Triple

T3771947
Position Surface form Disambiguated ID Type / Status
Subject Martin David Kruskal E83217 entity
Predicate notableWork P4 FINISHED
Object Korteweg–De Vries equation
The Korteweg–De Vries equation is a fundamental nonlinear partial differential equation that models shallow water waves and solitons, playing a central role in the theory of integrable systems.
E387064 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: Korteweg–De Vries equation | Statement: [Martin David Kruskal, notableWork, Korteweg–De Vries equation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Korteweg–De Vries equation
Context triple: [Martin David Kruskal, notableWork, Korteweg–De Vries equation]
  • A. Gross–Pitaevskii equation
    The Gross–Pitaevskii equation is a nonlinear Schrödinger-type equation that describes the macroscopic wavefunction and dynamics of weakly interacting Bose gases at ultra-cold temperatures.
  • B. Yang–Yang equation
    The Yang–Yang equation is a fundamental integral equation in statistical mechanics that describes the thermodynamic properties of one-dimensional interacting Bose gases within the Bethe ansatz framework.
  • C. Euler equations
    The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
  • D. Navier–Stokes equations
    The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
  • E. d’Alembert’s formula
    d’Alembert’s formula is a classical solution method for the one-dimensional wave equation that expresses the displacement of a vibrating string in terms of its initial shape and velocity.
  • 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: Korteweg–De Vries equation
Triple: [Martin David Kruskal, notableWork, Korteweg–De Vries equation]
Generated description
The Korteweg–De Vries equation is a fundamental nonlinear partial differential equation that models shallow water waves and solitons, playing a central role in the theory of integrable systems.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Korteweg–De Vries equation
Target entity description: The Korteweg–De Vries equation is a fundamental nonlinear partial differential equation that models shallow water waves and solitons, playing a central role in the theory of integrable systems.
  • A. Gross–Pitaevskii equation
    The Gross–Pitaevskii equation is a nonlinear Schrödinger-type equation that describes the macroscopic wavefunction and dynamics of weakly interacting Bose gases at ultra-cold temperatures.
  • B. Yang–Yang equation
    The Yang–Yang equation is a fundamental integral equation in statistical mechanics that describes the thermodynamic properties of one-dimensional interacting Bose gases within the Bethe ansatz framework.
  • C. Euler equations
    The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
  • D. Navier–Stokes equations
    The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
  • E. d’Alembert’s formula
    d’Alembert’s formula is a classical solution method for the one-dimensional wave equation that expresses the displacement of a vibrating string in terms of its initial shape and velocity.
  • 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_69ad8b235e608190b5a2b1d1bfcef50b completed March 8, 2026, 2:43 p.m.
NER Named-entity recognition batch_69adcc3219b881908a2f82126f9a679d completed March 8, 2026, 7:21 p.m.
NED1 Entity disambiguation (via context triple) batch_69b4e52bb2d08190b457dd517ff366d7 completed March 14, 2026, 4:33 a.m.
NEDg Description generation batch_69b4e99c942c819094e2228bd3dc3b30 completed March 14, 2026, 4:52 a.m.
NED2 Entity disambiguation (via description) batch_69b4ea201fe8819098ac5459c39b258c completed March 14, 2026, 4:54 a.m.
Created at: March 8, 2026, 3:36 p.m.