Triple

T65803
Position Surface form Disambiguated ID Type / Status
Subject Schwarzschild black hole E1310 entity
Predicate hasCurvatureInvariant P4461 FINISHED
Object Kretschmann scalar
The Kretschmann scalar is a curvature invariant in general relativity that combines components of the Riemann tensor into a single scalar quantity used to characterize the intensity of spacetime curvature, especially near singularities.
E4709 NE FINISHED

How this triple was built (5 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: Kretschmann scalar | Statement: [Schwarzschild black hole, hasCurvatureInvariant, Kretschmann scalar]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Kretschmann scalar
Context triple: [Schwarzschild black hole, hasCurvatureInvariant, Kretschmann scalar]
  • A. Einstein field equations
    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. Schwarzschild black hole
    A Schwarzschild black hole is the simplest theoretical black hole solution in general relativity, describing a static, spherically symmetric, non-rotating, uncharged mass with an event horizon defined by the Schwarzschild radius.
  • C. Oppenheimer–Snyder model
    The Oppenheimer–Snyder model is a pioneering theoretical description of gravitational collapse in general relativity, providing one of the first rigorous treatments of how a massive star can form a black hole.
  • D. FLRW cosmological models
    FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
  • E. Feynman–Hellmann theorem
    The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Kretschmann scalar
Triple: [Schwarzschild black hole, hasCurvatureInvariant, Kretschmann scalar]
Generated description
The Kretschmann scalar is a curvature invariant in general relativity that combines components of the Riemann tensor into a single scalar quantity used to characterize the intensity of spacetime curvature, especially near singularities.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Kretschmann scalar
Target entity description: The Kretschmann scalar is a curvature invariant in general relativity that combines components of the Riemann tensor into a single scalar quantity used to characterize the intensity of spacetime curvature, especially near singularities.
  • A. Einstein field equations
    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. Schwarzschild black hole
    A Schwarzschild black hole is the simplest theoretical black hole solution in general relativity, describing a static, spherically symmetric, non-rotating, uncharged mass with an event horizon defined by the Schwarzschild radius.
  • C. Oppenheimer–Snyder model
    The Oppenheimer–Snyder model is a pioneering theoretical description of gravitational collapse in general relativity, providing one of the first rigorous treatments of how a massive star can form a black hole.
  • D. FLRW cosmological models
    FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
  • E. Feynman–Hellmann theorem
    The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasCurvatureInvariant
Context triple: [Schwarzschild black hole, hasCurvatureInvariant, Kretschmann scalar]
  • A. hasEccentricity
    Indicates that an object or orbit possesses a specific degree of deviation from being perfectly circular, quantified by its eccentricity value.
  • B. hasMeanRadius
    Indicates that an entity possesses a specified average radius measurement, typically representing the mean distance from its center to its surface.
  • C. hasPolarRadius
    Indicates that an entity possesses a specific radius measured from its center to its pole, typically used for spheroidal or planetary bodies.
  • D. hasAverageSurfaceSpeed
    Indicates the typical or mean speed at which something moves across a surface over a given period or distance.
  • E. hasMeanDensity
    Indicates that one entity possesses a specified average mass per unit volume (mean density).
  • F. None of above. chosen

Provenance (7 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_69a24ba4f760819081f6638a3c70538a completed Feb. 28, 2026, 1:57 a.m.
NER Named-entity recognition batch_69a2516eda54819090f5c14384d4eab1 completed Feb. 28, 2026, 2:22 a.m.
NED1 Entity disambiguation (via context triple) batch_69a2554da8848190a445b503d98769aa completed Feb. 28, 2026, 2:39 a.m.
NEDg Description generation batch_69a255b409a081908871ed7fee07be29 completed Feb. 28, 2026, 2:40 a.m.
NED2 Entity disambiguation (via description) batch_69a256e8f7ec81909450c07bf7bafa0a completed Feb. 28, 2026, 2:46 a.m.
PD Predicate disambiguation batch_69a24ea5c140819080409a968c8d2ce8 completed Feb. 28, 2026, 2:10 a.m.
PDg Predicate description generation batch_69a2516d98e88190b79261bd3fcadd9b completed Feb. 28, 2026, 2:22 a.m.
Created at: Feb. 28, 2026, 2:02 a.m.