Triple

T365404
Position Surface form Disambiguated ID Type / Status
Subject The Mathematical Theory of Black Holes E7948 entity
Predicate covers P1393 FINISHED
Object Schwarzschild metric
The Schwarzschild metric is the exact solution to Einstein’s field equations that describes the spacetime geometry outside a static, spherically symmetric, non-rotating mass such as an idealized black hole.
E1310 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: Schwarzschild metric | Statement: [The Mathematical Theory of Black Holes, covers, Schwarzschild metric]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schwarzschild metric
Context triple: [The Mathematical Theory of Black Holes, covers, Schwarzschild metric]
  • A. Kerr metric
    The Kerr metric is the exact general relativity solution describing the spacetime geometry around a rotating, uncharged black hole.
  • 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. Reissner–Nordström metric
    The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
  • D. Schwarzschild coordinates
    Schwarzschild coordinates are a spherical coordinate system used in general relativity to describe the spacetime geometry outside a spherically symmetric, non-rotating mass, such as a static black hole.
  • E. Schwarzschild radius
    The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
  • 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: Schwarzschild metric
Triple: [The Mathematical Theory of Black Holes, covers, Schwarzschild metric]
Generated description
The Schwarzschild metric is the exact solution to Einstein’s field equations that describes the spacetime geometry outside a static, spherically symmetric, non-rotating mass such as an idealized black hole.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Schwarzschild metric
Target entity description: The Schwarzschild metric is the exact solution to Einstein’s field equations that describes the spacetime geometry outside a static, spherically symmetric, non-rotating mass such as an idealized black hole.
  • A. Kerr metric
    The Kerr metric is the exact general relativity solution describing the spacetime geometry around a rotating, uncharged black hole.
  • B. Schwarzschild black hole chosen
    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. Reissner–Nordström metric
    The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
  • D. Schwarzschild coordinates
    Schwarzschild coordinates are a spherical coordinate system used in general relativity to describe the spacetime geometry outside a spherically symmetric, non-rotating mass, such as a static black hole.
  • E. Schwarzschild radius
    The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
  • F. None of above.

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_69a2e7e880008190a6ad7e06e5d03007 completed Feb. 28, 2026, 1:04 p.m.
NER Named-entity recognition batch_69a2ebe7d4d0819083daeb7686ae1914 completed Feb. 28, 2026, 1:21 p.m.
NED1 Entity disambiguation (via context triple) batch_69a3f0a5e5dc81909363a31e9b713368 completed March 1, 2026, 7:54 a.m.
NEDg Description generation batch_69a3f128b6008190afacdb055a84a9c4 completed March 1, 2026, 7:56 a.m.
NED2 Entity disambiguation (via description) batch_69a3f181e55c8190a3995775ff6ceeb9 completed March 1, 2026, 7:57 a.m.
Created at: Feb. 28, 2026, 1:08 p.m.