Triple

T6236662
Position Surface form Disambiguated ID Type / Status
Subject Laplace operator E139493 entity
Predicate invariance P4235 FINISHED
Object invariant under Euclidean isometries 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: invariant under Euclidean isometries | Statement: [Laplace operator, invariance, invariant under Euclidean isometries]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: invariance
Context triple: [Laplace operator, invariance, invariant under Euclidean isometries]
  • A. invariantOf
    Indicates that one element is an invariant (a property or quantity that remains unchanged) with respect to another element, system, or transformation.
  • B. invariantUnder chosen
    Indicates that a property, structure, or quantity remains unchanged when a specified transformation or operation is applied.
  • C. invariantType
    Indicates that one entity has a type or classification that remains constant or unchanged under specified conditions or transformations.
  • D. variant
    Indicates that one entity is an alternative form, version, or variation of another entity.
  • E. arity
    Indicates the number of arguments or participants that a relation or function takes.
  • 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_69c008b0e7ac8190808a59573ee646f3 completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c063021258819093a9237041816638 completed March 22, 2026, 9:45 p.m.
PD Predicate disambiguation batch_69c05601de6481909d0880048fd7b49a completed March 22, 2026, 8:50 p.m.
Created at: March 22, 2026, 4:23 p.m.