Triple

T4437425
Position Surface form Disambiguated ID Type / Status
Subject Rogers–Ramanujan-type identities E95684 entity
Predicate hasGeneralizationMethod P33646 FINISHED
Object Bailey chain method
The Bailey chain method is a powerful technique in the theory of basic hypergeometric series that systematically generates infinite families of q-series and partition identities, including generalizations of Rogers–Ramanujan-type identities.
E440256 NE FINISHED

How this triple was built (5 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 chain method | Statement: [Rogers–Ramanujan-type identities, hasGeneralizationMethod, Bailey chain method]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bailey chain method
Context triple: [Rogers–Ramanujan-type identities, hasGeneralizationMethod, Bailey chain method]
  • A. Gundersen method
    The Gundersen method is a timing-based system in Nordic combined that converts ski jumping results into staggered start times for the cross-country race so that the first athlete to finish wins overall.
  • B. Feautrier method
    The Feautrier method is a numerical technique used in radiative transfer to stably and accurately solve second-order differential equations for the radiation field in stellar atmospheres and similar media.
  • C. Darwin–Fowler method
    The Darwin–Fowler method is a statistical mechanics technique that uses complex analysis and generating functions to derive distribution laws for systems of many particles.
  • D. The Method
    The Method is a Russian psychological crime drama series featuring Svetlana Khodchenkova in a prominent role.
  • E. Eiffel method
    The Eiffel method is a software engineering approach that emphasizes object-oriented design, correctness by construction, and the use of contracts to ensure software reliability.
  • 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 chain method
Triple: [Rogers–Ramanujan-type identities, hasGeneralizationMethod, Bailey chain method]
Generated description
The Bailey chain method is a powerful technique in the theory of basic hypergeometric series that systematically generates infinite families of q-series and partition identities, including generalizations of Rogers–Ramanujan-type identities.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Bailey chain method
Target entity description: The Bailey chain method is a powerful technique in the theory of basic hypergeometric series that systematically generates infinite families of q-series and partition identities, including generalizations of Rogers–Ramanujan-type identities.
  • A. Gundersen method
    The Gundersen method is a timing-based system in Nordic combined that converts ski jumping results into staggered start times for the cross-country race so that the first athlete to finish wins overall.
  • B. Feautrier method
    The Feautrier method is a numerical technique used in radiative transfer to stably and accurately solve second-order differential equations for the radiation field in stellar atmospheres and similar media.
  • C. Darwin–Fowler method
    The Darwin–Fowler method is a statistical mechanics technique that uses complex analysis and generating functions to derive distribution laws for systems of many particles.
  • D. The Method
    The Method is a Russian psychological crime drama series featuring Svetlana Khodchenkova in a prominent role.
  • E. Eiffel method
    The Eiffel method is a software engineering approach that emphasizes object-oriented design, correctness by construction, and the use of contracts to ensure software reliability.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasGeneralizationMethod
Context triple: [Rogers–Ramanujan-type identities, hasGeneralizationMethod, Bailey chain method]
  • A. hasTypeGenus
    Indicates that one entity is the type genus that formally defines or represents the taxonomic group of the other entity.
  • B. generalizationOf
    Indicates that one entity represents a broader, more general concept or category that subsumes or abstracts over another, more specific entity.
  • C. generalizationProperty
    Indicates that one property is a more general, overarching version of another property, capturing a broader or more abstract relationship.
  • D. hasGeneralPurpose
    Indicates that one entity serves as the broad, overarching function, role, or intended use of another entity.
  • E. usesMethods chosen
    Indicates that one entity employs, applies, or relies on specific methods or techniques to perform an action or achieve a result.
  • F. None of above.

Provenance (6 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.
PD Predicate disambiguation batch_69b34f6078cc8190831b89f404198cc5 completed March 12, 2026, 11:42 p.m.
Created at: March 12, 2026, 11:31 p.m.