Triple

T33579764
Position Surface form Disambiguated ID Type / Status
Subject Picard group E860119 entity
Predicate projectiveSpaceExample P177435 FINISHED
Object Pic(P^n_k) ≅ Z for n ≥ 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: Pic(P^n_k) ≅ Z for n ≥ 1 | Statement: [Picard group, projectiveSpaceExample, Pic(P^n_k) ≅ Z for n ≥ 1]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: projectiveSpaceExample
Context triple: [Picard group, projectiveSpaceExample, Pic(P^n_k) ≅ Z for n ≥ 1]
  • A. projectiveLineExample
    Indicates a relationship where an instance serves as an illustrative or canonical example of a projective line in a given mathematical or geometric context.
  • B. isProjectiveRepresentationOf
    Indicates that one mathematical object represents another up to multiplication by scalar factors, preserving structure only up to a projective (rather than strictly linear) equivalence.
  • C. isProjective
    Indicates that one entity is a projection or projected form of another, typically preserving certain structural or relational properties under a mapping or transformation.
  • D. onAffineSpace
    Indicates that one geometric object or structure lies within or is defined over a specified affine space.
  • E. affineExample
    Indicates that one entity serves as a representative or illustrative instance of an affine relationship or affine transformation involving 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_69f3497d37848190afcbb5ef3f5c7376 completed April 30, 2026, 12:22 p.m.
NER Named-entity recognition batch_69f6fb93224881908fc66fe76115fcdb completed May 3, 2026, 7:38 a.m.
PD Predicate disambiguation batch_69f6f96badb08190994442c2aba840b1 completed May 3, 2026, 7:29 a.m.
PDg Predicate description generation batch_69f6fb17d5ec81909091e37e1ddbe577 completed May 3, 2026, 7:36 a.m.
Created at: May 1, 2026, 1:40 a.m.