Triple

T36469104
Position Surface form Disambiguated ID Type / Status
Subject Koebe function E898494 entity
Predicate extremalFamily P185552 FINISHED
Object {e^{-i\theta} k(e^{i\theta} z) : \theta \in \mathbb{R}} — 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: {e^{-i\theta} k(e^{i\theta} z) : \theta \in \mathbb{R}} | Statement: [Koebe function, extremalFamily, {e^{-i\theta} k(e^{i\theta} z) : \theta \in \mathbb{R}}]
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: extremalFamily
Context triple: [Koebe function, extremalFamily, {e^{-i\theta} k(e^{i\theta} z) : \theta \in \mathbb{R}}]
  • A. typicalExtremalFamily
    Indicates that a given family of objects (such as sets or structures) exemplifies the standard or characteristic configuration that achieves an extremal bound in a particular combinatorial or optimization problem.
  • B. extremalFunction
    Indicates that a function attains an extreme value (such as a minimum or maximum) under given conditions or over a specified domain.
  • C. extremalCase
    Indicates a relationship where a situation, value, or configuration represents the most extreme or boundary case within a given set, range, or conditions.
  • D. isExtremal
    Indicates that an entity represents an extreme (such as a maximum, minimum, or boundary) within a given set, structure, or ordering.
  • E. isExtremalWhen
    Indicates that a given entity or configuration attains an extreme value (such as a maximum or minimum) of some specified quantity or property under certain conditions.
  • 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_69f76e58ebd88190b75d9b169b59d793 completed May 3, 2026, 3:48 p.m.
NER Named-entity recognition batch_69f7be9d07ac8190adf796cbef60daf6 completed May 3, 2026, 9:31 p.m.
PD Predicate disambiguation batch_69f7bccf05bc8190b61fdb2b2a315811 completed May 3, 2026, 9:23 p.m.
PDg Predicate description generation batch_69f7be9b9ab481908328e0e8d8ac73d4 completed May 3, 2026, 9:31 p.m.
Created at: May 3, 2026, 4:10 p.m.