Triple

T5446358
Position Surface form Disambiguated ID Type / Status
Subject Carathéodory metric E122257 entity
Predicate majorizedBy P64353 FINISHED
Object Kobayashi metric
The Kobayashi metric is an intrinsic pseudometric in complex analysis that measures hyperbolic distance on complex manifolds and generalizes the Poincaré metric to higher dimensions.
E521038 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: Kobayashi metric | Statement: [Carathéodory metric, majorizedBy, Kobayashi metric]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Kobayashi metric
Context triple: [Carathéodory metric, majorizedBy, Kobayashi metric]
  • A. Carathéodory metric
    The Carathéodory metric is an intrinsic distance function in complex analysis that measures how far apart points are in a domain based on holomorphic mappings into the unit disk.
  • B. Gödel metric
    The Gödel metric is a solution to Einstein's field equations that describes a rotating universe allowing for closed timelike curves and thus the theoretical possibility of time travel.
  • C. Kerr metric
    The Kerr metric is the exact general relativity solution describing the spacetime geometry around a rotating, uncharged black hole.
  • D. 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.
  • E. Kerr–Schild coordinates
    Kerr–Schild coordinates are a coordinate system used to express the Kerr spacetime metric in a form that highlights its structure as a perturbation of flat Minkowski space along a principal null direction.
  • 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: Kobayashi metric
Triple: [Carathéodory metric, majorizedBy, Kobayashi metric]
Generated description
The Kobayashi metric is an intrinsic pseudometric in complex analysis that measures hyperbolic distance on complex manifolds and generalizes the Poincaré metric to higher dimensions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Kobayashi metric
Target entity description: The Kobayashi metric is an intrinsic pseudometric in complex analysis that measures hyperbolic distance on complex manifolds and generalizes the Poincaré metric to higher dimensions.
  • A. Carathéodory metric
    The Carathéodory metric is an intrinsic distance function in complex analysis that measures how far apart points are in a domain based on holomorphic mappings into the unit disk.
  • B. Gödel metric
    The Gödel metric is a solution to Einstein's field equations that describes a rotating universe allowing for closed timelike curves and thus the theoretical possibility of time travel.
  • C. Kerr metric
    The Kerr metric is the exact general relativity solution describing the spacetime geometry around a rotating, uncharged black hole.
  • D. 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.
  • E. Kerr–Schild coordinates
    Kerr–Schild coordinates are a coordinate system used to express the Kerr spacetime metric in a form that highlights its structure as a perturbation of flat Minkowski space along a principal null direction.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: majorizedBy
Context triple: [Carathéodory metric, majorizedBy, Kobayashi metric]
  • A. dominatedBy
    Indicates that one entity is under the control, influence, or overpowering authority of another entity.
  • B. dominatesSince
    Indicates that one entity has maintained a position of dominance or control over another entity continuously from a specified starting time onward.
  • C. isMajor
    Indicates that an entity holds primary or greater significance, importance, or rank relative to others in a given context.
  • D. minimizedBy
    Indicates that one entity serves to reduce, lessen, or make as small as possible the value, effect, or impact of another entity.
  • E. isUpperBoundFor
    Indicates that one value is greater than or equal to every element in a given set or collection, serving as an upper limit for them.
  • 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_69bd4640f52c81909e653ec361f66d76 completed March 20, 2026, 1:06 p.m.
NER Named-entity recognition batch_69bd95be329c81908783420cf81b6af5 completed March 20, 2026, 6:45 p.m.
NED1 Entity disambiguation (via context triple) batch_69bf413573c08190beae400c485d2132 completed March 22, 2026, 1:09 a.m.
NEDg Description generation batch_69bf4364b2f48190b69cc27ca6900892 completed March 22, 2026, 1:18 a.m.
NED2 Entity disambiguation (via description) batch_69bf43b523a88190938662ae89eba502 completed March 22, 2026, 1:19 a.m.
PD Predicate disambiguation batch_69bd919e8d18819098c4af6a015e5cc2 completed March 20, 2026, 6:27 p.m.
PDg Predicate description generation batch_69bd95bd53f48190a03144beb290f2cb completed March 20, 2026, 6:45 p.m.
Created at: March 20, 2026, 2:07 p.m.