Triple

T1483842
Position Surface form Disambiguated ID Type / Status
Subject automorphism group of the Leech lattice E29418 entity
Predicate containsSubgroup P10571 FINISHED
Object Conway group Co3 E29418 NE 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: Conway group Co3 | Statement: [automorphism group of the Leech lattice, containsSubgroup, Conway group Co3]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Conway group Co3
Context triple: [automorphism group of the Leech lattice, containsSubgroup, Conway group Co3]
  • 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. 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.
  • E. Alexander–Briggs notation
    Alexander–Briggs notation is a classical system for naming and classifying knots in knot theory, assigning each distinct knot a unique label based on its crossing number and order in knot tables.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69a498da82e08190ba833330d05f380f completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c9e02c188190b87c0aac939eafdd completed March 1, 2026, 11:21 p.m.
NED1 Entity disambiguation (via context triple) batch_69ad36ffd8808190894f2139ae12204e completed March 8, 2026, 8:44 a.m.
Created at: March 1, 2026, 8:12 p.m.