Triple

T4105494
Position Surface form Disambiguated ID Type / Status
Subject H. S. M. Coxeter E88439 entity
Predicate knownFor P22 FINISHED
Object Coxeter–Dynkin diagrams
Coxeter–Dynkin diagrams are graphical representations that encode the structure of reflection groups and root systems, widely used in the classification of regular polytopes, Lie algebras, and symmetries.
E412212 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: Coxeter–Dynkin diagrams | Statement: [H. S. M. Coxeter, knownFor, Coxeter–Dynkin diagrams]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Coxeter–Dynkin diagrams
Context triple: [H. S. M. Coxeter, knownFor, Coxeter–Dynkin diagrams]
  • A. Penrose graphical notation
    Penrose graphical notation is a diagrammatic method for representing and manipulating tensors using networks of shapes and lines, widely used in mathematics and theoretical physics.
  • B. Alexander–Briggs notation
    Alexander–Briggs notation is a classical system for naming and classifying knots in knot theory, assigning each distinct knot a unique label based on its crossing number and order in knot tables.
  • C. Conway groups
    Conway groups are a set of three closely related sporadic simple groups discovered by John H. Conway in the study of symmetries of the Leech lattice in group theory.
  • D. Hasse diagram (in lattice theory)
    A Hasse diagram is a simplified graphical representation of a finite partially ordered set that shows the order relations by connecting elements with upward lines without drawing implied transitive relations.
  • E. Polytopes
    Polytopes are large-scale multimedia architectural and musical installations created by Iannis Xenakis that combine sound, light, and spatial design into immersive, mathematically structured environments.
  • 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: Coxeter–Dynkin diagrams
Triple: [H. S. M. Coxeter, knownFor, Coxeter–Dynkin diagrams]
Generated description
Coxeter–Dynkin diagrams are graphical representations that encode the structure of reflection groups and root systems, widely used in the classification of regular polytopes, Lie algebras, and symmetries.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Coxeter–Dynkin diagrams
Target entity description: Coxeter–Dynkin diagrams are graphical representations that encode the structure of reflection groups and root systems, widely used in the classification of regular polytopes, Lie algebras, and symmetries.
  • A. Penrose graphical notation
    Penrose graphical notation is a diagrammatic method for representing and manipulating tensors using networks of shapes and lines, widely used in mathematics and theoretical physics.
  • B. Alexander–Briggs notation
    Alexander–Briggs notation is a classical system for naming and classifying knots in knot theory, assigning each distinct knot a unique label based on its crossing number and order in knot tables.
  • C. Conway groups
    Conway groups are a set of three closely related sporadic simple groups discovered by John H. Conway in the study of symmetries of the Leech lattice in group theory.
  • D. Hasse diagram (in lattice theory)
    A Hasse diagram is a simplified graphical representation of a finite partially ordered set that shows the order relations by connecting elements with upward lines without drawing implied transitive relations.
  • E. Polytopes
    Polytopes are large-scale multimedia architectural and musical installations created by Iannis Xenakis that combine sound, light, and spatial design into immersive, mathematically structured environments.
  • 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_69aed9484fb881909146f4c772ad277c completed March 9, 2026, 2:29 p.m.
NER Named-entity recognition batch_69af019af25481909e9f1d171356f3e8 completed March 9, 2026, 5:21 p.m.
NED1 Entity disambiguation (via context triple) batch_69b56b7f88948190b87242e706a488c0 completed March 14, 2026, 2:06 p.m.
NEDg Description generation batch_69b56c0a3b1c81908ae4c630c6881c1c completed March 14, 2026, 2:09 p.m.
NED2 Entity disambiguation (via description) batch_69b56c94df3481908d2f4a3976fb775b completed March 14, 2026, 2:11 p.m.
Created at: March 9, 2026, 3:40 p.m.