Triple

T3650891
Position Surface form Disambiguated ID Type / Status
Subject Kerr–Schild coordinates E77413 entity
Predicate containsTerm P2920 FINISHED
Object Minkowski metric η_{μν}
The Minkowski metric η_{μν} is the flat spacetime metric of special relativity, describing a four-dimensional spacetime with Lorentzian signature that serves as the background for many formulations of relativistic physics.
E376582 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: Minkowski metric η_{μν} | Statement: [Kerr–Schild coordinates, containsTerm, Minkowski metric η_{μν}]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Minkowski metric η_{μν}
Context triple: [Kerr–Schild coordinates, containsTerm, Minkowski metric η_{μν}]
  • A. Minkowski interval
    The Minkowski interval is the spacetime separation between two events in special relativity, remaining invariant under Lorentz and Poincaré transformations.
  • B. 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.
  • C. Ricci-Curbastro
    Ricci-Curbastro is the surname of the Italian mathematician Gregorio Ricci-Curbastro, a pioneer of tensor calculus and differential geometry.
  • D. Levi-Civita symbol
    The Levi-Civita symbol is an antisymmetric tensor used in mathematics and physics to represent orientations, cross products, and determinants in multiple dimensions.
  • E. 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.
  • 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: Minkowski metric η_{μν}
Triple: [Kerr–Schild coordinates, containsTerm, Minkowski metric η_{μν}]
Generated description
The Minkowski metric η_{μν} is the flat spacetime metric of special relativity, describing a four-dimensional spacetime with Lorentzian signature that serves as the background for many formulations of relativistic physics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Minkowski metric η_{μν}
Target entity description: The Minkowski metric η_{μν} is the flat spacetime metric of special relativity, describing a four-dimensional spacetime with Lorentzian signature that serves as the background for many formulations of relativistic physics.
  • A. Minkowski interval
    The Minkowski interval is the spacetime separation between two events in special relativity, remaining invariant under Lorentz and Poincaré transformations.
  • B. 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.
  • C. Ricci-Curbastro
    Ricci-Curbastro is the surname of the Italian mathematician Gregorio Ricci-Curbastro, a pioneer of tensor calculus and differential geometry.
  • D. Levi-Civita symbol
    The Levi-Civita symbol is an antisymmetric tensor used in mathematics and physics to represent orientations, cross products, and determinants in multiple dimensions.
  • E. 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.
  • 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_69ad85def5cc8190863dccf55a18bebb completed March 8, 2026, 2:21 p.m.
NER Named-entity recognition batch_69adc39303bc819090725643e53a96d6 completed March 8, 2026, 6:44 p.m.
NED1 Entity disambiguation (via context triple) batch_69b44f4002948190af41072962006f51 completed March 13, 2026, 5:54 p.m.
NEDg Description generation batch_69b4531590408190b6048b6b0335eb0a completed March 13, 2026, 6:10 p.m.
NED2 Entity disambiguation (via description) batch_69b466719c788190a70d8338b45c28ab completed March 13, 2026, 7:33 p.m.
Created at: March 8, 2026, 3:24 p.m.