Triple

T25677034
Position Surface form Disambiguated ID Type / Status
Subject GF(p^m) E643835 entity
Predicate multiplicativeGroupOrder P159793 FINISHED
Object p^m - 1 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: p^m - 1 | Statement: [GF(p^m), multiplicativeGroupOrder, p^m - 1]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: multiplicativeGroupOrder
Context triple: [GF(p^m), multiplicativeGroupOrder, p^m - 1]
  • A. multiplicativeGroup
    Indicates that the entities stand in a group-theoretic relationship under multiplication, where one serves as the multiplicative group (with an associative operation, identity, inverses, and closure) in which the other is considered.
  • B. multiplicativeGroupInterpretation
    Indicates that one entity is interpreted as a multiplicative group structure associated with another entity, typically specifying how elements and multiplication are represented or realized.
  • C. automorphismGroupOrder
    Indicates the size of the group of all structure-preserving bijections (automorphisms) of an object under composition.
  • D. hasElementOfOrder
    Indicates that a structure (such as a group) contains an element whose order (the smallest positive integer n such that the element raised to the n-th power is the identity) equals a specified value.
  • E. hasPrimeDivisorsOfOrder
    Indicates that one entity possesses prime divisors whose multiplicities (orders in its factorization) satisfy a specified relational condition with respect to another entity.
  • 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_69e77e7f69808190ad27df1006f6037a completed April 21, 2026, 1:41 p.m.
NER Named-entity recognition batch_69f5fb3712cc8190b6e851960cc7c9e9 completed May 2, 2026, 1:25 p.m.
PD Predicate disambiguation batch_69f5afec3e94819080d9ba86cf8c866e completed May 2, 2026, 8:03 a.m.
PDg Predicate description generation batch_69f5f6b32a8881909baa0db57b80d56a completed May 2, 2026, 1:05 p.m.
Created at: April 21, 2026, 7:40 p.m.