Triple

T7287608
Position Surface form Disambiguated ID Type / Status
Subject Onsager algebra E163912 entity
Predicate hasDeformation P75397 FINISHED
Object q-Onsager algebra
The q-Onsager algebra is a quantum deformation of the Onsager algebra that plays a key role in the study of integrable systems and quantum groups.
E654981 NE FINISHED

How this triple was built (5 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: q-Onsager algebra | Statement: [Onsager algebra, hasDeformation, q-Onsager algebra]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: q-Onsager algebra
Context triple: [Onsager algebra, hasDeformation, q-Onsager algebra]
  • A. Onsager algebra
    The Onsager algebra is an infinite-dimensional Lie algebra introduced in the study of exactly solvable models in statistical mechanics, particularly the two-dimensional Ising model.
  • B. Askey–Wilson algebra
    The Askey–Wilson algebra is a quadratic algebra arising in the theory of orthogonal polynomials and quantum groups, closely linked to the Askey–Wilson polynomials and related integrable models.
  • C. Bethe ansatz
    The Bethe ansatz is a powerful method in theoretical physics for exactly solving certain one-dimensional quantum many-body systems by reducing them to algebraic equations for particle momenta.
  • D. Yang–Baxter equation
    The Yang–Baxter equation is a fundamental consistency condition in mathematical physics and integrable systems that underlies exactly solvable models, quantum groups, and braid group representations.
  • E. Schur–Weyl duality
    Schur–Weyl duality is a fundamental result in representation theory that links representations of the symmetric group and the general linear group via their commuting actions on tensor powers of a vector space.
  • 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: q-Onsager algebra
Triple: [Onsager algebra, hasDeformation, q-Onsager algebra]
Generated description
The q-Onsager algebra is a quantum deformation of the Onsager algebra that plays a key role in the study of integrable systems and quantum groups.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: q-Onsager algebra
Target entity description: The q-Onsager algebra is a quantum deformation of the Onsager algebra that plays a key role in the study of integrable systems and quantum groups.
  • A. Onsager algebra
    The Onsager algebra is an infinite-dimensional Lie algebra introduced in the study of exactly solvable models in statistical mechanics, particularly the two-dimensional Ising model.
  • B. Askey–Wilson algebra
    The Askey–Wilson algebra is a quadratic algebra arising in the theory of orthogonal polynomials and quantum groups, closely linked to the Askey–Wilson polynomials and related integrable models.
  • C. Bethe ansatz
    The Bethe ansatz is a powerful method in theoretical physics for exactly solving certain one-dimensional quantum many-body systems by reducing them to algebraic equations for particle momenta.
  • D. Yang–Baxter equation
    The Yang–Baxter equation is a fundamental consistency condition in mathematical physics and integrable systems that underlies exactly solvable models, quantum groups, and braid group representations.
  • E. Schur–Weyl duality
    Schur–Weyl duality is a fundamental result in representation theory that links representations of the symmetric group and the general linear group via their commuting actions on tensor powers of a vector space.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasDeformation
Context triple: [Onsager algebra, hasDeformation, q-Onsager algebra]
  • A. hasInternalDeformation
    Indicates that one entity exhibits structural distortion or change within its interior caused by stress, force, or other internal factors.
  • B. deformationFeatures
    Indicates the presence or characteristics of structural changes or distortions (such as folds, faults, or warps) affecting an object or material.
  • C. deformationStyle
    Indicates the manner or pattern in which an object or material is deformed under applied forces or conditions.
  • D. hasScar
    Indicates that one entity bears or possesses a scar on its body.
  • E. hasDam
    Indicates that a watercourse, reservoir, or similar feature is impounded or controlled by a specific dam.
  • F. None of above. chosen

Provenance (7 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_69c7e5368794819084e50bc87d8264de completed March 28, 2026, 2:27 p.m.
NEDg Description generation batch_69c7e628b9e0819099fef480ea58973d completed March 28, 2026, 2:31 p.m.
NED2 Entity disambiguation (via description) batch_69c7e7582ab08190827bb04465297c7c completed March 28, 2026, 2:36 p.m.
PD Predicate disambiguation batch_69c6e76c5fbc8190b378830082f11cb0 completed March 27, 2026, 8:24 p.m.
PDg Predicate description generation batch_69c6e82b0f9881909d29c99af1ea0dbf completed March 27, 2026, 8:27 p.m.
Created at: March 27, 2026, 2:59 p.m.