Triple

T33579763
Position Surface form Disambiguated ID Type / Status
Subject Picard group E860119 entity
Predicate projectiveLineExample P176922 FINISHED
Object Pic(P^1_k) ≅ Z 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^1_k) ≅ Z | Statement: [Picard group, projectiveLineExample, Pic(P^1_k) ≅ Z]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: projectiveLineExample
Context triple: [Picard group, projectiveLineExample, Pic(P^1_k) ≅ Z]
  • A. lineExample
    Indicates that one entity serves as an illustrative or representative example of a particular line, sequence, or linear construct associated with another entity.
  • B. parallelLineCountInEllipticGeometry
    Indicates the number of distinct lines through a given point that are parallel to a specified line within an elliptic (non-Euclidean) geometric space.
  • C. relationshipWithColline
    Indicates a relationship or association that one entity has with another entity named or identified as Colline.
  • D. lineExtendedTo
    Indicates that one line is formed by extending another line beyond its original endpoint.
  • E. 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.
  • 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_69f6f8164698819090c1b471f1caa4c6 completed May 3, 2026, 7:24 a.m.
PD Predicate disambiguation batch_69f6f6632dfc8190af85e258c8519207 completed May 3, 2026, 7:16 a.m.
PDg Predicate description generation batch_69f6f70b0ca081908b24a98937e6ef66 completed May 3, 2026, 7:19 a.m.
Created at: May 1, 2026, 1:40 a.m.