Triple

T24081666
Position Surface form Disambiguated ID Type / Status
Subject Gauss hypergeometric function E596519 entity
Predicate hasTransformationFormula P154777 FINISHED
Object Euler transformation {}_2F_1(a,b;c;z)=(1-z)^{c-a-b}{}_2F_1(c-a,c-b;c;z) LITERAL FINISHED

How this triple was built (2 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: Euler transformation {}_2F_1(a,b;c;z)=(1-z)^{c-a-b}{}_2F_1(c-a,c-b;c;z) | Statement: [Gauss hypergeometric function, hasTransformationFormula, Euler transformation {}_2F_1(a,b;c;z)=(1-z)^{c-a-b}{}_2F_1(c-a,c-b;c;z)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasTransformationFormula
Context triple: [Gauss hypergeometric function, hasTransformationFormula, Euler transformation {}_2F_1(a,b;c;z)=(1-z)^{c-a-b}{}_2F_1(c-a,c-b;c;z)]
  • A. hasTransformation
    Indicates that one entity changes or is converted into another entity, capturing a transformation process or result.
  • B. usesTransformation
    Indicates that one entity applies or relies on a specific transformation process, method, or function to operate on or convert another entity.
  • C. hasInverseFormula
    Indicates that one formula is mathematically derived as the inverse of another formula, reversing its input-output relationship.
  • D. hasTransformationType
    Indicates that an entity undergoes or is associated with a specific kind or category of transformation.
  • E. hasTransformationName
    Indicates that an entity is associated with a specific name or label assigned to a transformation it undergoes or represents.
  • F. None of above. chosen

Provenance (4 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_69e288c4638c81909bacc28a1e3d436b completed April 17, 2026, 7:23 p.m.
NER Named-entity recognition batch_69f1dc24b0d081909fcae5e34c6e3b98 completed April 29, 2026, 10:23 a.m.
PD Predicate disambiguation batch_69f1764b1d4c8190b12590c6339c31c1 completed April 29, 2026, 3:08 a.m.
PDg Predicate description generation batch_69f1785afe3c81909be28986ffe944bf completed April 29, 2026, 3:17 a.m.
Created at: April 17, 2026, 10:43 p.m.