Triple

T16991602
Position Surface form Disambiguated ID Type / Status
Subject Regular Polytopes E412205 entity
Predicate uses P98 FINISHED
Object Coxeter–Dynkin diagrams E412212 NE FINISHED

How this triple was built (2 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: [Regular Polytopes, uses, Coxeter–Dynkin diagrams]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Coxeter–Dynkin diagrams
Context triple: [Regular Polytopes, uses, Coxeter–Dynkin diagrams]
  • A. Coxeter–Dynkin diagrams chosen
    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.
  • B. Cayley graph
    A Cayley graph is a graphical representation of a group where vertices correspond to group elements and edges represent multiplication by chosen generators, widely used in group theory and geometric group theory.
  • C. Young diagrams
    Young diagrams are combinatorial diagrams consisting of left-justified rows of boxes that visually represent integer partitions and play a central role in the representation theory of symmetric and general linear groups.
  • D. Regular Polytopes
    "Regular Polytopes" is a classic mathematical monograph by H. S. M. Coxeter that systematically develops the theory and classification of highly symmetric polytopes in various dimensions.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d886cb581c8190ab05f4b429c9cd85 completed April 10, 2026, 5:12 a.m.
NER Named-entity recognition batch_69e3d280e3348190a27bd5dc7cf87c0e completed April 18, 2026, 6:50 p.m.
NED1 Entity disambiguation (via context triple) batch_6a00dc14d5688190945f7ae72f724922 completed May 10, 2026, 7:27 p.m.
Created at: April 10, 2026, 5:32 a.m.