Triple

T13561576
Position Surface form Disambiguated ID Type / Status
Subject Vladimir Arnold E323919 entity
Predicate notableWork P4 FINISHED
Object Topological Methods in Hydrodynamics
Topological Methods in Hydrodynamics is a seminal mathematical monograph by Vladimir Arnold that applies topological and geometric techniques to the study of fluid flows and hydrodynamic phenomena.
E1046817 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: Topological Methods in Hydrodynamics | Statement: [Vladimir Arnold, notableWork, Topological Methods in Hydrodynamics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Topological Methods in Hydrodynamics
Context triple: [Vladimir Arnold, notableWork, Topological Methods in Hydrodynamics]
  • A. Turbulence, Coherent Structures, Dynamical Systems and Symmetry
    "Turbulence, Coherent Structures, Dynamical Systems and Symmetry" is a scholarly work that applies dynamical systems theory and symmetry concepts to analyze and understand coherent structures in turbulent flows.
  • B. Kolmogorov spectrum of turbulence
    The Kolmogorov spectrum of turbulence is a fundamental theory in fluid dynamics that predicts how kinetic energy is distributed across different scales in fully developed turbulent flow, most famously yielding the −5/3 power law for the inertial subrange.
  • C. Dynamics of Nonhomogeneous Fluids
    Dynamics of Nonhomogeneous Fluids is a seminal scientific monograph by Chia-Shun Yih that develops the theoretical foundations of fluid motion in media with spatially varying density and related properties.
  • D. Perturbation Methods in Fluid Mechanics
    Perturbation Methods in Fluid Mechanics is a classic graduate-level text that systematically develops asymptotic and perturbation techniques for analyzing complex fluid flow problems.
  • E. Kraichnan model of passive scalar advection
    The Kraichnan model of passive scalar advection is a theoretical framework in turbulence that studies how a passively transported quantity (like temperature or pollutant concentration) evolves in a fluid flow modeled by a Gaussian, white-in-time random velocity field.
  • 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: Topological Methods in Hydrodynamics
Triple: [Vladimir Arnold, notableWork, Topological Methods in Hydrodynamics]
Generated description
Topological Methods in Hydrodynamics is a seminal mathematical monograph by Vladimir Arnold that applies topological and geometric techniques to the study of fluid flows and hydrodynamic phenomena.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Topological Methods in Hydrodynamics
Target entity description: Topological Methods in Hydrodynamics is a seminal mathematical monograph by Vladimir Arnold that applies topological and geometric techniques to the study of fluid flows and hydrodynamic phenomena.
  • A. Turbulence, Coherent Structures, Dynamical Systems and Symmetry
    "Turbulence, Coherent Structures, Dynamical Systems and Symmetry" is a scholarly work that applies dynamical systems theory and symmetry concepts to analyze and understand coherent structures in turbulent flows.
  • B. Kolmogorov spectrum of turbulence
    The Kolmogorov spectrum of turbulence is a fundamental theory in fluid dynamics that predicts how kinetic energy is distributed across different scales in fully developed turbulent flow, most famously yielding the −5/3 power law for the inertial subrange.
  • C. Dynamics of Nonhomogeneous Fluids
    Dynamics of Nonhomogeneous Fluids is a seminal scientific monograph by Chia-Shun Yih that develops the theoretical foundations of fluid motion in media with spatially varying density and related properties.
  • D. Perturbation Methods in Fluid Mechanics
    Perturbation Methods in Fluid Mechanics is a classic graduate-level text that systematically develops asymptotic and perturbation techniques for analyzing complex fluid flow problems.
  • E. Kraichnan model of passive scalar advection
    The Kraichnan model of passive scalar advection is a theoretical framework in turbulence that studies how a passively transported quantity (like temperature or pollutant concentration) evolves in a fluid flow modeled by a Gaussian, white-in-time random velocity field.
  • 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_69d8076830b48190910a902bae5888e2 completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69dbaff5219081909cf60423e79d278f completed April 12, 2026, 2:45 p.m.
NED1 Entity disambiguation (via context triple) batch_69f75dad601481908de5f266f01f3f49 completed May 3, 2026, 2:37 p.m.
NEDg Description generation batch_69f75f563cfc81909cde4c403ac10a58 completed May 3, 2026, 2:44 p.m.
NED2 Entity disambiguation (via description) batch_69f75fcbf9548190abd74bf4f4ae2e11 completed May 3, 2026, 2:46 p.m.
Created at: April 9, 2026, 9:47 p.m.