Triple

T5538215
Position Surface form Disambiguated ID Type / Status
Subject Tolman surface brightness test E145218 entity
Predicate relatedTo P37 FINISHED
Object Etherington reciprocity theorem
The Etherington reciprocity theorem is a fundamental result in relativistic cosmology that links luminosity distance and angular diameter distance, underpinning observational tests of the expanding universe.
E528109 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: Etherington reciprocity theorem | Statement: [Tolman surface brightness test, relatedTo, Etherington reciprocity theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Etherington reciprocity theorem
Context triple: [Tolman surface brightness test, relatedTo, Etherington reciprocity theorem]
  • A. Poynting theorem
    The Poynting theorem is a fundamental principle in electromagnetism that expresses the conservation of electromagnetic energy by relating the flow of energy, energy density, and work done on charges.
  • B. Kirchhoff diffraction theory
    Kirchhoff diffraction theory is a classical wave optics framework that models light propagation and diffraction by treating wavefronts as superpositions of secondary spherical waves emitted from an aperture.
  • C. Huygens–Fresnel principle
    The Huygens–Fresnel principle is a fundamental concept in wave optics that explains how every point on a wavefront acts as a source of secondary wavelets whose interference determines the wave’s subsequent propagation and diffraction.
  • D. Poynting vector
    The Poynting vector is a fundamental quantity in electromagnetism that represents the directional energy flux (power per unit area) carried by an electromagnetic field.
  • E. The Fourier Integral and Certain of Its Applications
    The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
  • 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: Etherington reciprocity theorem
Triple: [Tolman surface brightness test, relatedTo, Etherington reciprocity theorem]
Generated description
The Etherington reciprocity theorem is a fundamental result in relativistic cosmology that links luminosity distance and angular diameter distance, underpinning observational tests of the expanding universe.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Etherington reciprocity theorem
Target entity description: The Etherington reciprocity theorem is a fundamental result in relativistic cosmology that links luminosity distance and angular diameter distance, underpinning observational tests of the expanding universe.
  • A. Poynting theorem
    The Poynting theorem is a fundamental principle in electromagnetism that expresses the conservation of electromagnetic energy by relating the flow of energy, energy density, and work done on charges.
  • B. Kirchhoff diffraction theory
    Kirchhoff diffraction theory is a classical wave optics framework that models light propagation and diffraction by treating wavefronts as superpositions of secondary spherical waves emitted from an aperture.
  • C. Huygens–Fresnel principle
    The Huygens–Fresnel principle is a fundamental concept in wave optics that explains how every point on a wavefront acts as a source of secondary wavelets whose interference determines the wave’s subsequent propagation and diffraction.
  • D. Poynting vector
    The Poynting vector is a fundamental quantity in electromagnetism that represents the directional energy flux (power per unit area) carried by an electromagnetic field.
  • E. The Fourier Integral and Certain of Its Applications
    The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
  • 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_69c008fa64888190adae56c8f9ea4031 completed March 22, 2026, 3:21 p.m.
NER Named-entity recognition batch_69c01fb2fe488190808e02ce5aabb2ad completed March 22, 2026, 4:58 p.m.
NED1 Entity disambiguation (via context triple) batch_69c02817cb04819088df72950c791144 completed March 22, 2026, 5:34 p.m.
NEDg Description generation batch_69c033df2c7881909660eb931908318c completed March 22, 2026, 6:24 p.m.
NED2 Entity disambiguation (via description) batch_69c034640cd081909b44ff23e9005e57 completed March 22, 2026, 6:26 p.m.
Created at: March 22, 2026, 3:34 p.m.