Triple

T2364818
Position Surface form Disambiguated ID Type / Status
Subject Über die Anzahl der Primzahlen unter einer gegebenen Grösse E47355 entity
Predicate alsoKnownAs P39 FINISHED
Object Riemann’s 1859 memoir on primes E47355 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: Riemann’s 1859 memoir on primes | Statement: [Über die Anzahl der Primzahlen unter einer gegebenen Grösse, alsoKnownAs, Riemann’s 1859 memoir on primes]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Riemann’s 1859 memoir on primes
Context triple: [Über die Anzahl der Primzahlen unter einer gegebenen Grösse, alsoKnownAs, Riemann’s 1859 memoir on primes]
  • A. Über die Anzahl der Primzahlen unter einer gegebenen Grösse chosen
    Über die Anzahl der Primzahlen unter einer gegebenen Grösse is Bernhard Riemann’s seminal 1859 paper that introduced the Riemann zeta function and laid the foundations of analytic number theory, including the famous Riemann Hypothesis.
  • B. 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.
  • C. 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.
  • D. Riemann hypothesis
    The Riemann hypothesis is a famous unsolved conjecture in number theory asserting that all nontrivial zeros of the Riemann zeta function lie on a critical line in the complex plane, with deep implications for the distribution of prime numbers.
  • E. Hardy–Ramanujan asymptotic formula
    The Hardy–Ramanujan asymptotic formula is a landmark result in number theory that gives an approximate expression for the partition function p(n), describing how the number of integer partitions of n grows rapidly with n.
  • 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_69aea896e0388190aabff2d70787dc43 completed March 9, 2026, 11:01 a.m.
Created at: March 4, 2026, 7:55 p.m.