Triple

T26131188
Position Surface form Disambiguated ID Type / Status
Subject Harada–Norton group E659250 entity
Predicate hasCentralizerInMonster P166142 FINISHED
Object involution centralizer 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: involution centralizer | Statement: [Harada–Norton group, hasCentralizerInMonster, involution centralizer]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasCentralizerInMonster
Context triple: [Harada–Norton group, hasCentralizerInMonster, involution centralizer]
  • A. isCenterNontrivial
    Indicates that the center of a given algebraic structure (such as a group or ring) is not trivial, i.e., contains elements other than the identity.
  • B. hasTrivialCenter
    Indicates that the group’s center consists only of the identity element, meaning it has no nontrivial elements that commute with all others.
  • C. hasAutomorphismGroupContaining
    Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
  • D. isSelfCentralizingIn
    Indicates that an entity is equal to its own centralizer within a larger structure, meaning all elements that commute with it are contained in it.
  • E. isMaximalSymmetryGroupOf
    Indicates that a group represents the largest possible symmetry group for a given object or structure, such that no strictly larger symmetry group of that object exists containing it.
  • F. None of above. chosen

Provenance (4 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_69f66003a3f48190a2ba6da5aafbb5cb completed May 2, 2026, 8:35 p.m.
PD Predicate disambiguation batch_69f65c1f94ac8190bc6fbc7916fc0d82 completed May 2, 2026, 8:18 p.m.
PDg Predicate description generation batch_69f65f75ac608190a62cd6afce14f68e completed May 2, 2026, 8:32 p.m.
Created at: April 26, 2026, 8:15 p.m.