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.