Triple

T33761301
Position Surface form Disambiguated ID Type / Status
Subject Jacobi ensemble E865110 entity
Predicate hasLimitingKernel P82499 FINISHED
Object sine kernel in the bulk (for β=1,2,4 under standard scaling) 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: sine kernel in the bulk (for β=1,2,4 under standard scaling) | Statement: [Jacobi ensemble, hasLimitingKernel, sine kernel in the bulk (for β=1,2,4 under standard scaling)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasLimitingKernel
Context triple: [Jacobi ensemble, hasLimitingKernel, sine kernel in the bulk (for β=1,2,4 under standard scaling)]
  • A. hasLimitingSequence
    Indicates that one entity serves as a limiting sequence (in the sense of convergence or approximation) for another entity.
  • B. hasLimitation
    Indicates that an entity is subject to a constraint, restriction, or boundary that limits its scope, capability, or applicability.
  • C. hasDeterminantMapKernelOf
    Indicates that the kernel of a given map is characterized or determined by a determinant-related condition or construction.
  • D. isLimitOf
    Indicates that one quantity, function, or sequence approaches a particular value as its input or index approaches some specified point or condition.
  • E. hasKernelType chosen
    Indicates that an entity possesses or is associated with a specific type or classification of kernel.
  • 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_69f3498d3b748190aa3c4006c1f32f38 completed April 30, 2026, 12:22 p.m.
NER Named-entity recognition batch_69fe38be079c8190a240191ac0e73e3a completed May 8, 2026, 7:25 p.m.
PD Predicate disambiguation batch_69fe350344508190930de2218156ca02 completed May 8, 2026, 7:09 p.m.
Created at: May 1, 2026, 1:45 a.m.