Triple

T15961489
Position Surface form Disambiguated ID Type / Status
Subject Robert Miura E387069 entity
Predicate notableWork P4 FINISHED
Object Miura transformation
The Miura transformation is a mathematical mapping that links solutions of the Korteweg–de Vries (KdV) equation to those of the modified KdV equation, playing a key role in the theory of integrable systems.
E1187025 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: Miura transformation | Statement: [Robert Miura, notableWork, Miura transformation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Miura transformation
Context triple: [Robert Miura, notableWork, Miura transformation]
  • A. Schwarz–Christoffel mapping
    The Schwarz–Christoffel mapping is a conformal transformation that maps the upper half-plane (or unit disk) onto polygonal regions, playing a central role in complex analysis and applications such as fluid dynamics and electrostatics.
  • B. Smale’s paradox
    Smale’s paradox is a result in differential topology showing that a sphere can be turned inside out in three-dimensional space through smooth deformations without tearing or creasing, challenging intuitive notions of geometry.
  • C. Gale transform
    The Gale transform is a construction in convex geometry and combinatorics that represents a finite point configuration or polytope in a dual space, often used to study their structural and combinatorial properties.
  • D. Engineer Garin’s Hyperboloid
    Engineer Garin’s Hyperboloid is a Soviet science fiction novel by Alexei Tolstoy that explores the destructive potential of a powerful new weapon and the moral corruption it unleashes.
  • E. Planos em superfície modulada
    Planos em superfície modulada is a seminal geometric-abstract artwork by Brazilian artist Willys de Castro, associated with the Concrete and Neo-Concrete art movements and known for exploring spatial perception through modulated planar surfaces.
  • 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: Miura transformation
Triple: [Robert Miura, notableWork, Miura transformation]
Generated description
The Miura transformation is a mathematical mapping that links solutions of the Korteweg–de Vries (KdV) equation to those of the modified KdV equation, playing a key role in the theory of integrable systems.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Miura transformation
Target entity description: The Miura transformation is a mathematical mapping that links solutions of the Korteweg–de Vries (KdV) equation to those of the modified KdV equation, playing a key role in the theory of integrable systems.
  • A. Schwarz–Christoffel mapping
    The Schwarz–Christoffel mapping is a conformal transformation that maps the upper half-plane (or unit disk) onto polygonal regions, playing a central role in complex analysis and applications such as fluid dynamics and electrostatics.
  • B. Smale’s paradox
    Smale’s paradox is a result in differential topology showing that a sphere can be turned inside out in three-dimensional space through smooth deformations without tearing or creasing, challenging intuitive notions of geometry.
  • C. Gale transform
    The Gale transform is a construction in convex geometry and combinatorics that represents a finite point configuration or polytope in a dual space, often used to study their structural and combinatorial properties.
  • D. Engineer Garin’s Hyperboloid
    Engineer Garin’s Hyperboloid is a Soviet science fiction novel by Alexei Tolstoy that explores the destructive potential of a powerful new weapon and the moral corruption it unleashes.
  • E. Planos em superfície modulada
    Planos em superfície modulada is a seminal geometric-abstract artwork by Brazilian artist Willys de Castro, associated with the Concrete and Neo-Concrete art movements and known for exploring spatial perception through modulated planar surfaces.
  • 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_69d86da882448190a82ea962fe343b79 completed April 10, 2026, 3:25 a.m.
NER Named-entity recognition batch_69e15700651c819091c1cc4f60894c35 completed April 16, 2026, 9:39 p.m.
NED1 Entity disambiguation (via context triple) batch_69ffbe827d248190adbfd41f55638ebd completed May 9, 2026, 11:08 p.m.
NEDg Description generation batch_69ffbffcbd748190a666eca28cf44ad5 completed May 9, 2026, 11:15 p.m.
NED2 Entity disambiguation (via description) batch_69ffc09df25481908674f306b0f96f95 completed May 9, 2026, 11:17 p.m.
Created at: April 10, 2026, 4:53 a.m.