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.