Triple

T2683240
Position Surface form Disambiguated ID Type / Status
Subject Bianchi identities E57422 entity
Predicate relatesTo P37 FINISHED
Object Bianchi classification
Bianchi classification is a scheme in general relativity that categorizes three-dimensional Lie algebras (and corresponding homogeneous cosmological models) into distinct types based on their symmetry properties.
E287411 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: Bianchi classification | Statement: [Bianchi identities, relatesTo, Bianchi classification]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bianchi classification
Context triple: [Bianchi identities, relatesTo, Bianchi classification]
  • A. Eightfold Way classification
    The Eightfold Way classification is a theoretical framework in particle physics that organizes hadrons into symmetry-based groups, laying groundwork for the quark model.
  • B. Clebsch
    Clebsch is a German surname most notably associated with mathematician Alfred Clebsch, known for his contributions to algebraic geometry and invariant theory.
  • C. Betti
    Betti is a German diminutive given name, commonly used as a short form of Bettina.
  • D. Erlangen Program
    The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
  • E. Klein quartic
    The Klein quartic is a highly symmetric algebraic curve of genus 3 that plays a central role in complex geometry, group theory, and the study of Riemann surfaces.
  • 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: Bianchi classification
Triple: [Bianchi identities, relatesTo, Bianchi classification]
Generated description
Bianchi classification is a scheme in general relativity that categorizes three-dimensional Lie algebras (and corresponding homogeneous cosmological models) into distinct types based on their symmetry properties.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Bianchi classification
Target entity description: Bianchi classification is a scheme in general relativity that categorizes three-dimensional Lie algebras (and corresponding homogeneous cosmological models) into distinct types based on their symmetry properties.
  • A. Eightfold Way classification
    The Eightfold Way classification is a theoretical framework in particle physics that organizes hadrons into symmetry-based groups, laying groundwork for the quark model.
  • B. Clebsch
    Clebsch is a German surname most notably associated with mathematician Alfred Clebsch, known for his contributions to algebraic geometry and invariant theory.
  • C. Betti
    Betti is a German diminutive given name, commonly used as a short form of Bettina.
  • D. Erlangen Program
    The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
  • E. Klein quartic
    The Klein quartic is a highly symmetric algebraic curve of genus 3 that plays a central role in complex geometry, group theory, and the study of Riemann surfaces.
  • 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_69ab4a5028388190a36f3baf1588309e completed March 6, 2026, 9:42 p.m.
NER Named-entity recognition batch_69abd9d7692c81909d8fd9ce3817161b completed March 7, 2026, 7:55 a.m.
NED1 Entity disambiguation (via context triple) batch_69afa06c7a908190ae3463bf3e204fa6 completed March 10, 2026, 4:39 a.m.
NEDg Description generation batch_69afa1196aac81909b25557dff5acf5e completed March 10, 2026, 4:42 a.m.
NED2 Entity disambiguation (via description) batch_69afa1a7d9b48190a8b14a7d209e1f26 completed March 10, 2026, 4:44 a.m.
Created at: March 6, 2026, 9:54 p.m.