Triple

T26254502
Position Surface form Disambiguated ID Type / Status
Subject Janko group J4 E656681 entity
Predicate minimalFaithfulPermutationDegreeApprox P77138 FINISHED
Object 1.7×10^8 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: 1.7×10^8 | Statement: [Janko group J4, minimalFaithfulPermutationDegreeApprox, 1.7×10^8]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: minimalFaithfulPermutationDegreeApprox
Context triple: [Janko group J4, minimalFaithfulPermutationDegreeApprox, 1.7×10^8]
  • A. minimalFaithfulPermutationDegree chosen
    Indicates the smallest degree (number of points) of a permutation representation on which a group can act faithfully (injectively) via permutations.
  • 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. minimalFaithfulLinearRepresentationDegree
    Indicates the smallest dimension of a faithful linear representation needed to represent the given structure as linear transformations on a vector space.
  • D. degreeOfNaturalPermutationRepresentation
    Indicates the degree (dimension) of the natural permutation representation associated with a given permutation action or group.
  • E. 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.
  • 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_69ee5b4d25ac819086acb51184602576 completed April 26, 2026, 6:37 p.m.
NER Named-entity recognition batch_69f61f12b0f08190bc4a16907941864c completed May 2, 2026, 3:58 p.m.
PD Predicate disambiguation batch_69f61b3a8ae0819090189fbd8eb19f2f completed May 2, 2026, 3:41 p.m.
Created at: April 26, 2026, 9:08 p.m.