Triple

T2364764
Position Surface form Disambiguated ID Type / Status
Subject Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe E47354 entity
Predicate originalTitle P65 FINISHED
Object Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe E47354 NE 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: Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe | Statement: [Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe, originalTitle, Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
Context triple: [Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe, originalTitle, Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe]
  • A. Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe chosen
    Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
  • B. Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes
    Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes is a seminal mathematical paper by Niels Henrik Abel that develops fundamental results on transcendental functions and helped lay groundwork for modern analysis.
  • C. Hilbert’s twenty-second problem
    Hilbert’s twenty-second problem is one of David Hilbert’s famous list of 23 problems, concerning the uniformization of analytic relations and the representation of multi-valued analytic functions by single-valued ones on suitable Riemann surfaces.
  • D. Théorie des fonctions analytiques
    Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
  • E. The Fourier Integral and Certain of Its Applications
    The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69a88a1a4a6081908645b0f2914521ab completed March 4, 2026, 7:38 p.m.
NER Named-entity recognition batch_69abc7486cb48190acef1891cc87bdb1 completed March 7, 2026, 6:35 a.m.
NED1 Entity disambiguation (via context triple) batch_69aeb3c5c4b881909ad3223206fb2940 completed March 9, 2026, 11:49 a.m.
Created at: March 4, 2026, 7:55 p.m.