Triple

T35335477
Position Surface form Disambiguated ID Type / Status
Subject Lévy’s continuity theorem E1020437 entity
Predicate equivalenceBetween P6530 FINISHED
Object pointwise convergence of characteristic functions on ℝ 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: pointwise convergence of characteristic functions on ℝ | Statement: [Lévy’s continuity theorem, equivalenceBetween, pointwise convergence of characteristic functions on ℝ]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: equivalenceBetween
Context triple: [Lévy’s continuity theorem, equivalenceBetween, pointwise convergence of characteristic functions on ℝ]
  • A. equivalentTo chosen
    Indicates that two entities represent the same concept, value, or state, and can be treated as interchangeable in the given context.
  • B. equivalentIn
    Indicates that two entities are considered logically or functionally the same in meaning, status, or effect within a given context.
  • C. hasEquivalent
    Indicates that two entities are considered equal in value, meaning, or function within a given context.
  • D. isEquiconsistentWith
    Indicates that two formal theories or systems have the same consistency strength, such that if one is consistent then the other is also consistent, and if one is inconsistent then so is the other.
  • E. legalEquivalence
    Indicates that two legal entities, statuses, or provisions are considered to have the same legal effect, standing, or validity within a given legal framework.
  • 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_69f76debb4e08190be52d89b8af2392d completed May 3, 2026, 3:46 p.m.
NER Named-entity recognition batch_69f79da9f80c8190b0afd8509f28747b completed May 3, 2026, 7:10 p.m.
PD Predicate disambiguation batch_69f79617d40481909ba372f94209c08b completed May 3, 2026, 6:38 p.m.
Created at: May 3, 2026, 4:03 p.m.