Triple

T21145398
Position Surface form Disambiguated ID Type / Status
Subject Lempert function on convex domains E521040 entity
Predicate relatedTo P37 FINISHED
Object Kobayashi distance
The Kobayashi distance is an intrinsic pseudometric in complex analysis that measures the hyperbolic geometry of complex manifolds and domains.
 E1469579 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: Kobayashi distance | Statement: [Lempert function on convex domains, relatedTo, Kobayashi distance]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Kobayashi distance
Context triple: [Lempert function on convex domains, relatedTo, Kobayashi distance]
  • A. koban
    The koban was an oval gold coin used as a standard unit of currency in Japan during the Edo period under the Tokugawa shogunate.
  • B. Kudla Connection
    Kudla Connection is a notable Tulu-language film recognized within the regional Tulu cinema industry.
  • C. Kashiwara
    Kashiwara is a city in Osaka Prefecture, Japan, known as a suburban residential and commercial area within the Kansai region’s rail network.
  • D. Kodaira
    Kodaira is a suburban city in western Tokyo, Japan, known as a residential area with parks, schools, and convenient rail access to central Tokyo.
  • E. Namba
    Namba is a major commercial and entertainment district in Osaka, Japan, known for its bustling nightlife, shopping, and iconic neon-lit streets.
  • 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 distance
Triple: [Lempert function on convex domains, relatedTo, Kobayashi distance]
Generated description
The Kobayashi distance is an intrinsic pseudometric in complex analysis that measures the hyperbolic geometry of complex manifolds and domains.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Kobayashi distance
Target entity description: The Kobayashi distance is an intrinsic pseudometric in complex analysis that measures the hyperbolic geometry of complex manifolds and domains.
  • A. koban
    The koban was an oval gold coin used as a standard unit of currency in Japan during the Edo period under the Tokugawa shogunate.
  • B. Kudla Connection
    Kudla Connection is a notable Tulu-language film recognized within the regional Tulu cinema industry.
  • C. Kashiwara
    Kashiwara is a city in Osaka Prefecture, Japan, known as a suburban residential and commercial area within the Kansai region’s rail network.
  • D. Kodaira
    Kodaira is a suburban city in western Tokyo, Japan, known as a residential area with parks, schools, and convenient rail access to central Tokyo.
  • E. Namba
    Namba is a major commercial and entertainment district in Osaka, Japan, known for its bustling nightlife, shopping, and iconic neon-lit streets.
  • 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_69e0b50c6a848190a4e525a77a319b8a completed April 16, 2026, 10:08 a.m.
NER Named-entity recognition batch_69e723fcdb7c8190ae04d6ad9dff3187 completed April 21, 2026, 7:15 a.m.
NED1 Entity disambiguation (via context triple) batch_6a096dc182708190b7311ae0d4bbf2d2 completed May 17, 2026, 7:26 a.m.
NEDg Description generation batch_6a096e6cce748190ba618dfe86f7f6ce completed May 17, 2026, 7:29 a.m.
NED2 Entity disambiguation (via description) batch_6a096f7706448190a1bb61535e0adcd3 completed May 17, 2026, 7:34 a.m.
Created at: April 16, 2026, 2:58 p.m.