Triple

T21654171
Position Surface form Disambiguated ID Type / Status
Subject Galois representations E534413 entity
Predicate usedIn P98 FINISHED
Object Iwasawa theory 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: Iwasawa theory | Statement: [Galois representations, usedIn, Iwasawa theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Iwasawa theory
Context triple: [Galois representations, usedIn, Iwasawa theory]
  • A. Iwasawa theory chosen
    Iwasawa theory is a branch of number theory that studies the growth of arithmetic invariants in infinite towers of number fields, particularly using p-adic methods.
  • B. Iwasawa algebra
    The Iwasawa algebra is a completed group ring used in number theory to study infinite Galois extensions and p-adic L-functions within Iwasawa theory.
  • C. Iwasawa invariants
    Iwasawa invariants are numerical parameters in algebraic number theory that measure the growth of class groups and related arithmetic objects in infinite towers of number fields studied in Iwasawa theory.
  • D. Bloch–Kato conjecture
    The Bloch–Kato conjecture is a deep statement in arithmetic geometry and K-theory that predicts an exact correspondence between Galois cohomology and Milnor K-theory, linking algebraic K-groups to field arithmetic.
  • 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_69e0c466aec88190ba39c7543dbc8ba2 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69ef59164fe081908abd2e33dcd67def completed April 27, 2026, 12:39 p.m.
Created at: April 16, 2026, 6:36 p.m.