Triple

T20509508
Position Surface form Disambiguated ID Type / Status
Subject Heisenberg Lie algebra E503521 entity
Predicate hasLowerCentralSeriesLength P140359 FINISHED
Object 2 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: 2 | Statement: [Heisenberg Lie algebra, hasLowerCentralSeriesLength, 2]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasLowerCentralSeriesLength
Context triple: [Heisenberg Lie algebra, hasLowerCentralSeriesLength, 2]
  • A. hasLowerCentralSeries
    Indicates that a group is equipped with (or satisfies the existence of) a lower central series, i.e., a descending sequence of normal subgroups where each term is the commutator of the previous term with the whole group.
  • B. hasMaximalSubgroupOrder
    Indicates that the subgroup in question has the greatest possible order (size) among all proper subgroups of the given group.
  • C. hasTrivialAbelianization
    Indicates that the group’s abelianization is trivial, meaning its commutator subgroup is the whole group and it has no nontrivial abelian quotient.
  • D. hasTrivialCenter
    Indicates that the group’s center consists only of the identity element, meaning it has no nontrivial elements that commute with all others.
  • E. hasAbelianization
    Indicates that one algebraic structure is related to the abelian group obtained by quotienting it by its commutator subgroup (its abelianization).
  • F. None of above. chosen

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_69e0b4b1e52c8190894281cf7e3283ab completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e69dc9de788190882ce471966ef2b4 completed April 20, 2026, 9:42 p.m.
PD Predicate disambiguation batch_69e59fdb7ad88190924176c32a195db3 completed April 20, 2026, 3:39 a.m.
PDg Predicate description generation batch_69e5a6a824748190bbe6192d73f3c613 completed April 20, 2026, 4:08 a.m.
Created at: April 16, 2026, 11:36 a.m.