Triple

T27675338
Position Surface form Disambiguated ID Type / Status
Subject Askey scheme of hypergeometric orthogonal polynomials E697762 entity
Predicate topFamily P162942 FINISHED
Object Wilson polynomials
Wilson polynomials are a family of classical hypergeometric orthogonal polynomials that occupy a central, most general position in the Askey scheme.
 E1782175 NE FINISHED

How this triple was built (3 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: Wilson polynomials | Statement: [Askey scheme of hypergeometric orthogonal polynomials, topFamily, Wilson polynomials]
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: Wilson polynomials
Triple: [Askey scheme of hypergeometric orthogonal polynomials, topFamily, Wilson polynomials]
Generated description
Wilson polynomials are a family of classical hypergeometric orthogonal polynomials that occupy a central, most general position in the Askey scheme.
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: topFamily
Context triple: [Askey scheme of hypergeometric orthogonal polynomials, topFamily, Wilson polynomials]
  • A. familyOf
    Indicates a familial relationship exists between the entities, such as by blood, marriage, or adoption.
  • B. familia
    Indicates a familial relationship or bond between entities, such as being members of the same family.
  • C. ownerFamily
    Indicates that a family has ownership or proprietary rights over a particular entity or resource.
  • D. leftFamily
    Indicates that an entity has departed from or is no longer part of their family unit.
  • E. familyAspect
    Indicates a relationship where one entity is characterized by a particular familial role, status, or aspect in relation to another entity.
  • F. None of above. chosen

Provenance (7 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_69ef590d458c81909583290c3cd0478b completed April 27, 2026, 12:39 p.m.
NER Named-entity recognition batch_69f635339e888190bd1e33a0af531a38 completed May 2, 2026, 5:32 p.m.
NED1 Entity disambiguation (via context triple) batch_6a12daaa22c48190b3f05cc780d85fcf completed May 24, 2026, 11:02 a.m.
NEDg Description generation batch_6a12db425798819097c2f19d2aa6baaa completed May 24, 2026, 11:04 a.m.
NED2 Entity disambiguation (via description) batch_6a12dbac16bc8190aa2c654274fbcb3b completed May 24, 2026, 11:06 a.m.
PD Predicate disambiguation batch_69f62c1a92648190835a2c5250d8c758 completed May 2, 2026, 4:53 p.m.
PDg Predicate description generation batch_69f6305219f08190b55f6193a4a49984 completed May 2, 2026, 5:11 p.m.
Created at: April 27, 2026, 2:43 p.m.