Triple

T461741
Position Surface form Disambiguated ID Type / Status
Subject Einstein tensor E7353 entity
Predicate definedOn P4464 FINISHED
Object spacetime manifold
A spacetime manifold is a four-dimensional, smooth geometric framework in general relativity that models the combined fabric of space and time on which gravitational phenomena are described.
E57420 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: spacetime manifold | Statement: [Einstein tensor, definedOn, spacetime manifold]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: spacetime manifold
Context triple: [Einstein tensor, definedOn, spacetime manifold]
  • A. Minkowski space-time
    Minkowski space-time is a four-dimensional geometric framework that unifies three-dimensional space and time into a single continuum used to describe events and motion in special relativity.
  • B. 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).
  • C. Schwarzschild Penrose diagram
    The Schwarzschild Penrose diagram is a conformal spacetime diagram that compactly represents the causal structure of a non-rotating, uncharged black hole, including its event horizon and singularity.
  • D. Riemannian manifolds
    Riemannian manifolds are smooth manifolds equipped with an inner product on each tangent space that allows one to measure lengths, angles, and curvature in a curved geometric setting.
  • E. Riemann curvature tensor
    The Riemann curvature tensor is a fundamental geometric object in differential geometry that measures how much a Riemannian manifold deviates from being flat by encoding the intrinsic curvature of the space.
  • 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: spacetime manifold
Triple: [Einstein tensor, definedOn, spacetime manifold]
Generated description
A spacetime manifold is a four-dimensional, smooth geometric framework in general relativity that models the combined fabric of space and time on which gravitational phenomena are described.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: spacetime manifold
Target entity description: A spacetime manifold is a four-dimensional, smooth geometric framework in general relativity that models the combined fabric of space and time on which gravitational phenomena are described.
  • A. Minkowski space-time
    Minkowski space-time is a four-dimensional geometric framework that unifies three-dimensional space and time into a single continuum used to describe events and motion in special relativity.
  • B. 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).
  • C. Schwarzschild Penrose diagram
    The Schwarzschild Penrose diagram is a conformal spacetime diagram that compactly represents the causal structure of a non-rotating, uncharged black hole, including its event horizon and singularity.
  • D. Riemannian manifolds
    Riemannian manifolds are smooth manifolds equipped with an inner product on each tangent space that allows one to measure lengths, angles, and curvature in a curved geometric setting.
  • E. Riemann curvature tensor
    The Riemann curvature tensor is a fundamental geometric object in differential geometry that measures how much a Riemannian manifold deviates from being flat by encoding the intrinsic curvature of the space.
  • 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_69a2e7e5c5bc8190a1dc8178218fba40 completed Feb. 28, 2026, 1:04 p.m.
NER Named-entity recognition batch_69a2efbed5b88190a45716812eb4cfdf completed Feb. 28, 2026, 1:38 p.m.
NED1 Entity disambiguation (via context triple) batch_69a44f59e9348190a53c1734b95bc2c3 completed March 1, 2026, 2:38 p.m.
NEDg Description generation batch_69a44fb74a4481908538fa126571f803 completed March 1, 2026, 2:39 p.m.
NED2 Entity disambiguation (via description) batch_69a45011a750819098d2ce4908439eb1 completed March 1, 2026, 2:41 p.m.
Created at: Feb. 28, 2026, 1:12 p.m.