Triple

T17661187
Position Surface form Disambiguated ID Type / Status
Subject Slater’s list of identities E440254 entity
Predicate relatedTo P37 FINISHED
Object Bailey pairs — NE NERFINISHED

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: Bailey pairs | Statement: [Slater’s list of identities, relatedTo, Bailey pairs]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Bailey pairs
Context triple: [Slater’s list of identities, relatedTo, Bailey pairs]
  • A. Bailey pairs chosen
    Bailey pairs are specific sequences of numbers used in the theory of basic hypergeometric series and q-series, forming the foundational building blocks for Bailey chains and related identities in combinatorics and number theory.
  • B. Sziklai pair
    The Sziklai pair is a two-transistor configuration that functions like a Darlington pair but uses complementary transistors to achieve high current gain with a lower base-emitter voltage.
  • C. Bailey pairs of W. N. Bailey
    Bailey pairs of W. N. Bailey are a foundational construct in the theory of basic hypergeometric series that underpins the Bailey lemma and later developments such as Bailey chains in partition and q-series identities.
  • D. Bailey chains
    Bailey chains are iterative constructions in the theory of basic hypergeometric series that generate infinite families of Rogers–Ramanujan-type identities from an initial Bailey pair.
  • E. Paar
    Paar is a surname most notably associated with American television host and comedian Jack Paar, a pioneering figure of late-night talk shows.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69d8b9e87e18819087104a44dc4dc5b1 completed April 10, 2026, 8:50 a.m.
NER Named-entity recognition batch_69e46ea67f8081909da164ca21a98675 completed April 19, 2026, 5:56 a.m.
Created at: April 10, 2026, 9:43 a.m.