Triple

T38281726
Position Surface form Disambiguated ID Type / Status
Subject Ibn Sahl's treatise on burning mirrors and lenses E1022095 entity
Predicate mathematicallyFormulates P8790 FINISHED
Object constant ratio of sines of incidence and refraction angles in different media 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: constant ratio of sines of incidence and refraction angles in different media | Statement: [Ibn Sahl's treatise on burning mirrors and lenses, mathematicallyFormulates, constant ratio of sines of incidence and refraction angles in different media]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: mathematicallyFormulates
Context triple: [Ibn Sahl's treatise on burning mirrors and lenses, mathematicallyFormulates, constant ratio of sines of incidence and refraction angles in different media]
  • A. mathematicallyFormulatedIn
    Indicates that something is expressed, defined, or represented using mathematical formulas, equations, or formal mathematical structures within a given context.
  • B. mathematicallyFormulatedBy chosen
    Indicates that something (such as a concept, model, or theory) is expressed or defined using mathematical formulations created by a particular agent.
  • C. mathematicallyReformulatedBy
    Indicates that one entity has been expressed again in a different or more formal mathematical form by another entity.
  • D. mathematicallyExpressedBy
    Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
  • E. formulatedInTermsOf
    Indicates that one concept, statement, or representation is expressed, defined, or described using the language, framework, or components of another.
  • 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_69f76df0cddc81908d16c1556ff4097f completed May 3, 2026, 3:46 p.m.
NER Named-entity recognition batch_69fccbd826708190b5fab12c4236299a completed May 7, 2026, 5:28 p.m.
PD Predicate disambiguation batch_69fcc58838e08190b8fa54aa5c165f2d completed May 7, 2026, 5:02 p.m.
Created at: May 3, 2026, 4:30 p.m.