Triple

T26006769
Position Surface form Disambiguated ID Type / Status
Subject Euclidean algorithm for polynomials E646780 entity
Predicate extendedVariantUsedFor P161676 FINISHED
Object Chinese remainder theorem for polynomials NE NERFINISHED

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: Chinese remainder theorem for polynomials | Statement: [Euclidean algorithm for polynomials, extendedVariantUsedFor, Chinese remainder theorem for polynomials]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: extendedVariantUsedFor
Context triple: [Euclidean algorithm for polynomials, extendedVariantUsedFor, Chinese remainder theorem for polynomials]
  • A. extendedVariantUsedFor chosen
    Indicates that one entity is an extended or modified variant that is used in place of, or for the purposes of, another entity.
  • B. exportVariantOf
    Indicates that one entity is an exported version or externally released form derived from another, original entity.
  • C. usedInVariant
    Indicates that something (such as a component, feature, or element) is utilized or included within a particular variant or version of a larger entity.
  • D. rulesVariantOf
    Indicates that one set of rules is a modified or alternative version derived from another set of rules.
  • E. hasVariantUsage
    Indicates that an entity is used in an alternative or non-standard way compared to its primary or canonical usage.
  • 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_69e77e89d5848190b54352cdb74f6029 completed April 21, 2026, 1:41 p.m.
NER Named-entity recognition batch_69f621fcea1481909b6f8b3af1ee6820 completed May 2, 2026, 4:10 p.m.
PD Predicate disambiguation batch_69f620dc38088190b56b2b15ed75b3c2 completed May 2, 2026, 4:05 p.m.
Created at: April 22, 2026, 9 a.m.