Triple

T18426566
Position Surface form Disambiguated ID Type / Status
Subject XY model E450153 entity
Predicate belongsToClass P1244 FINISHED
Object O(N) models
O(N) models are a class of statistical and field-theoretic models with N-component vector spins possessing continuous O(N) rotational symmetry, widely used to study phase transitions and critical phenomena.
E450153 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: O(N) models | Statement: [XY model, belongsToClass, O(N) models]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: O(N) models
Context triple: [XY model, belongsToClass, O(N) models]
  • A. Nambu–Jona-Lasinio model
    The Nambu–Jona-Lasinio model is a theoretical framework in quantum field theory that illustrates spontaneous chiral symmetry breaking and mass generation for fermions, analogous to mechanisms in superconductivity.
  • B. Polyakov–Nambu–Jona-Lasinio model
    The Polyakov–Nambu–Jona-Lasinio model is an effective quantum field theory that extends the Nambu–Jona-Lasinio model by coupling quarks to the Polyakov loop to study chiral symmetry breaking and confinement in QCD-like systems.
  • 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. Dolgov–Kawasaki stability condition in viable models
    The Dolgov–Kawasaki stability condition in viable models is a theoretical requirement in modified gravity ensuring that f(R) theories avoid tachyonic instabilities by demanding a positive second derivative of the gravitational action with respect to the Ricci scalar.
  • E. Aizenman–Barsky method for phase transitions
    The Aizenman–Barsky method for phase transitions is a probabilistic technique in statistical mechanics used to rigorously analyze and prove properties of phase transitions, particularly in percolation and related lattice models.
  • 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: O(N) models
Triple: [XY model, belongsToClass, O(N) models]
Generated description
O(N) models are a class of statistical and field-theoretic models with N-component vector spins possessing continuous O(N) rotational symmetry, widely used to study phase transitions and critical phenomena.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: O(N) models
Target entity description: O(N) models are a class of statistical and field-theoretic models with N-component vector spins possessing continuous O(N) rotational symmetry, widely used to study phase transitions and critical phenomena.
  • A. Nambu–Jona-Lasinio model
    The Nambu–Jona-Lasinio model is a theoretical framework in quantum field theory that illustrates spontaneous chiral symmetry breaking and mass generation for fermions, analogous to mechanisms in superconductivity.
  • B. Polyakov–Nambu–Jona-Lasinio model
    The Polyakov–Nambu–Jona-Lasinio model is an effective quantum field theory that extends the Nambu–Jona-Lasinio model by coupling quarks to the Polyakov loop to study chiral symmetry breaking and confinement in QCD-like systems.
  • C. XY model chosen
    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. Dolgov–Kawasaki stability condition in viable models
    The Dolgov–Kawasaki stability condition in viable models is a theoretical requirement in modified gravity ensuring that f(R) theories avoid tachyonic instabilities by demanding a positive second derivative of the gravitational action with respect to the Ricci scalar.
  • E. Aizenman–Barsky method for phase transitions
    The Aizenman–Barsky method for phase transitions is a probabilistic technique in statistical mechanics used to rigorously analyze and prove properties of phase transitions, particularly in percolation and related lattice models.
  • F. None of above.

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_69d8d381d6388190a9e94e9c658174e4 completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e51b13ee88819091e7e007d17dcc73 completed April 19, 2026, 6:12 p.m.
NED1 Entity disambiguation (via context triple) batch_6a03f0ab8760819093e1132b91030b79 completed May 13, 2026, 3:31 a.m.
NEDg Description generation batch_6a03f24c7e248190a3330f339c0caded completed May 13, 2026, 3:38 a.m.
NED2 Entity disambiguation (via description) batch_6a03f2d8703881909b78c2377d9bb542 completed May 13, 2026, 3:41 a.m.
Created at: April 10, 2026, 11:24 a.m.