Triple

T29565471
Position Surface form Disambiguated ID Type / Status
Subject Brauer–Manin obstruction E753151 entity
Predicate instanceOf P0 FINISHED
Object obstruction to weak approximation C47075 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: obstruction to weak approximation
Context triple: [Brauer–Manin obstruction, instanceOf, obstruction to weak approximation]
  • A. 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.
  • B. curve over the rational numbers
    A curve over the rational numbers is an algebraic curve defined by polynomial equations with rational coefficients, considered together with its set of rational solutions and their arithmetic properties.
  • C. technique in Diophantine geometry chosen
    A technique in Diophantine geometry is a systematic method or tool—often combining algebraic, geometric, and arithmetic ideas—used to study and solve equations with integer or rational solutions on algebraic varieties.
  • D. result in metric Diophantine approximation
    A result in metric Diophantine approximation is a theorem that describes how well almost all real numbers (with respect to a given measure) can be approximated by rationals or other structured sets, typically quantifying the size or frequency of exceptional sets.
  • E. theorem in metric number theory
    A theorem in metric number theory is a rigorous statement describing the behavior of number-theoretic objects (such as Diophantine approximations or distribution of sequences) for "almost all" real numbers with respect to a given measure, typically Lebesgue measure.
  • 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_69f0ef7fcb4881908a933110adb9bda1 completed April 28, 2026, 5:33 p.m.
Created at: April 28, 2026, 5:52 p.m.