Triple

T6922733
Position Surface form Disambiguated ID Type / Status
Subject Quadrature of the Parabola E160225 entity
Predicate mathematicalTechnique P51617 FINISHED
Object exhaustion by inscribed polygons LITERAL FINISHED

How this triple was built (2 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: exhaustion by inscribed polygons | Statement: [Quadrature of the Parabola, mathematicalTechnique, exhaustion by inscribed polygons]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: mathematicalTechnique
Context triple: [Quadrature of the Parabola, mathematicalTechnique, exhaustion by inscribed polygons]
  • A. mathematicallyUses
    Indicates that one entity employs or applies another entity within a mathematical context, such as in a formula, proof, computation, or theoretical framework.
  • B. mathematicallyExpressedBy
    Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
  • C. featuresTechnique chosen
    Indicates that something incorporates or makes use of a particular technique as part of its content or execution.
  • D. mathematicalObject
    Indicates that the subject is a mathematical entity or construct, such as a number, function, set, or structure, within a mathematical context.
  • E. mathematicallyFormulatedIn
    Indicates that something is expressed, defined, or represented using mathematical formulas, equations, or formal mathematical structures within a given context.
  • F. None of above.

Provenance (3 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_69c6884d350081908d8a970e4d40ad78 completed March 27, 2026, 1:38 p.m.
NER Named-entity recognition batch_69c6d9fd159c819092a69d1a24e22dd5 completed March 27, 2026, 7:26 p.m.
PD Predicate disambiguation batch_69c6d7bb577c81908ee8b415b4281f3d completed March 27, 2026, 7:17 p.m.
Created at: March 27, 2026, 2:26 p.m.