Triple

T22423101
Position Surface form Disambiguated ID Type / Status
Subject Erdős–Kac theorem E554297 entity
Predicate probabilisticInterpretation P21759 FINISHED
Object values of arithmetic functions over integers behave like sums of independent random variables 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: values of arithmetic functions over integers behave like sums of independent random variables | Statement: [Erdős–Kac theorem, probabilisticInterpretation, values of arithmetic functions over integers behave like sums of independent random variables]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: probabilisticInterpretation
Context triple: [Erdős–Kac theorem, probabilisticInterpretation, values of arithmetic functions over integers behave like sums of independent random variables]
  • A. definesProbability
    Indicates that one entity specifies or assigns the probability value associated with another entity or event.
  • B. probabilisticForm
    Indicates that the relationship or action is expressed in terms of probabilities or likelihoods rather than as a definite or deterministic form.
  • C. intendedInterpretation
    Indicates that one entity is meant to be understood or interpreted in a particular way, sense, or meaning relative to another.
  • D. interpretationMethod chosen
    Indicates the method, technique, or process used to interpret or derive meaning from something.
  • E. isInterpretableIn
    Indicates that one formal system, language, or theory can be meaningfully represented, understood, or given a semantics within another system, language, or theory.
  • 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_69e11e4f2d0c819091aa3558ea2ee630 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f15a2af620819083338127e78137dc completed April 29, 2026, 1:08 a.m.
PD Predicate disambiguation batch_69e8989495bc81909d2699fce5992e28 completed April 22, 2026, 9:44 a.m.
Created at: April 16, 2026, 8:47 p.m.