Triple

T11215039
Position Surface form Disambiguated ID Type / Status
Subject Dehn twist E265413 entity
Predicate appearsIn P795 FINISHED
Object Lickorish’s generating set for mapping class groups E665086 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: Lickorish’s generating set for mapping class groups | Statement: [Dehn twist, appearsIn, Lickorish’s generating set for mapping class groups]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Lickorish’s generating set for mapping class groups
Context triple: [Dehn twist, appearsIn, Lickorish’s generating set for mapping class groups]
  • A. “Braids, Links, and Mapping Class Groups”
    “Braids, Links, and Mapping Class Groups” is a foundational monograph in low-dimensional topology that systematically develops the theory of braids, links, and mapping class groups and their interrelations.
  • B. Lickorish chosen
    Lickorish is a mathematician known for his influential contributions to low-dimensional topology and knot theory.
  • C. Wirtinger presentation of knot groups
    The Wirtinger presentation of knot groups is a classical method in knot theory that describes the fundamental group of a knot complement using generators and relations derived from a knot diagram.
  • D. Dehn’s decision problems in group theory
    Dehn’s decision problems in group theory are foundational early 20th-century problems that introduced algorithmic questions about the solvability of word, conjugacy, and isomorphism problems in finitely presented groups, helping launch the field of algorithmic group theory.
  • E. Culler–Vogtmann Outer space
    Culler–Vogtmann Outer space is a topological space that parametrizes marked metric graphs, serving as an analogue of Teichmüller space for studying the outer automorphism group of a free group.
  • 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_69d6aac59460819089b9848b27f57848 completed April 8, 2026, 7:21 p.m.
NER Named-entity recognition batch_69d7e8e8eef48190932a85784ce15c86 completed April 9, 2026, 5:59 p.m.
NED1 Entity disambiguation (via context triple) batch_69e49762e3188190ba3c0e01cf04f6a1 completed April 19, 2026, 8:50 a.m.
Created at: April 8, 2026, 9:30 p.m.