Triple

T13051232
Position Surface form Disambiguated ID Type / Status
Subject Arthur Schuster E327451 entity
Predicate knownFor P22 FINISHED
Object Schuster–Schwarzschild theorem
The Schuster–Schwarzschild theorem is a fundamental result in astrophysics that describes radiative transfer and the formation of spectral lines in stellar atmospheres under conditions of radiative equilibrium.
E1018069 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: Schuster–Schwarzschild theorem | Statement: [Arthur Schuster, knownFor, Schuster–Schwarzschild theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schuster–Schwarzschild theorem
Context triple: [Arthur Schuster, knownFor, Schuster–Schwarzschild theorem]
  • A. Schwarzschild–Milne equations
    The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
  • B. Schwarzschild criterion
    The Schwarzschild criterion is a condition in astrophysics that determines when a star’s interior becomes convectively unstable, leading to energy transport by bulk motion of stellar material.
  • C. Schwarzschild
    Schwarzschild is a German surname most famously associated with physicist Karl Schwarzschild, known for his exact solution to Einstein’s field equations describing black holes.
  • D. 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.
  • E. Chandrasekhar–Friedman–Schutz instability
    The Chandrasekhar–Friedman–Schutz instability is a gravitational-radiation-driven instability in rotating stars that can cause certain oscillation modes to grow by emitting gravitational waves.
  • 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: Schuster–Schwarzschild theorem
Triple: [Arthur Schuster, knownFor, Schuster–Schwarzschild theorem]
Generated description
The Schuster–Schwarzschild theorem is a fundamental result in astrophysics that describes radiative transfer and the formation of spectral lines in stellar atmospheres under conditions of radiative equilibrium.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Schuster–Schwarzschild theorem
Target entity description: The Schuster–Schwarzschild theorem is a fundamental result in astrophysics that describes radiative transfer and the formation of spectral lines in stellar atmospheres under conditions of radiative equilibrium.
  • A. Schwarzschild–Milne equations
    The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
  • B. Schwarzschild criterion
    The Schwarzschild criterion is a condition in astrophysics that determines when a star’s interior becomes convectively unstable, leading to energy transport by bulk motion of stellar material.
  • C. Schwarzschild
    Schwarzschild is a German surname most famously associated with physicist Karl Schwarzschild, known for his exact solution to Einstein’s field equations describing black holes.
  • D. 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.
  • E. Chandrasekhar–Friedman–Schutz instability
    The Chandrasekhar–Friedman–Schutz instability is a gravitational-radiation-driven instability in rotating stars that can cause certain oscillation modes to grow by emitting gravitational waves.
  • 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_69d8076e64308190904fb5c93517c901 completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69d980b98fa081908cfa92116799e874 completed April 10, 2026, 10:59 p.m.
NED1 Entity disambiguation (via context triple) batch_69f6cbda9b548190a10a4835b2c75fdc completed May 3, 2026, 4:15 a.m.
NEDg Description generation batch_69f6cd0e88e08190a07468336bb624f0 completed May 3, 2026, 4:20 a.m.
NED2 Entity disambiguation (via description) batch_69f6ce2c7630819091433543dfdf8402 completed May 3, 2026, 4:25 a.m.
Created at: April 9, 2026, 8:57 p.m.