Triple

T20523486
Position Surface form Disambiguated ID Type / Status
Subject Mittag-Leffler function E503871 entity
Predicate hasSpecialCase P7025 FINISHED
Object E_{α}(z) 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: E_{α}(z) | Statement: [Mittag-Leffler function, hasSpecialCase, E_{α}(z)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: E_{α}(z)
Context triple: [Mittag-Leffler function, hasSpecialCase, E_{α}(z)]
  • A. Mittag-Leffler function chosen
    The Mittag-Leffler function is a complex function that generalizes the exponential function and plays a central role in fractional calculus and the theory of differential and integral equations.
  • B. Hurwitz zeta function
    The Hurwitz zeta function is a complex analytic function that generalizes the Riemann zeta function by introducing a shift parameter, playing a key role in analytic number theory and special function theory.
  • C. 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.
  • D. Hardy Z-function
    The Hardy Z-function is a real-valued function derived from the Riemann zeta function on the critical line, used extensively in the study of the distribution of its zeros and the Riemann Hypothesis.
  • E. 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.
  • 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_69e0b4b3a6e08190ae663701f50fab8e completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e69f471f18819091e8a57161fe0225 completed April 20, 2026, 9:48 p.m.
Created at: April 16, 2026, 11:36 a.m.