Triple

T2394176
Position Surface form Disambiguated ID Type / Status
Subject Riemann zeta function E47609 entity
Predicate historicalPaper P37896 FINISHED
Object Riemann 1859 memoir "On the Number of Primes Less Than a Given Magnitude" E47355 NE FINISHED

How this triple was built (3 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 1859 memoir "On the Number of Primes Less Than a Given Magnitude" | Statement: [Riemann zeta function, historicalPaper, Riemann 1859 memoir "On the Number of Primes Less Than a Given Magnitude"]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Riemann 1859 memoir "On the Number of Primes Less Than a Given Magnitude"
Context triple: [Riemann zeta function, historicalPaper, Riemann 1859 memoir "On the Number of Primes Less Than a Given Magnitude"]
  • 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. Disquisitiones Arithmeticae
    Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: historicalPaper
Context triple: [Riemann zeta function, historicalPaper, Riemann 1859 memoir "On the Number of Primes Less Than a Given Magnitude"]
  • A. historicalProject
    Indicates a relationship where an entity is or was involved in, associated with, or characterized by a project of historical significance or from a past period.
  • B. historicalReference
    Indicates that one entity refers to, cites, or alludes to another entity from an earlier time or historical context.
  • C. historicalForm
    Indicates that one entity is an earlier or historically attested form or variant of another entity.
  • D. historicalMethod
    Indicates that a particular method, approach, or technique was used in the past, typically in a historical context or during a previous period of activity.
  • E. historicalScript
    Indicates that an entity is or was written in, or otherwise associated with, a particular historical writing system or script.
  • F. None of above. chosen

Provenance (5 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_69a88a1c450c81909f61abb8b6863885 completed March 4, 2026, 7:38 p.m.
NER Named-entity recognition batch_69abc87827d88190bb2351a688e6de32 completed March 7, 2026, 6:40 a.m.
NED1 Entity disambiguation (via context triple) batch_69aeb3da0978819094584cb23194fb3a completed March 9, 2026, 11:49 a.m.
PD Predicate disambiguation batch_69abc5a3825c81909ec6111dfc165453 completed March 7, 2026, 6:28 a.m.
PDg Predicate description generation batch_69abc664317c8190a6bb5a5065c21bde completed March 7, 2026, 6:32 a.m.
Created at: March 4, 2026, 7:57 p.m.