Triple

T26971097
Position Surface form Disambiguated ID Type / Status
Subject Hopf fibration E679319 entity
Predicate hasHopfInvariant P177300 FINISHED
Object 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: 1 | Statement: [Hopf fibration, hasHopfInvariant, 1]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasHopfInvariant
Context triple: [Hopf fibration, hasHopfInvariant, 1]
  • A. hasHomotopyGroup
    Indicates that one topological space has a specified homotopy group (of a given degree) related to its structure of continuous deformations.
  • B. hasHodgeNumbers
    Indicates that an entity (typically a geometric or algebraic object) is associated with specific Hodge numbers describing its Hodge decomposition or Hodge structure.
  • C. hasPontryaginDual
    Indicates that one mathematical object is the Pontryagin dual (the group of continuous homomorphisms into the circle group) of another topological abelian group.
  • D. homotopyType
    Indicates that two topological spaces or maps share the same homotopy type, meaning they can be continuously deformed into one another up to homotopy.
  • E. hasHodgeStructure
    Indicates that one mathematical object is endowed with, or related to another via, a Hodge structure defining its decomposition into Hodge components.
  • 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_69f6fb93224881908fc66fe76115fcdb completed May 3, 2026, 7:38 a.m.
PD Predicate disambiguation batch_69f6f969b4cc8190afb473a2d8b110bc completed May 3, 2026, 7:29 a.m.
PDg Predicate description generation batch_69f6fb17d5ec81909091e37e1ddbe577 completed May 3, 2026, 7:36 a.m.
Created at: April 27, 2026, 6:39 a.m.