Triple

T17020479
Position Surface form Disambiguated ID Type / Status
Subject Littlewood–Paley theory E412933 entity
Predicate usedFor P98 FINISHED
Object Navier–Stokes equations E5106 NE 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: Navier–Stokes equations | Statement: [Littlewood–Paley theory, usedFor, Navier–Stokes equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Navier–Stokes equations
Context triple: [Littlewood–Paley theory, usedFor, Navier–Stokes equations]
  • A. Navier–Stokes equations chosen
    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.
  • B. Euler equations
    The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
  • C. Navier–Cauchy equations
    The Navier–Cauchy equations are the fundamental partial differential equations in linear elasticity that describe how stresses and displacements are related within deformable solid materials.
  • D. Stokes flow
    Stokes flow is a type of fluid motion dominated by viscous forces and characterized by very low Reynolds numbers, where inertial effects are negligible.
  • E. Navier–Stokes existence and smoothness problem
    The Navier–Stokes existence and smoothness problem is a fundamental unsolved question in mathematical fluid dynamics that asks whether three-dimensional fluid flow equations always have smooth, globally defined solutions.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d886cc4170819093deddc7b8b4b6a7 completed April 10, 2026, 5:12 a.m.
NER Named-entity recognition batch_69e3d482c3a0819099e6ea4acb0a08ee completed April 18, 2026, 6:59 p.m.
NED1 Entity disambiguation (via context triple) batch_6a011b4f9dfc819085639edb5cda1cca completed May 10, 2026, 11:57 p.m.
Created at: April 10, 2026, 5:33 a.m.