Triple

T23737545
Position Surface form Disambiguated ID Type / Status
Subject Bell numbers E586577 entity
Predicate DobinskiFormula P90300 FINISHED
Object B_n = \frac{1}{e} \sum_{k=0}^{\infty} \frac{k^n}{k!} 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: B_n = \frac{1}{e} \sum_{k=0}^{\infty} \frac{k^n}{k!} | Statement: [Bell numbers, DobinskiFormula, B_n = \frac{1}{e} \sum_{k=0}^{\infty} \frac{k^n}{k!}]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: DobinskiFormula
Context triple: [Bell numbers, DobinskiFormula, B_n = \frac{1}{e} \sum_{k=0}^{\infty} \frac{k^n}{k!}]
  • A. relationToBernoulliNumbers
    Indicates a mathematical relationship or connection between an entity and the Bernoulli numbers, such as dependence, expression, or formulation in terms of them.
  • B. OEIS
    Indicates that there is a relationship to the On-Line Encyclopedia of Integer Sequences, typically referencing or identifying a specific integer sequence entry.
  • C. probabilityGeneratingFunction
    Indicates a relationship where a random variable or distribution is mapped to its probability generating function, which encodes the probabilities of its discrete outcomes into a single analytic expression.
  • D. hasSeriesExpansion chosen
    Indicates that a mathematical function or expression is associated with a specific series representation (such as a Taylor or power series) that expands it around a point or region.
  • E. relationToPolylogarithm
    Indicates a mathematical relationship or connection between a given object (such as a function, expression, or value) and the polylogarithm function.
  • 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_69e24907dc9c8190be074c9c96a0ec2d completed April 17, 2026, 2:51 p.m.
NER Named-entity recognition batch_69f1bad356c88190ae29ce403145ee73 completed April 29, 2026, 8:01 a.m.
PD Predicate disambiguation batch_69f155f012808190a4b1cbc155558ade completed April 29, 2026, 12:50 a.m.
Created at: April 17, 2026, 7:11 p.m.