Triple

T10991140
Position Surface form Disambiguated ID Type / Status
Subject Dirichlet L-functions E259755 entity
Predicate nonvanishingProperty P9151 FINISHED
Object L(1,χ)≠0 for nontrivial Dirichlet characters χ LITERAL 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: L(1,χ)≠0 for nontrivial Dirichlet characters χ | Statement: [Dirichlet L-functions, nonvanishingProperty, L(1,χ)≠0 for nontrivial Dirichlet characters χ]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: nonvanishingProperty
Context triple: [Dirichlet L-functions, nonvanishingProperty, L(1,χ)≠0 for nontrivial Dirichlet characters χ]
  • A. nonVolatile
    Indicates that the associated entity or state does not change, disappear, or lose its value when power is removed or over time.
  • B. nonMaterialAspect
    Indicates that one entity represents an immaterial, intangible, or conceptual aspect or property of another entity.
  • C. vanishesWhen
    Indicates that one entity ceases to exist, be visible, or be present whenever a specified condition involving another entity holds.
  • D. isNonzeroFor chosen
    Indicates that a given value, function, or quantity is not equal to zero under specified conditions or for specified inputs.
  • E. nonDifferentiableAt
    Indicates that a function fails to have a well-defined derivative at a specific point.
  • F. None of above.

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_69d6aa8a6a548190a750f944ccdc8064 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d787b8d7088190b7d6b63c3bac4ad1 completed April 9, 2026, 11:04 a.m.
PD Predicate disambiguation batch_69d72e9055908190b438f039574aaaaf completed April 9, 2026, 4:44 a.m.
Created at: April 8, 2026, 9:24 p.m.