Triple

T18956137
Position Surface form Disambiguated ID Type / Status
Subject Kummer theory E463784 entity
Predicate hasGeneralization P2372 FINISHED
Object Lubin–Tate 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: Lubin–Tate theory | Statement: [Kummer theory, hasGeneralization, Lubin–Tate theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Lubin–Tate theory
Context triple: [Kummer theory, hasGeneralization, Lubin–Tate theory]
  • A. Lubin–Tate formal groups chosen
    Lubin–Tate formal groups are a class of one-dimensional formal group laws over local fields that play a central role in local class field theory by providing explicit descriptions of abelian extensions.
  • B. Iwasawa theory
    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.
  • C. Hasse–Arf theorem
    The Hasse–Arf theorem is a fundamental result in algebraic number theory that precisely characterizes the jumps in the ramification filtration of abelian extensions of local fields, showing they occur at integer values.
  • D. Artin–Schreier theory
    Artin–Schreier theory is a branch of algebraic number theory and field theory that characterizes cyclic extensions of prime degree in fields of characteristic p using additive polynomials.
  • E. 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.
  • 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_69d8dcffc278819086792a4ebfddfafa completed April 10, 2026, 11:20 a.m.
NER Named-entity recognition batch_69e5d5cdf2d08190a0aecd3fa5335a75 completed April 20, 2026, 7:29 a.m.
Created at: April 10, 2026, noon