Triple

T4437426
Position Surface form Disambiguated ID Type / Status
Subject Rogers–Ramanujan-type identities E95684 entity
Predicate hasGeneralizationMethod P33646 FINISHED
Object Andrews–Baxter–Forrester method
The Andrews–Baxter–Forrester method is a combinatorial and analytic technique in q-series and partition theory used to derive and generalize Rogers–Ramanujan-type identities.
E440257 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: Andrews–Baxter–Forrester method | Statement: [Rogers–Ramanujan-type identities, hasGeneralizationMethod, Andrews–Baxter–Forrester method]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Andrews–Baxter–Forrester method
Context triple: [Rogers–Ramanujan-type identities, hasGeneralizationMethod, Andrews–Baxter–Forrester method]
  • A. 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.
  • B. Bethe ansatz
    The Bethe ansatz is a powerful method in theoretical physics for exactly solving certain one-dimensional quantum many-body systems by reducing them to algebraic equations for particle momenta.
  • C. 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.
  • D. Aitken
    Aitken is a large lunar impact crater on the Moon, best known as part of the immense South Pole–Aitken Basin on the Moon’s far side.
  • E. Aitken
    Aitken is a Scottish-origin surname notably borne by Max Aitken, 1st Baron Beaverbrook, a prominent Canadian-British newspaper magnate and politician.
  • 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: Andrews–Baxter–Forrester method
Triple: [Rogers–Ramanujan-type identities, hasGeneralizationMethod, Andrews–Baxter–Forrester method]
Generated description
The Andrews–Baxter–Forrester method is a combinatorial and analytic technique in q-series and partition theory used to derive and generalize Rogers–Ramanujan-type identities.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Andrews–Baxter–Forrester method
Target entity description: The Andrews–Baxter–Forrester method is a combinatorial and analytic technique in q-series and partition theory used to derive and generalize Rogers–Ramanujan-type identities.
  • A. 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.
  • B. Bethe ansatz
    The Bethe ansatz is a powerful method in theoretical physics for exactly solving certain one-dimensional quantum many-body systems by reducing them to algebraic equations for particle momenta.
  • C. 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.
  • D. Aitken
    Aitken is a large lunar impact crater on the Moon, best known as part of the immense South Pole–Aitken Basin on the Moon’s far side.
  • E. Aitken
    Aitken is a Scottish-origin surname notably borne by Max Aitken, 1st Baron Beaverbrook, a prominent Canadian-British newspaper magnate and politician.
  • 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_69b3564216b081908c41109100b36862 completed March 13, 2026, 12:11 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.