Triple

T21783565
Position Surface form Disambiguated ID Type / Status
Subject Artin reciprocity law E537778 entity
Predicate instanceOf P0 FINISHED
Object result in class field theory C24994 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07
Target class: result in class field theory
Context triple: [Artin reciprocity law, instanceOf, result in class field theory]
  • A. result in local class field theory chosen
    The "result" in local class field theory refers to the fundamental correspondence that classifies finite abelian extensions of a local field in terms of open subgroups of finite index in its multiplicative group (or, equivalently, its Galois group via the local reciprocity map).
  • B. result in K-theory
    A result in K-theory is a theorem or proposition describing how algebraic K-groups behave or relate to other invariants, often revealing deep structural or categorical properties of rings, schemes, or topological spaces.
  • C. result in arithmetic geometry
    A result in arithmetic geometry is a theorem or proposition that connects number-theoretic properties of solutions to polynomial equations with the geometric structure of the varieties they define over arithmetic fields.
  • D. result in lattice theory
    A result in lattice theory is a proven theorem or proposition that describes structural, order-theoretic, or algebraic properties of lattices and their related constructs.
  • E. algebraic number field
    An algebraic number field is a finite field extension of the rational numbers, obtained by adjoining to ℚ a root of a nonzero polynomial with rational (or integer) coefficients.
  • F. None of above.

Provenance (1 batch)

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_69e0c47198f881908cb0d237266c10e9 completed April 16, 2026, 11:13 a.m.
Created at: April 16, 2026, 6:52 p.m.