Triple

T1483840
Position Surface form Disambiguated ID Type / Status
Subject automorphism group of the Leech lattice E29418 entity
Predicate containsSubgroup P10571 FINISHED
Object Conway group Co1 E29418 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: Conway group Co1 | Statement: [automorphism group of the Leech lattice, containsSubgroup, Conway group Co1]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Conway group Co1
Context triple: [automorphism group of the Leech lattice, containsSubgroup, Conway group Co1]
  • A. Conway groups chosen
    Conway groups are a set of three closely related sporadic simple groups discovered by John H. Conway in the study of symmetries of the Leech lattice in group theory.
  • B. Conway–Norton collaboration
    The Conway–Norton collaboration was a joint mathematical effort, led by John Conway and Simon Norton, that played a key role in developing the theory of monstrous moonshine and the construction of the Monster group.
  • C. Conway sphere
    The Conway sphere is a mathematical construct in knot theory used to decompose knots and links into simpler tangles, named after mathematician John Horton Conway.
  • D. Leech lattice
    The Leech lattice is a highly symmetric 24-dimensional lattice in Euclidean space, notable for its dense sphere packing and deep connections to sporadic simple groups and modular forms.
  • E. Weyl group
    A Weyl group is a finite reflection group associated with a root system that encodes the symmetries of Lie algebras and Lie groups in representation theory and geometry.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: containsSubgroup
Context triple: [automorphism group of the Leech lattice, containsSubgroup, Conway group Co1]
  • A. containsGroup chosen
    Indicates that one entity includes or encompasses a specific group of entities within it.
  • B. hasSubcommunityIn
    Indicates that a larger community contains or encompasses a smaller, distinct subcommunity located within it.
  • C. hasSubset
    Indicates that one set is entirely contained within another set, with all elements of the first set also belonging to the second.
  • D. isSubnetworkOf
    Indicates that one network is a contained, subordinate, or component part of another, larger network.
  • E. hasSubfieldGroup
    Indicates that an entity includes or is associated with a specific subgroup of related subfields within its overall structure or domain.
  • F. None of above.

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_69a498da82e08190ba833330d05f380f completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c679714c8190ac53630fb49e19c5 completed March 1, 2026, 11:06 p.m.
NED1 Entity disambiguation (via context triple) batch_69ad2940a44c8190967a62781cca0306 completed March 8, 2026, 7:46 a.m.
PD Predicate disambiguation batch_69a4c486eacc81909c272f9bdf50a7c3 completed March 1, 2026, 10:58 p.m.
Created at: March 1, 2026, 8:12 p.m.