Triple
T7287585
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Onsager algebra |
E163912
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Dolan–Grady relations
The Dolan–Grady relations are algebraic commutation relations between two operators that generate the Onsager algebra and play a key role in the study of exactly solvable models in statistical mechanics.
|
E653519
|
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: Dolan–Grady relations | Statement: [Onsager algebra, relatedTo, Dolan–Grady relations]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Dolan–Grady relations Context triple: [Onsager algebra, relatedTo, Dolan–Grady relations]
-
A.
Esaki–Tsu relation
The Esaki–Tsu relation is a fundamental formula in semiconductor physics that describes the nonlinear current–voltage characteristics and negative differential conductivity of electrons in superlattices under high electric fields.
-
B.
Goodman–Martínez–Thompson correlation
The Goodman–Martínez–Thompson correlation is the most widely accepted scholarly conversion formula that aligns dates in the ancient Maya Long Count calendar with the Gregorian calendar.
-
C.
Bhabha–Corben equations
The Bhabha–Corben equations are relativistic wave equations in quantum electrodynamics that describe the dynamics of spinning charged particles, developed by physicists Homi J. Bhabha and H. C. Corben.
-
D.
Kramers–Kronig relations
The Kramers–Kronig relations are fundamental mathematical formulas in physics that connect the real and imaginary parts of a complex response function, expressing how causality constrains the frequency-dependent behavior of physical systems.
-
E.
Goldberger–Treiman relation
The Goldberger–Treiman relation is a fundamental result in particle physics that links the strong pion–nucleon coupling constant to the axial-vector coupling of the nucleon and the pion decay constant, illuminating the role of chiral symmetry in low-energy hadron interactions.
- 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: Dolan–Grady relations Triple: [Onsager algebra, relatedTo, Dolan–Grady relations]
Generated description
The Dolan–Grady relations are algebraic commutation relations between two operators that generate the Onsager algebra and play a key role in the study of exactly solvable models in statistical mechanics.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Dolan–Grady relations Target entity description: The Dolan–Grady relations are algebraic commutation relations between two operators that generate the Onsager algebra and play a key role in the study of exactly solvable models in statistical mechanics.
-
A.
Esaki–Tsu relation
The Esaki–Tsu relation is a fundamental formula in semiconductor physics that describes the nonlinear current–voltage characteristics and negative differential conductivity of electrons in superlattices under high electric fields.
-
B.
Goodman–Martínez–Thompson correlation
The Goodman–Martínez–Thompson correlation is the most widely accepted scholarly conversion formula that aligns dates in the ancient Maya Long Count calendar with the Gregorian calendar.
-
C.
Bhabha–Corben equations
The Bhabha–Corben equations are relativistic wave equations in quantum electrodynamics that describe the dynamics of spinning charged particles, developed by physicists Homi J. Bhabha and H. C. Corben.
-
D.
Kramers–Kronig relations
The Kramers–Kronig relations are fundamental mathematical formulas in physics that connect the real and imaginary parts of a complex response function, expressing how causality constrains the frequency-dependent behavior of physical systems.
-
E.
Goldberger–Treiman relation
The Goldberger–Treiman relation is a fundamental result in particle physics that links the strong pion–nucleon coupling constant to the axial-vector coupling of the nucleon and the pion decay constant, illuminating the role of chiral symmetry in low-energy hadron interactions.
- 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_69c6886093b88190a254b1ce6db8bae7 |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6eb6a73fc8190ae5ce81fd3e46d87 |
completed | March 27, 2026, 8:41 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c7db42c8d48190a548c4242b07fb40 |
completed | March 28, 2026, 1:44 p.m. |
| NEDg | Description generation | batch_69c7dc794bec819094d848497bd11fc1 |
completed | March 28, 2026, 1:49 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69c7dd8117f881908c982c33b3f0e71a |
completed | March 28, 2026, 1:54 p.m. |
Created at: March 27, 2026, 2:59 p.m.