Triple

T25677055
Position Surface form Disambiguated ID Type / Status
Subject GF(p^m) E643835 entity
Predicate polynomialRepresentation P81377 FINISHED
Object polynomials of degree < m over GF(p) 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: polynomials of degree < m over GF(p) | Statement: [GF(p^m), polynomialRepresentation, polynomials of degree < m over GF(p)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: polynomialRepresentation
Context triple: [GF(p^m), polynomialRepresentation, polynomials of degree < m over GF(p)]
  • A. minimalPolynomialOverR
    Indicates that one element is the minimal (monic) polynomial over the real numbers for which another element is a root, capturing the smallest-degree real-coefficient polynomial that annihilates it.
  • B. appliesToPolynomialsOf chosen
    Indicates that a rule, operation, or property is defined for and relevant to polynomials of a specified type or form.
  • C. hasAssociatedPolynomial
    Indicates that one entity is linked to another entity that serves as its associated polynomial, typically representing or characterizing some of its properties or behavior.
  • D. representationWithRespectTo
    Indicates a relationship in which one entity serves as a representation, depiction, or stand-in for another entity under a particular perspective, context, or interpretive framework.
  • E. minimalPolynomialOfAdjoinedElement
    Indicates the relation where a given polynomial is the minimal polynomial (over a specified base field or ring) of an element obtained by adjoining that element to the base structure.
  • F. None of above.

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_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_69f4807f8680819098a524158d049c63 completed May 1, 2026, 10:29 a.m.
Created at: April 21, 2026, 7:40 p.m.