Triple

T7743576
Position Surface form Disambiguated ID Type / Status
Subject Navier–Stokes existence and smoothness problem E175568 entity
Predicate concerns P1256 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: [Navier–Stokes existence and smoothness problem, concerns, Navier–Stokes equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Navier–Stokes equations
Context triple: [Navier–Stokes existence and smoothness problem, concerns, 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. 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.
  • D. 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.
  • E. An Introduction to Fluid Dynamics
    An Introduction to Fluid Dynamics is a classic graduate-level textbook that rigorously develops the theoretical foundations of fluid mechanics and has become a standard reference in the field.
  • 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_69c6995f9c60819092e386192bd63c6f completed March 27, 2026, 2:51 p.m.
NER Named-entity recognition batch_69c70388d58081909aad2c03b4501e78 completed March 27, 2026, 10:24 p.m.
NED1 Entity disambiguation (via context triple) batch_69c8d6b95f108190a726bf4c6d77bb62 completed March 29, 2026, 7:37 a.m.
Created at: March 27, 2026, 4:07 p.m.