Triple

T26971083
Position Surface form Disambiguated ID Type / Status
Subject Hopf fibration E679319 entity
Predicate isPrincipalBundleOver P175625 FINISHED
Object 2-sphere 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: 2-sphere | Statement: [Hopf fibration, isPrincipalBundleOver, 2-sphere]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isPrincipalBundleOver
Context triple: [Hopf fibration, isPrincipalBundleOver, 2-sphere]
  • A. isPrincipalRouteOf
    Indicates that one route serves as the main or primary route associated with another route or network.
  • 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. isBirationalTo
    Indicates that there exists a birational map between two algebraic varieties, meaning they are isomorphic outside lower-dimensional subsets and share the same function field.
  • D. isBiholomorphismOf
    Indicates that one complex-analytic map is a biholomorphic equivalence between two complex manifolds, i.e., a holomorphic bijection whose inverse is also holomorphic.
  • E. isComplexificationOf
    Indicates that one entity is a more complex or elaborated version derived from another, simpler 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_69eeeb507a7081909d516e1fa08b7d29 completed April 27, 2026, 4:51 a.m.
NER Named-entity recognition batch_69f6d74b20a48190900dda1014cc13a8 completed May 3, 2026, 5:04 a.m.
PD Predicate disambiguation batch_69f6d26ceb08819091c71c001e954936 completed May 3, 2026, 4:43 a.m.
PDg Predicate description generation batch_69f6d6a482fc8190b526291cd99b8696 completed May 3, 2026, 5:01 a.m.
Created at: April 27, 2026, 6:39 a.m.