Triple

T12198304
Position Surface form Disambiguated ID Type / Status
Subject Thomas Heath E290646 entity
Predicate notableWork P4 FINISHED
Object A History of Greek Mathematics
A History of Greek Mathematics is a comprehensive scholarly work by Thomas Heath that traces the development of mathematical thought in ancient Greece and its lasting influence on the discipline.
E970389 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: A History of Greek Mathematics | Statement: [Thomas Heath, notableWork, A History of Greek Mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: A History of Greek Mathematics
Context triple: [Thomas Heath, notableWork, A History of Greek Mathematics]
  • A. A History of Mathematics: From Mesopotamia to Modernity
    A History of Mathematics: From Mesopotamia to Modernity is a comprehensive survey book that traces the development of mathematical ideas across different cultures and historical periods, from ancient Mesopotamia to the modern era.
  • B. Hellenistic mathematics
    Hellenistic mathematics was the advanced mathematical tradition that flourished in the Greek-speaking world after Alexander the Great, characterized by rigorous geometric proofs and significant developments in fields such as geometry, number theory, and astronomy.
  • C. 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.
  • D. 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.
  • E. 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.
  • 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: A History of Greek Mathematics
Triple: [Thomas Heath, notableWork, A History of Greek Mathematics]
Generated description
A History of Greek Mathematics is a comprehensive scholarly work by Thomas Heath that traces the development of mathematical thought in ancient Greece and its lasting influence on the discipline.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: A History of Greek Mathematics
Target entity description: A History of Greek Mathematics is a comprehensive scholarly work by Thomas Heath that traces the development of mathematical thought in ancient Greece and its lasting influence on the discipline.
  • A. A History of Mathematics: From Mesopotamia to Modernity
    A History of Mathematics: From Mesopotamia to Modernity is a comprehensive survey book that traces the development of mathematical ideas across different cultures and historical periods, from ancient Mesopotamia to the modern era.
  • B. Hellenistic mathematics
    Hellenistic mathematics was the advanced mathematical tradition that flourished in the Greek-speaking world after Alexander the Great, characterized by rigorous geometric proofs and significant developments in fields such as geometry, number theory, and astronomy.
  • C. 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.
  • D. 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.
  • E. 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.
  • 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.