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.