Triple

T10388963
Position Surface form Disambiguated ID Type / Status
Subject Sur les courbes algébriques et les variétés qui s’en déduisent E244839 entity
Predicate relatedTo P37 FINISHED
Object Riemann hypothesis for curves over finite fields E244835 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.

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 hypothesis for curves over finite fields | Statement: [Sur les courbes algébriques et les variétés qui s’en déduisent, relatedTo, Riemann hypothesis for curves over finite fields]

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Riemann hypothesis for curves over finite fields
Context triple: [Sur les courbes algébriques et les variétés qui s’en déduisent, relatedTo, Riemann hypothesis for curves over finite fields]
  • A. Hasse–Weil bound for abelian varieties
    The Hasse–Weil bound for abelian varieties is a fundamental result in arithmetic geometry that gives sharp estimates for the number of rational points on abelian varieties over finite fields in terms of their dimension and the field size.
  • B. Weil conjectures chosen
    The Weil conjectures are a set of deep statements about the zeta functions of algebraic varieties over finite fields that guided the development of modern algebraic geometry and were ultimately proved using étale cohomology.
  • C. Artin’s conjecture on L-functions
    Artin’s conjecture on L-functions is a major unproven hypothesis in number theory asserting that nontrivial Artin L-functions associated to Galois representations are entire, with deep implications for the distribution of primes and the structure of number fields.
  • D. Siegel’s theorem on zeros of L-functions
    Siegel’s theorem on zeros of L-functions is a result in analytic number theory that gives strong bounds on how close nontrivial zeros of Dirichlet L-functions can approach 1, with deep implications for the distribution of primes in arithmetic progressions.
  • E. Sato–Tate distribution (for families of elliptic curves)
    The Sato–Tate distribution (for families of elliptic curves) is a probabilistic law describing how the normalized Frobenius traces (or equivalently, the angles in the Hasse bound) of elliptic curves are distributed, typically following a specific sine-squared measure on the interval [0, π].
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69d381b5116081908d85227bab6d3c0c elicitation completed
NER batch_69d4e9b40dd8819080ac839487020a44 ner completed
NED1 batch_69d7fbae9a9c81908178fca68eb142b6 ned_source_triple completed
Created at: April 6, 2026, 12:05 p.m.