Triple

T10371149
Position Surface form Disambiguated ID Type / Status
Subject A. Ivić, The Riemann Zeta-Function E244384 entity
Predicate hasAbbreviation P43 FINISHED
Object Ivić, The Riemann Zeta-Function E244384 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: Ivić, The Riemann Zeta-Function | Statement: [A. Ivić, The Riemann Zeta-Function, hasAbbreviation, Ivić, The Riemann Zeta-Function]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Ivić, The Riemann Zeta-Function
Context triple: [A. Ivić, The Riemann Zeta-Function, hasAbbreviation, Ivić, The Riemann Zeta-Function]
  • A. A. Ivić, The Riemann Zeta-Function chosen
    "A. Ivić, The Riemann Zeta-Function" is a comprehensive monograph on the analytic theory of the Riemann zeta function, widely regarded as a standard modern reference in analytic number theory.
  • B. H. M. Edwards, Riemann’s Zeta Function
    *H. M. Edwards, Riemann’s Zeta Function* is a classic monograph that provides a rigorous, historically informed, and comprehensive study of the Riemann zeta function and the Riemann Hypothesis, widely regarded as a standard reference in analytic number theory.
  • C. E. C. Titchmarsh, The Theory of the Riemann Zeta-Function
    "E. C. Titchmarsh, The Theory of the Riemann Zeta-Function" is a classic monograph in analytic number theory that provides a comprehensive and authoritative treatment of the Riemann zeta function and related topics.
  • D. Riemann zeta function
    The Riemann zeta function is a complex-valued function central to analytic number theory, whose properties—especially the distribution of its zeros—are deeply connected to the distribution of prime numbers.
  • E. Multiplicative Number Theory I. Classical Theory (Hugh L. Montgomery, Robert C. Vaughan)
    Multiplicative Number Theory I. Classical Theory (by Hugh L. Montgomery and Robert C. Vaughan) is a foundational graduate-level textbook that systematically develops the classical theory of multiplicative number theory, including Dirichlet characters, L-functions, and the distribution of prime numbers.
  • 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_69d381b3e328819094b23b8edcd29b5a completed April 6, 2026, 9:49 a.m.
NER Named-entity recognition batch_69d4e9737cfc81909d6302bd4177d186 completed April 7, 2026, 11:24 a.m.
NED1 Entity disambiguation (via context triple) batch_69d7956469988190b5a9b2dfe062379f completed April 9, 2026, 12:02 p.m.
Created at: April 6, 2026, 12:01 p.m.