Triple

T2707263
Position Surface form Disambiguated ID Type / Status
Subject Jeans mass E59371 entity
Predicate relatedTo P37 FINISHED
Object virial theorem
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.
E290121 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: virial theorem | Statement: [Jeans mass, relatedTo, virial theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: virial theorem
Context triple: [Jeans mass, relatedTo, virial theorem]
  • A. Sackur–Tetrode equation
    The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
  • B. 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.
  • 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. Boltzmann equation
    The Boltzmann equation is a fundamental kinetic theory equation that describes the statistical behavior and time evolution of a dilute gas or particle distribution in phase space due to streaming and collisions.
  • E. equipartition theorem
    The equipartition theorem is a principle in classical statistical mechanics stating that, at thermal equilibrium, each independent quadratic degree of freedom of a system contributes an average energy of (1/2)kT.
  • 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: virial theorem
Triple: [Jeans mass, relatedTo, virial theorem]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: virial theorem
Target entity description: 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.
  • A. Sackur–Tetrode equation
    The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
  • B. 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.
  • 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. Boltzmann equation
    The Boltzmann equation is a fundamental kinetic theory equation that describes the statistical behavior and time evolution of a dilute gas or particle distribution in phase space due to streaming and collisions.
  • E. equipartition theorem
    The equipartition theorem is a principle in classical statistical mechanics stating that, at thermal equilibrium, each independent quadratic degree of freedom of a system contributes an average energy of (1/2)kT.
  • 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_69ab4ac66bc88190b9e4afa5fc843f72 completed March 6, 2026, 9:44 p.m.
NER Named-entity recognition batch_69abda725f24819090e8d936b3d2d5bc completed March 7, 2026, 7:57 a.m.
NED1 Entity disambiguation (via context triple) batch_69afaf7c22a4819096ff9effe9e0d77d completed March 10, 2026, 5:43 a.m.
NEDg Description generation batch_69afb039cdcc8190953368c1f6757503 completed March 10, 2026, 5:46 a.m.
NED2 Entity disambiguation (via description) batch_69afb0c27ee48190a319fd2fab02f755 completed March 10, 2026, 5:48 a.m.
Created at: March 6, 2026, 9:55 p.m.