Triple

T26254298

Position	Surface form	Disambiguated ID	Type / Status
Subject	Fischer group Fi24′	`E656677`	entity
Predicate	hasCentralizerOfInvolutionStructure	`P166609`	FINISHED
Object	2·Fi22 2·Fi22 is a double cover of the sporadic simple Fischer group Fi22, arising as a central extension by a cyclic group of order 2.	`E1714373`	NE FINISHED

How this triple was built (3 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: 2·Fi22 | Statement: [Fischer group Fi24′, hasCentralizerOfInvolutionStructure, 2·Fi22]

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: 2·Fi22
Triple: [Fischer group Fi24′, hasCentralizerOfInvolutionStructure, 2·Fi22]

Generated description

2·Fi22 is a double cover of the sporadic simple Fischer group Fi22, arising as a central extension by a cyclic group of order 2.

PD Predicate disambiguation gpt-5-mini-2025-08-07

Target predicate: hasCentralizerOfInvolutionStructure
Context triple: [Fischer group Fi24′, hasCentralizerOfInvolutionStructure, 2·Fi22]

A. hasCentralizerInMonster
Indicates that one entity serves as the centralizer (the set of elements commuting with it) of another entity within the Monster group.
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. 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.
D. hasAutomorphismGroupContaining
Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
E. isAutomorphismGroupOf
Indicates that a group is the full automorphism group consisting of all structure-preserving bijections (automorphisms) of a given mathematical object.
F. None of above. chosen

Provenance (7 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_69ee5b4d25ac819086acb51184602576`	completed	April 26, 2026, 6:37 p.m.
NER	Named-entity recognition	`batch_69f662a29b3881909957a7e3b986653c`	completed	May 2, 2026, 8:46 p.m.
NED1	Entity disambiguation (via context triple)	`batch_6a1185aaa938819094c6a7f051289d3d`	completed	May 23, 2026, 10:47 a.m.
NEDg	Description generation	`batch_6a11862050608190bf26431a0fb90b07`	completed	May 23, 2026, 10:49 a.m.
NED2	Entity disambiguation (via description)	`batch_6a1186bd48e48190a397267a101ef076`	completed	May 23, 2026, 10:51 a.m.
PD	Predicate disambiguation	`batch_69f660eea4648190b0d5e24293607813`	completed	May 2, 2026, 8:39 p.m.
PDg	Predicate description generation	`batch_69f661b47d088190934f63884a203261`	completed	May 2, 2026, 8:42 p.m.

Created at: April 26, 2026, 9:08 p.m.