Triple

T19327901
Position Surface form Disambiguated ID Type / Status
Subject Theorie der algebraischen Zahlen E483406 entity
Predicate hasKeyConcept P533 FINISHED
Object p-adic numbers NE NERFINISHED

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: p-adic numbers
Context triple: [Theorie der algebraischen Zahlen, hasKeyConcept, p-adic numbers]
  • A. p-adic numbers chosen
    The p-adic numbers are a system of number fields that extend the rational numbers by measuring distance with respect to divisibility by a fixed prime p, playing a central role in modern number theory and arithmetic geometry.
  • B. 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.
  • C. p-adic analytic groups
    p-adic analytic groups are topological groups over the p-adic numbers that locally resemble finite-dimensional p-adic manifolds and admit a compatible analytic structure.
  • D. p-adic Hodge theory
    p-adic Hodge theory is a branch of arithmetic geometry that studies p-adic Galois representations and their relationship to the cohomology of algebraic varieties over p-adic fields, using analogues of classical Hodge-theoretic structures.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 batches)

Stage Batch ID Job type Status
creating batch_69d8e8d13e3c81909d91d1d5ec37c095 elicitation completed
NER batch_69e6163f32f48190be17cccf4e537372 ner completed
Created at: April 10, 2026, 1:33 p.m.