Triple

T15860196
Position Surface form Disambiguated ID Type / Status
Subject Hilbert–Schmidt operator E384562 entity
Predicate basisIndependence P8371 FINISHED
Object Hilbert–Schmidt norm is independent of orthonormal basis 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: Hilbert–Schmidt norm is independent of orthonormal basis | Statement: [Hilbert–Schmidt operator, basisIndependence, Hilbert–Schmidt norm is independent of orthonormal basis]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: basisIndependence
Context triple: [Hilbert–Schmidt operator, basisIndependence, Hilbert–Schmidt norm is independent of orthonormal basis]
  • A. independenceFrom
    Indicates that one entity is not controlled, governed, or significantly influenced by another entity.
  • B. isIndependent chosen
    Indicates that an entity exists, functions, or operates without being controlled, influenced, or determined by another entity.
  • C. originallyIndependentOf
    Indicates that one entity was initially separate from, and not derived from or influenced by, another entity at the outset.
  • D. hasBasisIn
    Indicates that one entity is founded, derived, or justified on the grounds of another entity.
  • E. basisDefinition
    Indicates that one entity serves as the foundational explanation, principle, or justification upon which another entity is defined or established.
  • 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_69d86da422088190aac39e32e6c68429 completed April 10, 2026, 3:25 a.m.
NER Named-entity recognition batch_69e174de2cd48190ab18e48c9f051a2a completed April 16, 2026, 11:46 p.m.
PD Predicate disambiguation batch_69e142b976c081908d3ba3e705419f3a completed April 16, 2026, 8:12 p.m.
Created at: April 10, 2026, 4:50 a.m.