Triple

T4437400
Position Surface form Disambiguated ID Type / Status
Subject Rogers–Ramanujan-type identities E95684 entity
Predicate relatedTo P37 FINISHED
Object 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.
 E440252 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 chains | Statement: [Rogers–Ramanujan-type identities, relatedTo, Bailey chains]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Bailey chains
Context triple: [Rogers–Ramanujan-type identities, relatedTo, Bailey chains]
  • A. Bealings
    Bealings is a small rural village and civil parish located in the English county of Suffolk.
  • B. Banabans
    Banabans are an indigenous Micronesian people originally from the island of Banaba in present-day Kiribati, known for their displacement due to extensive phosphate mining during the 20th century.
  • C. Crescent
    Crescent is a long-distance Amtrak passenger train that runs between New York City and New Orleans, serving major cities along the U.S. East Coast and Deep South.
  • D. Copperline
    "Copperline" is a reflective folk-rock song by American singer-songwriter James Taylor, known for its nostalgic lyrics about his North Carolina childhood.
  • E. Banes
    Banes is a coastal municipality in eastern Cuba’s Holguín Province, historically known for its sugar industry and archaeological sites.
  • 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 chains
Triple: [Rogers–Ramanujan-type identities, relatedTo, Bailey chains]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Bailey chains
Target entity description: 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.
  • A. Bealings
    Bealings is a small rural village and civil parish located in the English county of Suffolk.
  • B. Banabans
    Banabans are an indigenous Micronesian people originally from the island of Banaba in present-day Kiribati, known for their displacement due to extensive phosphate mining during the 20th century.
  • C. Crescent
    Crescent is a long-distance Amtrak passenger train that runs between New York City and New Orleans, serving major cities along the U.S. East Coast and Deep South.
  • D. Copperline
    "Copperline" is a reflective folk-rock song by American singer-songwriter James Taylor, known for its nostalgic lyrics about his North Carolina childhood.
  • E. Banes
    Banes is a coastal municipality in eastern Cuba’s Holguín Province, historically known for its sugar industry and archaeological sites.
  • 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_69b3453ea2b48190a26f154b3b8fece5 completed March 12, 2026, 10:59 p.m.
NER Named-entity recognition batch_69b3558b1d4481909060ede5e0ded4bc completed March 13, 2026, 12:08 a.m.
NED1 Entity disambiguation (via context triple) batch_69b6137960908190814cbdf0b4e56542 completed March 15, 2026, 2:03 a.m.
NEDg Description generation batch_69b61439a86c8190849c5af718ddc647 completed March 15, 2026, 2:06 a.m.
NED2 Entity disambiguation (via description) batch_69b614d6106c81908a601f540622f934 completed March 15, 2026, 2:09 a.m.
Created at: March 12, 2026, 11:31 p.m.