Triple

T5658071
Position Surface form Disambiguated ID Type / Status
Subject Euclid E124667 entity
Predicate movement P81 FINISHED
Object 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.
E537786 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: Hellenistic mathematics | Statement: [Euclid, movement, Hellenistic mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Hellenistic mathematics
Context triple: [Euclid, movement, Hellenistic mathematics]
  • A. Hellenistic astronomy
    Hellenistic astronomy was the advanced Greco-Roman tradition of mathematical and observational astronomy that flourished after Alexander the Great, characterized by geometric models of planetary motion and the synthesis of Babylonian and Greek astronomical knowledge.
  • B. Egyptian mathematics
    Egyptian mathematics is the body of mathematical knowledge and techniques developed in ancient Egypt, notable for its practical arithmetic, geometry, and use of unit fractions in administrative, architectural, and surveying applications.
  • C. 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.
  • 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. Euclid's Elements
    Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
  • 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: Hellenistic mathematics
Triple: [Euclid, movement, Hellenistic mathematics]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Hellenistic mathematics
Target entity description: 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.
  • A. Hellenistic astronomy
    Hellenistic astronomy was the advanced Greco-Roman tradition of mathematical and observational astronomy that flourished after Alexander the Great, characterized by geometric models of planetary motion and the synthesis of Babylonian and Greek astronomical knowledge.
  • B. Egyptian mathematics
    Egyptian mathematics is the body of mathematical knowledge and techniques developed in ancient Egypt, notable for its practical arithmetic, geometry, and use of unit fractions in administrative, architectural, and surveying applications.
  • C. 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.
  • 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. Euclid's Elements
    Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
  • 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_69c0082774a481909d7e63fb2aad56ac completed March 22, 2026, 3:17 p.m.
NER Named-entity recognition batch_69c022fd9b148190bd4aa9c43500949f completed March 22, 2026, 5:12 p.m.
NED1 Entity disambiguation (via context triple) batch_69c04da37ffc819095f33e7e66e7c1d0 completed March 22, 2026, 8:14 p.m.
NEDg Description generation batch_69c04edf30448190a60eda49b8b031a0 completed March 22, 2026, 8:19 p.m.
NED2 Entity disambiguation (via description) batch_69c04fb62690819083327781cb857ccc completed March 22, 2026, 8:23 p.m.
Created at: March 22, 2026, 3:42 p.m.