Triple

T25602516
Position Surface form Disambiguated ID Type / Status
Subject GF(p) E641824 entity
Predicate hasNoZeroDivisors P180762 FINISHED
Object true 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: true | Statement: [GF(p), hasNoZeroDivisors, true]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasNoZeroDivisors
Context triple: [GF(p), hasNoZeroDivisors, true]
  • A. hasZeroDivisors
    Indicates that within a given algebraic structure, there exist nonzero elements whose product is zero, i.e., the structure contains zero divisors.
  • B. isIntegralDomain
    Indicates that a given ring is an integral domain, meaning it is commutative with identity and has no zero divisors.
  • C. hasUniqueFactorizationOfElementsUpToUnits
    Indicates that every element in the structure can be factored into irreducible elements in a way that is unique up to multiplication by units (invertible elements) and reordering.
  • D. isIntegrallyClosed
    Indicates that a ring (or similar algebraic structure) contains all elements of its field of fractions that are integral over it, i.e., it has no proper integral extension within its field of fractions.
  • E. isDedekindDomain
    Indicates that a ring is a Dedekind domain, meaning it is a Noetherian, integrally closed integral domain of Krull dimension one in which every nonzero ideal factors uniquely into prime ideals.
  • 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_69e75dc6ccf081908d49578fd36a76d5 completed April 21, 2026, 11:21 a.m.
NER Named-entity recognition batch_69f7516d5b4081908588a6feb541f355 completed May 3, 2026, 1:45 p.m.
PD Predicate disambiguation batch_69f74d40ebb081909daf60623e38f41d completed May 3, 2026, 1:27 p.m.
PDg Predicate description generation batch_69f7516c538481908c6e55cf76add098 completed May 3, 2026, 1:45 p.m.
Created at: April 21, 2026, 4:36 p.m.