollonius and his foundational contributions to the geometry of conic sections.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Apollonius of Perga: Treatise on Conic Sections
Target entity description: "Apollonius of Perga: Treatise on Conic Sections" is Thomas Heath’s influential scholarly work on the ancient Greek mathematician Apollonius and his foundational contributions to the geometry of conic sections.
  • A. 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.
  • B. Commentary on Euclid's Elements
    Commentary on Euclid's Elements is a late antique philosophical and mathematical treatise by Proclus that analyzes and interprets Euclid’s foundational geometry text while preserving valuable information about earlier Greek mathematics.
  • C. Euclid's Elements
    Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
  • D. Euclid's Optics
    Euclid's Optics is an ancient Greek treatise that systematically analyzes visual perception and perspective using geometric principles, laying foundational ideas for later optical theory.
  • E. 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.
  • 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_69d6ab64de5881908d56eb7a75c6cc69 completed April 8, 2026, 7:24 p.m.
NER Named-entity recognition batch_69d91c56b4d88190b6a32baff3375dc4 completed April 10, 2026, 3:50 p.m.
NED1 Entity disambiguation (via context triple) batch_69f60a9150448190b30e6e2dd8eec3b4 completed May 2, 2026, 2:30 p.m.
NEDg Description generation batch_69f60bdb39f48190ad6bc51db6c34163 completed May 2, 2026, 2:36 p.m.
NED2 Entity disambiguation (via description) batch_69f60d4889d48190b2dfda8a0978cc72 completed May 2, 2026, 2:42 p.m.
Created at: April 8, 2026, 9:50 p.m.