Triple

T20404797
Position Surface form Disambiguated ID Type / Status
Subject Fuchsian differential equation E500438 entity
Predicate relatedTo P37 FINISHED
Object Gauss hypergeometric function NE NERFINISHED

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: Gauss hypergeometric function | Statement: [Fuchsian differential equation, relatedTo, Gauss hypergeometric function]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Gauss hypergeometric function
Context triple: [Fuchsian differential equation, relatedTo, Gauss hypergeometric function]
  • A. Gauss hypergeometric function chosen
    The Gauss hypergeometric function is a special function defined by a power series that generalizes many elementary and higher transcendental functions and plays a central role in mathematical analysis, differential equations, and mathematical physics.
  • B. Kummer's function (confluent hypergeometric function)
    Kummer's function, or the confluent hypergeometric function, is a special function that solves a simplified form of the hypergeometric differential equation and appears widely in mathematical physics, probability, and differential equations.
  • C. Barnes G-function
    The Barnes G-function is a special function that generalizes the superfactorial and is closely related to the gamma and multiple gamma functions in complex analysis and number theory.
  • D. Gamma function
    The Gamma function is a fundamental extension of the factorial function to complex and real non-integer arguments, widely used in analysis, probability, and mathematical physics.
  • E. Kummer's differential equation
    Kummer's differential equation is a second-order linear ordinary differential equation whose solutions are the confluent hypergeometric functions, playing a central role in special function theory and mathematical physics.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e0b4a81bec8190b69adfdc1336a015 completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e6799161c48190825eca3027d1aa51 completed April 20, 2026, 7:08 p.m.
Created at: April 16, 2026, 11:29 a.m.