Triple

T12177364
Position Surface form Disambiguated ID Type / Status
Subject virial theorem E290121 entity
Predicate hasFormulation P3660 FINISHED
Object quantum mechanical virial theorem E290121 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: quantum mechanical virial theorem | Statement: [virial theorem, hasFormulation, quantum mechanical virial theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: quantum mechanical virial theorem
Context triple: [virial theorem, hasFormulation, quantum mechanical virial theorem]
  • A. virial theorem chosen
    The virial theorem is a fundamental result in mechanics and astrophysics that relates the average kinetic and potential energies of a bound system in equilibrium, widely used to study the stability and dynamics of stars, galaxies, and gas clouds.
  • B. 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.
  • C. 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.
  • D. 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.
  • E. 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.
  • 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_69d6ab4d6c00819095a9a7c35de83cfb completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d915fa6ff08190a1ddb3606c229cad completed April 10, 2026, 3:23 p.m.
NED1 Entity disambiguation (via context triple) batch_69f5f6ab19288190a882c842d74a2e30 completed May 2, 2026, 1:05 p.m.
Created at: April 8, 2026, 9:50 p.m.