Triple

T12177228
Position Surface form Disambiguated ID Type / Status
Subject Tolman–Oppenheimer–Volkoff equation E290118 entity
Predicate generalizationOf P2372 FINISHED
Object Newtonian hydrostatic equilibrium equation
The Newtonian hydrostatic equilibrium equation is the classical relation in stellar structure that balances the inward pull of gravity with the outward pressure gradient in a spherically symmetric, non-relativistic fluid.
E966302 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: Newtonian hydrostatic equilibrium equation | Statement: [Tolman–Oppenheimer–Volkoff equation, generalizationOf, Newtonian hydrostatic equilibrium equation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Newtonian hydrostatic equilibrium equation
Context triple: [Tolman–Oppenheimer–Volkoff equation, generalizationOf, Newtonian hydrostatic equilibrium equation]
  • A. Maclaurin spheroid
    A Maclaurin spheroid is an oblate, rotationally symmetric ellipsoidal figure used in astrophysics and geophysics to model the equilibrium shape of a uniformly rotating, self-gravitating fluid body.
  • B. Roche–Riemann ellipsoids
    Roche–Riemann ellipsoids are a family of rotating, self-gravitating fluid equilibrium figures in astrophysics and celestial mechanics that generalize classical ellipsoidal solutions like the Jacobi ellipsoid.
  • C. Tolman–Oppenheimer–Volkoff equation
    The Tolman–Oppenheimer–Volkoff equation is the general relativistic equation of hydrostatic equilibrium that describes the internal structure and pressure balance of spherically symmetric, non-rotating stars such as neutron stars.
  • D. Chandrasekhar’s theory of ellipsoidal figures of equilibrium
    Chandrasekhar’s theory of ellipsoidal figures of equilibrium is a foundational mathematical framework in astrophysics that analyzes the shapes, stability, and rotational properties of self-gravitating fluid masses modeled as ellipsoids.
  • E. Bonnor–Ebert mass
    The Bonnor–Ebert mass is the maximum mass a pressure-confined, self-gravitating gas sphere can have while remaining in stable hydrostatic equilibrium before collapsing under its own gravity.
  • 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: Newtonian hydrostatic equilibrium equation
Triple: [Tolman–Oppenheimer–Volkoff equation, generalizationOf, Newtonian hydrostatic equilibrium equation]
Generated description
The Newtonian hydrostatic equilibrium equation is the classical relation in stellar structure that balances the inward pull of gravity with the outward pressure gradient in a spherically symmetric, non-relativistic fluid.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Newtonian hydrostatic equilibrium equation
Target entity description: The Newtonian hydrostatic equilibrium equation is the classical relation in stellar structure that balances the inward pull of gravity with the outward pressure gradient in a spherically symmetric, non-relativistic fluid.
  • A. Maclaurin spheroid
    A Maclaurin spheroid is an oblate, rotationally symmetric ellipsoidal figure used in astrophysics and geophysics to model the equilibrium shape of a uniformly rotating, self-gravitating fluid body.
  • B. Roche–Riemann ellipsoids
    Roche–Riemann ellipsoids are a family of rotating, self-gravitating fluid equilibrium figures in astrophysics and celestial mechanics that generalize classical ellipsoidal solutions like the Jacobi ellipsoid.
  • C. Tolman–Oppenheimer–Volkoff equation
    The Tolman–Oppenheimer–Volkoff equation is the general relativistic equation of hydrostatic equilibrium that describes the internal structure and pressure balance of spherically symmetric, non-rotating stars such as neutron stars.
  • D. Chandrasekhar’s theory of ellipsoidal figures of equilibrium
    Chandrasekhar’s theory of ellipsoidal figures of equilibrium is a foundational mathematical framework in astrophysics that analyzes the shapes, stability, and rotational properties of self-gravitating fluid masses modeled as ellipsoids.
  • E. Bonnor–Ebert mass
    The Bonnor–Ebert mass is the maximum mass a pressure-confined, self-gravitating gas sphere can have while remaining in stable hydrostatic equilibrium before collapsing under its own gravity.
  • 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_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.
NEDg Description generation batch_69f600b7385881909ddb86a1d39ff5d4 completed May 2, 2026, 1:48 p.m.
NED2 Entity disambiguation (via description) batch_69f601ef0a9c8190ac922562a8856def completed May 2, 2026, 1:53 p.m.
Created at: April 8, 2026, 9:50 p.m.