Triple

T9756389
Position Surface form Disambiguated ID Type / Status
Subject Vlasov equation E236563 entity
Predicate relatedTo P37 FINISHED
Object Liouville equation E645944 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: Liouville equation | Statement: [Vlasov equation, relatedTo, Liouville equation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Liouville equation
Context triple: [Vlasov equation, relatedTo, Liouville equation]
  • A. Liouville–von Neumann equation chosen
    The Liouville–von Neumann equation is the fundamental quantum-mechanical evolution equation governing the time dependence of the density operator, generalizing the Schrödinger equation to mixed states and open-system dynamics.
  • B. Fokker–Planck equation
    The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
  • C. Ehrenfest equations
    The Ehrenfest equations are relations in thermodynamics that describe how phase transition properties change with pressure and temperature, particularly for second-order phase transitions.
  • D. Laplace equation
    The Laplace equation is a fundamental second-order partial differential equation widely used in physics and engineering to describe steady-state phenomena such as electrostatics, gravitation, and heat conduction.
  • E. 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.
  • 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_69ca84d4eddc8190996fec1417d2bae8 completed March 30, 2026, 2:12 p.m.
NER Named-entity recognition batch_69cd9fb2889481908fba4a449d5007fe completed April 1, 2026, 10:44 p.m.
NED1 Entity disambiguation (via context triple) batch_69d1b02ff0f4819080410d4e7e809a24 completed April 5, 2026, 12:43 a.m.
Created at: March 30, 2026, 8:24 p.m.