Triple

T79915
Position Surface form Disambiguated ID Type / Status
Subject Einstein field equations E1603 entity
Predicate admitsSolution P3643 FINISHED
Object de Sitter spacetime
de Sitter spacetime is a maximally symmetric, curved solution of general relativity that models an expanding universe dominated by a positive cosmological constant (dark energy).
E7354 NE FINISHED

How this triple was built (4 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: de Sitter spacetime | Statement: [Einstein field equations, admitsSolution, de Sitter spacetime]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: de Sitter spacetime
Context triple: [Einstein field equations, admitsSolution, de Sitter spacetime]
  • A. 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.
  • 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. 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.
  • E. 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.
  • 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: de Sitter spacetime
Triple: [Einstein field equations, admitsSolution, de Sitter spacetime]
Generated description
de Sitter spacetime is a maximally symmetric, curved solution of general relativity that models an expanding universe dominated by a positive cosmological constant (dark energy).
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: de Sitter spacetime
Target entity description: de Sitter spacetime is a maximally symmetric, curved solution of general relativity that models an expanding universe dominated by a positive cosmological constant (dark energy).
  • A. 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.
  • 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. Kasner
    Kasner is the birth surname of former German chancellor Angela Merkel, reflecting her family name before marriage.
  • D. 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.
  • E. 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.
  • F. None of above. chosen

Provenance (5 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_69a24c60d19c8190a1b6c105ca59ef5b completed Feb. 28, 2026, 2:01 a.m.
NER Named-entity recognition batch_69a2567c90308190a9b989c586f7e559 completed Feb. 28, 2026, 2:44 a.m.
NED1 Entity disambiguation (via context triple) batch_69a25abc7b648190b8a83a05f4c76af0 completed Feb. 28, 2026, 3:02 a.m.
NEDg Description generation batch_69a25caa409881909eb7dfe7d038cc39 completed Feb. 28, 2026, 3:10 a.m.
NED2 Entity disambiguation (via description) batch_69a25e287cc88190b2eb5ae02bd2f9d1 completed Feb. 28, 2026, 3:16 a.m.
Created at: Feb. 28, 2026, 2:06 a.m.