Triple

T17661067
Position Surface form Disambiguated ID Type / Status
Subject Bailey chains E440252 entity
Predicate basedOn P98 FINISHED
Object Bailey pairs
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.
E1280787 NE FINISHED

How this triple was built (4 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: [Bailey chains, basedOn, Bailey pairs]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bailey pairs
Context triple: [Bailey chains, basedOn, Bailey pairs]
  • A. 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.
  • B. Paar
    Paar is a surname most notably associated with American television host and comedian Jack Paar, a pioneering figure of late-night talk shows.
  • C. Paar
    "Paar" is a critically acclaimed Indian film directed by Goutam Ghose, known for its stark portrayal of social injustice and rural hardship.
  • D. Paar
    Paar is a river in Bavaria, Germany, known for flowing through several towns and rural landscapes before joining the Danube.
  • E. Çifteler
    Çifteler is a town and district in central Turkey known for its agricultural activities and location within Eskişehir Province in the Central Anatolia region.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Bailey pairs
Triple: [Bailey chains, basedOn, Bailey pairs]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Bailey pairs
Target entity description: 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.
  • A. 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.
  • B. Paar
    Paar is a surname most notably associated with American television host and comedian Jack Paar, a pioneering figure of late-night talk shows.
  • C. Paar
    "Paar" is a critically acclaimed Indian film directed by Goutam Ghose, known for its stark portrayal of social injustice and rural hardship.
  • D. Paar
    Paar is a river in Bavaria, Germany, known for flowing through several towns and rural landscapes before joining the Danube.
  • E. Çifteler
    Çifteler is a town and district in central Turkey known for its agricultural activities and location within Eskişehir Province in the Central Anatolia region.
  • F. None of above. chosen

Provenance (5 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.
NED1 Entity disambiguation (via context triple) batch_6a02165a9da081909f18e2b240f15281 completed May 11, 2026, 5:48 p.m.
NEDg Description generation batch_6a0216f564f88190863cdb92eb533532 completed May 11, 2026, 5:50 p.m.
NED2 Entity disambiguation (via description) batch_6a021784a1188190acc6f4f5d81a8662 completed May 11, 2026, 5:53 p.m.
Created at: April 10, 2026, 9:43 a.m.