Triple

T21145315
Position Surface form Disambiguated ID Type / Status
Subject Kobayashi metric E521038 entity
Predicate isDistanceDecreasingUnderHolomorphicMaps P143043 FINISHED
Object true LITERAL FINISHED

How this triple was built (2 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: true | Statement: [Kobayashi metric, isDistanceDecreasingUnderHolomorphicMaps, true]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isDistanceDecreasingUnderHolomorphicMaps
Context triple: [Kobayashi metric, isDistanceDecreasingUnderHolomorphicMaps, true]
  • A. isHolomorphicallyContractible
    Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
  • B. isHolomorphicOn
    Indicates that a complex-valued function is complex differentiable at every point of a specified domain, i.e., holomorphic throughout that region.
  • C. canBeAnalyticallyContinuedTo
    Indicates that one mathematical object (typically a function) can be extended beyond its original domain in a consistent, analytic way that preserves its defining properties.
  • D. worldsheetConformalInvariance
    Indicates that a string theory configuration preserves conformal invariance on the worldsheet, meaning the worldsheet dynamics are invariant under local angle-preserving (conformal) transformations.
  • E. hasBelyiMap
    Indicates that there exists a Belyi map associated with, or defined on, the given mathematical object (typically a curve or surface).
  • F. None of above. chosen

Provenance (4 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.
PD Predicate disambiguation batch_69e5f5f8a5bc819081918c7fa8e4496d completed April 20, 2026, 9:46 a.m.
PDg Predicate description generation batch_69e5f993240c8190847c0b08e65726c8 completed April 20, 2026, 10:01 a.m.
Created at: April 16, 2026, 2:58 p.m.