Triple

T25130792
Position Surface form Disambiguated ID Type / Status
Subject R∞ E629516 entity
Predicate appearsInFormula P12675 FINISHED
Object 1/λ = R∞ (1/n₁² − 1/n₂²) 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: 1/λ = R∞ (1/n₁² − 1/n₂²) | Statement: [R∞, appearsInFormula, 1/λ = R∞ (1/n₁² − 1/n₂²)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: appearsInFormula
Context triple: [R∞, appearsInFormula, 1/λ = R∞ (1/n₁² − 1/n₂²)]
  • A. areUsedIn
    Indicates that certain entities serve as components, tools, or resources within a particular process, context, or application.
  • B. mathematicallyExpressedBy chosen
    Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
  • C. formulaUsed
    Indicates that a particular formula is employed or applied in performing a calculation, derivation, or reasoning step.
  • D. isFormulatedUsing
    Indicates that something is created, defined, or expressed by means of a specified method, material, or set of components.
  • E. appearsInFullNameOf
    Indicates that one entity (typically a string or term) occurs as a contiguous part within the complete name of another entity.
  • 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_69e2ff338250819096ff6c8892804389 completed April 18, 2026, 3:49 a.m.
NER Named-entity recognition batch_69f48b9b687881908fd87a2f5fa0b1e7 completed May 1, 2026, 11:16 a.m.
PD Predicate disambiguation batch_69f48060597c8190a4414e4e4fcb1fec completed May 1, 2026, 10:28 a.m.
Created at: April 18, 2026, 6:28 a.m.