Triple

T22329083
Position Surface form Disambiguated ID Type / Status
Subject de Rham cohomology E551975 entity
Predicate kthGroupDefinition P82728 FINISHED
Object kernel of d:Ω^k→Ω^{k+1} modulo image of d:Ω^{k-1}→Ω^k 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: kernel of d:Ω^k→Ω^{k+1} modulo image of d:Ω^{k-1}→Ω^k | Statement: [de Rham cohomology, kthGroupDefinition, kernel of d:Ω^k→Ω^{k+1} modulo image of d:Ω^{k-1}→Ω^k]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: kthGroupDefinition
Context triple: [de Rham cohomology, kthGroupDefinition, kernel of d:Ω^k→Ω^{k+1} modulo image of d:Ω^{k-1}→Ω^k]
  • A. describedGroup
    Indicates that an entity provides a description or characterization of a particular group or collection of entities.
  • B. identifiesGroup
    Indicates that one entity serves to recognize, label, or distinguish another entity as belonging to a particular group or category.
  • C. isKinematicalGroupOf
    Indicates that one entity is the kinematical symmetry group governing the possible motions or transformations of another entity or system.
  • D. groupingType
    Indicates how multiple entities are categorized or clustered together based on a shared grouping criterion.
  • E. coreDefinition chosen
    Indicates the fundamental, central meaning or essence that defines something at its most basic level.
  • 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_69e11e482f788190b78d1588fc26d606 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f1576ab52c819087563cd778d6bc5e completed April 29, 2026, 12:57 a.m.
PD Predicate disambiguation batch_69e73004d9e88190bb862319a5aea06b completed April 21, 2026, 8:06 a.m.
Created at: April 16, 2026, 8:43 p.m.