Triple

T12070447
Position Surface form Disambiguated ID Type / Status
Subject Einstein–Hilbert action E287408 entity
Predicate yieldsViaVariation P103045 FINISHED
Object Einstein field equations E1603 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.

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: Einstein field equations | Statement: [Einstein–Hilbert action, yieldsViaVariation, Einstein field equations]

Disambiguation candidates (2 decisions)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Einstein field equations
Context triple: [Einstein–Hilbert action, yieldsViaVariation, Einstein field equations]
  • A. Einstein field equations chosen
    The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
  • B. Einstein–Maxwell equations
    The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
  • C. Raychaudhuri equation
    The Raychaudhuri equation is a fundamental relation in general relativity that describes how the expansion of a congruence of nearby geodesics evolves, playing a key role in the formulation of gravitational focusing and singularity theorems.
  • D. Einstein–Hilbert action
    The Einstein–Hilbert action is the fundamental action in general relativity whose variation yields Einstein’s field equations, expressing gravity as the dynamics of spacetime curvature.
  • E. Einstein–Infeld–Hoffmann equations
    The Einstein–Infeld–Hoffmann equations are post-Newtonian equations of motion in general relativity that describe the dynamics of gravitating bodies with relativistic corrections beyond Newtonian gravity.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: yieldsViaVariation
Context triple: [Einstein–Hilbert action, yieldsViaVariation, Einstein field equations]
  • A. hasVariability
    Indicates that an entity exhibits variation or fluctuation in its state, value, or characteristics over time or across instances.
  • B. varietyOf
    Indicates that one entity is a specific type, kind, or variant of another, more general entity.
  • C. viewVariesAmong
    Indicates that the way something is viewed, perceived, or interpreted differs across multiple entities or contexts.
  • D. hasVarietyOf
    Indicates that an entity possesses or offers multiple different types, forms, or versions of something.
  • E. affectsVariant
    Indicates that one entity has an influence or impact on a specific variant or version of another entity.
  • F. None of above. chosen

Provenance (5 batches)

Stage Batch ID Job type Status
creating batch_69d6ab4846e081908ee7bbd66a6d3459 elicitation completed
NER batch_69d9100b4ca8819084845ca4c13e34ce ner completed
NED1 batch_69f5f65ccc788190942e16c56f2a495f ned_source_triple completed
PD batch_69d902bda47c8190b94860b31df4a98c pd completed
PDg batch_69d91006e14081909838412df082f794 pdg completed
Created at: April 8, 2026, 9:48 p.m.