Triple

T34585678
Position Surface form Disambiguated ID Type / Status
Subject S^2 × R geometry E888036 entity
Predicate hasCanonicalProjection P95390 FINISHED
Object projection to S^2 factor 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: projection to S^2 factor | Statement: [S^2 × R geometry, hasCanonicalProjection, projection to S^2 factor]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasCanonicalProjection
Context triple: [S^2 × R geometry, hasCanonicalProjection, projection to S^2 factor]
  • A. hasCanonicalMapFrom chosen
    Indicates that there exists a standard or uniquely determined structure-preserving map from one entity to another.
  • B. hasCanonicalRepresentation
    Indicates that one entity is the standard or authoritative form in which another entity is represented.
  • C. hasCanonicalReference
    Indicates that one entity serves as the authoritative or standard reference source for another entity.
  • D. hasCanonicalAspect
    Indicates that an entity is associated with its standard or officially recognized aspect, form, or representation.
  • E. hasAnticanonicalEmbedding
    Indicates that a variety or geometric object is embedded into projective space via its anticanonical line bundle (i.e., by the complete linear system of the anticanonical divisor).
  • 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_69f349d25cbc8190869998de5915886b completed April 30, 2026, 12:23 p.m.
NER Named-entity recognition batch_69ff6ef0d61c81909162d37c15a1a3c3 completed May 9, 2026, 5:29 p.m.
PD Predicate disambiguation batch_69ff6c6a58e08190921317062cd9d489 completed May 9, 2026, 5:18 p.m.
Created at: May 1, 2026, 2:03 a.m.