Triple

T8490718
Position Surface form Disambiguated ID Type / Status
Subject Paul Ehrenfest E200960 entity
Predicate notableWork P4 FINISHED
Object Ehrenfest model
The Ehrenfest model is a classic probabilistic model in statistical mechanics that illustrates the approach to equilibrium and fluctuations in a gas by tracking particles randomly moving between two containers.
E735840 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: Ehrenfest model | Statement: [Paul Ehrenfest, notableWork, Ehrenfest model]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Ehrenfest model
Context triple: [Paul Ehrenfest, notableWork, Ehrenfest model]
  • A. Kac ring model
    The Kac ring model is a simplified mathematical model in statistical mechanics introduced by Mark Kac to illustrate how macroscopic irreversibility can emerge from time-reversible microscopic dynamics.
  • B. Boltzmann–Kac equation
    The Boltzmann–Kac equation is a kinetic equation in statistical mechanics that models the evolution of the velocity distribution of particles in a gas, providing a probabilistic framework related to the classical Boltzmann equation.
  • C. 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.
  • D. de Bruijn–van Aardenne–Ehrenfest theorem
    The de Bruijn–van Aardenne–Ehrenfest theorem is a fundamental result in combinatorics that characterizes the number of Eulerian circuits in directed graphs, particularly de Bruijn graphs, and underpins constructions in coding theory and discrete mathematics.
  • E. Chapman–Kolmogorov equation
    The Chapman–Kolmogorov equation is a fundamental relation in the theory of stochastic processes that expresses how transition probabilities of a Markov process over longer time intervals can be obtained by integrating over intermediate states.
  • 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: Ehrenfest model
Triple: [Paul Ehrenfest, notableWork, Ehrenfest model]
Generated description
The Ehrenfest model is a classic probabilistic model in statistical mechanics that illustrates the approach to equilibrium and fluctuations in a gas by tracking particles randomly moving between two containers.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Ehrenfest model
Target entity description: The Ehrenfest model is a classic probabilistic model in statistical mechanics that illustrates the approach to equilibrium and fluctuations in a gas by tracking particles randomly moving between two containers.
  • A. Kac ring model
    The Kac ring model is a simplified mathematical model in statistical mechanics introduced by Mark Kac to illustrate how macroscopic irreversibility can emerge from time-reversible microscopic dynamics.
  • B. Boltzmann–Kac equation
    The Boltzmann–Kac equation is a kinetic equation in statistical mechanics that models the evolution of the velocity distribution of particles in a gas, providing a probabilistic framework related to the classical Boltzmann equation.
  • C. 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.
  • D. de Bruijn–van Aardenne–Ehrenfest theorem
    The de Bruijn–van Aardenne–Ehrenfest theorem is a fundamental result in combinatorics that characterizes the number of Eulerian circuits in directed graphs, particularly de Bruijn graphs, and underpins constructions in coding theory and discrete mathematics.
  • E. Chapman–Kolmogorov equation
    The Chapman–Kolmogorov equation is a fundamental relation in the theory of stochastic processes that expresses how transition probabilities of a Markov process over longer time intervals can be obtained by integrating over intermediate states.
  • 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_69ca831d7b148190a6e32c1de43ab13b completed March 30, 2026, 2:05 p.m.
NER Named-entity recognition batch_69cbe55af3f48190a8cd64cdce0ebd4c completed March 31, 2026, 3:16 p.m.
NED1 Entity disambiguation (via context triple) batch_69ce3a54c3888190b11b7e9909abe518 completed April 2, 2026, 9:43 a.m.
NEDg Description generation batch_69ce3b2015748190abc70b25c36aa819 completed April 2, 2026, 9:47 a.m.
NED2 Entity disambiguation (via description) batch_69ce3c1042e48190a0f340e771cdd00a completed April 2, 2026, 9:51 a.m.
Created at: March 30, 2026, 6:13 p.m.