Triple

T5229411
Position Surface form Disambiguated ID Type / Status
Subject Klein–Gordon equation E118070 entity
Predicate hasLagrangianDensity P52582 FINISHED
Object ℒ = 1/2 (∂_μ φ ∂^μ φ − m^2 φ^2) 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: ℒ = 1/2 (∂_μ φ ∂^μ φ − m^2 φ^2) | Statement: [Klein–Gordon equation, hasLagrangianDensity, ℒ = 1/2 (∂_μ φ ∂^μ φ − m^2 φ^2)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasLagrangianDensity
Context triple: [Klein–Gordon equation, hasLagrangianDensity, ℒ = 1/2 (∂_μ φ ∂^μ φ − m^2 φ^2)]
  • A. LagrangianContains chosen
    Indicates that a given term, field, or interaction is included as part of the Lagrangian in a physical or mathematical model.
  • B. hasLieAlgebra
    Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
  • C. hasConservedQuantity
    Indicates that a system or process possesses a quantity that remains constant (is conserved) throughout its evolution or interactions.
  • D. hasSymbolicForm
    Indicates that one entity serves as the symbolic representation or abstract form of another entity.
  • E. hasDegreeOfFreedom
    Indicates that one entity possesses a specific independent parameter or mode in which it can vary or move relative to another entity or within a system.
  • 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_69bd4466fb8c819083b806a79414d7e4 completed March 20, 2026, 12:58 p.m.
NER Named-entity recognition batch_69bd7b0093a88190aba381ba3f761408 completed March 20, 2026, 4:51 p.m.
PD Predicate disambiguation batch_69bd77bf1ef08190bb3487b3f3ee088c completed March 20, 2026, 4:37 p.m.
Created at: March 20, 2026, 1:48 p.m.