Triple

T26131203
Position Surface form Disambiguated ID Type / Status
Subject Harada–Norton group E659250 entity
Predicate hasPermutationRepresentationDegree P97228 FINISHED
Object various large degrees LITERAL 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: various large degrees | Statement: [Harada–Norton group, hasPermutationRepresentationDegree, various large degrees]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasPermutationRepresentationDegree
Context triple: [Harada–Norton group, hasPermutationRepresentationDegree, various large degrees]
  • A. degreeOfNaturalPermutationRepresentation chosen
    Indicates the degree (dimension) of the natural permutation representation associated with a given permutation action or group.
  • B. hasMinimalFaithfulPermutationDegree
    Indicates that there exists a faithful permutation representation of the given structure whose degree (the size of the set it acts on) is minimal among all such faithful permutation representations.
  • C. minimalFaithfulPermutationDegree
    Indicates the smallest degree (number of points) of a permutation representation on which a group can act faithfully (injectively) via permutations.
  • D. hasMinimalFaithfulPermutationRepresentation
    Indicates that there exists a faithful permutation representation of the structure (e.g., a group acting on a set) whose degree is minimal among all such faithful permutation representations.
  • E. hasMinimalFaithfulComplexRepresentationDegree
    Indicates the smallest dimension in which a faithful (injective) complex linear representation of the given object exists.
  • F. None of above.

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_69ee5bc3c20c8190bf2cf272f4170e95 completed April 26, 2026, 6:38 p.m.
NER Named-entity recognition batch_69f6aaf50be08190a2b62a6d881f8aee completed May 3, 2026, 1:55 a.m.
PD Predicate disambiguation batch_69f6aa1c555081908787dbf76147f180 completed May 3, 2026, 1:51 a.m.
Created at: April 26, 2026, 8:15 p.m.