Triple

T8490717
Position Surface form Disambiguated ID Type / Status
Subject Paul Ehrenfest E200960 entity
Predicate notableWork P4 FINISHED
Object Ehrenfest theorem
The Ehrenfest theorem is a fundamental result in quantum mechanics that links the time evolution of expectation values of quantum observables to the corresponding classical equations of motion, thereby bridging quantum and classical physics.
E735839 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 theorem | Statement: [Paul Ehrenfest, notableWork, Ehrenfest theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Ehrenfest theorem
Context triple: [Paul Ehrenfest, notableWork, Ehrenfest theorem]
  • A. Liouville–von Neumann equation
    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. Feynman–Hellmann theorem
    The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
  • C. Schrödinger equation
    The Schrödinger equation is the fundamental equation of non-relativistic quantum mechanics that governs how the quantum state of a physical system evolves over time.
  • D. 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.
  • E. H-theorem
    The H-theorem is Boltzmann’s foundational result in statistical mechanics that explains the irreversible increase of entropy in a gas from time-reversible microscopic dynamics, providing a key link between mechanics and the second law of thermodynamics.
  • 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 theorem
Triple: [Paul Ehrenfest, notableWork, Ehrenfest theorem]
Generated description
The Ehrenfest theorem is a fundamental result in quantum mechanics that links the time evolution of expectation values of quantum observables to the corresponding classical equations of motion, thereby bridging quantum and classical physics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Ehrenfest theorem
Target entity description: The Ehrenfest theorem is a fundamental result in quantum mechanics that links the time evolution of expectation values of quantum observables to the corresponding classical equations of motion, thereby bridging quantum and classical physics.
  • A. Liouville–von Neumann equation
    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. Feynman–Hellmann theorem
    The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
  • C. Schrödinger equation
    The Schrödinger equation is the fundamental equation of non-relativistic quantum mechanics that governs how the quantum state of a physical system evolves over time.
  • D. 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.
  • E. H-theorem
    The H-theorem is Boltzmann’s foundational result in statistical mechanics that explains the irreversible increase of entropy in a gas from time-reversible microscopic dynamics, providing a key link between mechanics and the second law of thermodynamics.
  • 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.