Triple

T21858367
Position Surface form Disambiguated ID Type / Status
Subject Artin’s conjecture on L-functions E539691 entity
Predicate domain P87 FINISHED
Object L-functions — NE NERFINISHED

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-functions | Statement: [Artin’s conjecture on L-functions, domain, L-functions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: L-functions
Context triple: [Artin’s conjecture on L-functions, domain, L-functions]
  • A. L-functions chosen
    L-functions are complex analytic functions, often arising from number theory and algebraic geometry, that encode deep arithmetic information and generalize the Riemann zeta function.
  • B. Dirichlet L-functions
    Dirichlet L-functions are complex analytic functions built from Dirichlet characters that generalize the Riemann zeta function and play a central role in number theory, particularly in the study of primes in arithmetic progressions.
  • C. Artin L-functions
    Artin L-functions are complex analytic functions attached to Galois representations that generalize Dirichlet L-functions and play a central role in number theory and the study of arithmetic properties of fields.
  • D. Rankin–Selberg L-function
    The Rankin–Selberg L-function is an analytic number theory object constructed from pairs of automorphic forms (or representations), encoding deep arithmetic information through their convolution.
  • E. p-adic L-functions
    p-adic L-functions are p-adic analytic functions that interpolate special values of complex L-functions and play a central role in modern number theory, particularly in the study of arithmetic properties of Galois representations and algebraic number fields.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e0c47829648190bbe2d1d7033768ec completed April 16, 2026, 11:14 a.m.
NER Named-entity recognition batch_69f0d638721c8190918fc6ad9c5d5bf6 completed April 28, 2026, 3:46 p.m.
Created at: April 16, 2026, 6:56 p.m.