Triple

T15522148
Position Surface form Disambiguated ID Type / Status
Subject XXZ spin chain E368993 entity
Predicate isRelatedTo P37 FINISHED
Object six-vertex model
The six-vertex model is a fundamental exactly solvable lattice model in statistical mechanics that describes configurations of arrows on a square lattice under local ice-rule constraints and is deeply connected to integrable quantum spin chains.
E1161759 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: six-vertex model | Statement: [XXZ spin chain, isRelatedTo, six-vertex model]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: six-vertex model
Context triple: [XXZ spin chain, isRelatedTo, six-vertex model]
  • A. Potts model
    The Potts model is a generalization of the Ising model in statistical mechanics that describes interacting spins with more than two possible states, used to study phase transitions and critical phenomena.
  • B. Ising models
    Ising models are mathematical models in statistical mechanics that describe systems of interacting binary variables (spins) on a lattice, widely used to study phase transitions, magnetism, and as a foundation for various probabilistic and machine learning models.
  • C. XY model
    The XY model is a two-dimensional spin model in statistical mechanics and condensed matter physics where spins can rotate freely in a plane, used to study phase transitions and phenomena like the Kosterlitz–Thouless transition.
  • D. Heisenberg model
    The Heisenberg model is a fundamental theoretical framework in quantum mechanics and condensed matter physics that describes interacting spins on a lattice and underpins much of our understanding of magnetism in materials.
  • E. Kramers–Wannier duality in the Ising model
    Kramers–Wannier duality in the Ising model is a mathematical transformation that relates the high-temperature and low-temperature phases of the two-dimensional Ising model, revealing the location of its critical point and illustrating a deep symmetry between ordered and disordered states.
  • 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: six-vertex model
Triple: [XXZ spin chain, isRelatedTo, six-vertex model]
Generated description
The six-vertex model is a fundamental exactly solvable lattice model in statistical mechanics that describes configurations of arrows on a square lattice under local ice-rule constraints and is deeply connected to integrable quantum spin chains.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: six-vertex model
Target entity description: The six-vertex model is a fundamental exactly solvable lattice model in statistical mechanics that describes configurations of arrows on a square lattice under local ice-rule constraints and is deeply connected to integrable quantum spin chains.
  • A. Potts model
    The Potts model is a generalization of the Ising model in statistical mechanics that describes interacting spins with more than two possible states, used to study phase transitions and critical phenomena.
  • B. Ising models
    Ising models are mathematical models in statistical mechanics that describe systems of interacting binary variables (spins) on a lattice, widely used to study phase transitions, magnetism, and as a foundation for various probabilistic and machine learning models.
  • C. XY model
    The XY model is a two-dimensional spin model in statistical mechanics and condensed matter physics where spins can rotate freely in a plane, used to study phase transitions and phenomena like the Kosterlitz–Thouless transition.
  • D. Heisenberg model
    The Heisenberg model is a fundamental theoretical framework in quantum mechanics and condensed matter physics that describes interacting spins on a lattice and underpins much of our understanding of magnetism in materials.
  • E. Kramers–Wannier duality in the Ising model
    Kramers–Wannier duality in the Ising model is a mathematical transformation that relates the high-temperature and low-temperature phases of the two-dimensional Ising model, revealing the location of its critical point and illustrating a deep symmetry between ordered and disordered states.
  • 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_69d85a1794cc8190b0b428716296e63e completed April 10, 2026, 2:01 a.m.
NER Named-entity recognition batch_69e0403543188190abac49d2b9decb89 completed April 16, 2026, 1:49 a.m.
NED1 Entity disambiguation (via context triple) batch_69ff3d54ea5c8190b3b220ad10ba8f40 completed May 9, 2026, 1:57 p.m.
NEDg Description generation batch_69ff3e5643088190a9b001ef815ddd3a completed May 9, 2026, 2:01 p.m.
NED2 Entity disambiguation (via description) batch_69ff3f4456f88190b7fc9b853b0155e4 completed May 9, 2026, 2:05 p.m.
Created at: April 10, 2026, 4:04 a.m.