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.