Triple

T10063334
Position Surface form Disambiguated ID Type / Status
Subject Hasse norm theorem E213039 entity
Predicate relatedTo P37 FINISHED
Object Hasse principle E207311 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.

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: Hasse principle | Statement: [Hasse norm theorem, relatedTo, Hasse principle]

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: Hasse principle
Context triple: [Hasse norm theorem, relatedTo, Hasse principle]
  • A. Hasse principle chosen
    The Hasse principle is a concept in number theory stating that a Diophantine equation has a rational solution if and only if it has solutions in all completions of the rationals, such as the real numbers and p-adic numbers.
  • B. Hasse norm theorem
    The Hasse norm theorem is a fundamental result in algebraic number theory that characterizes when an element of a global field is a norm from a cyclic extension by relating this property to its behavior in all completions of the field.
  • C. Brauer–Manin obstruction
    The Brauer–Manin obstruction is an arithmetic-geometric mechanism using the Brauer group and adelic points to explain failures of the Hasse principle and weak approximation for rational points on varieties.
  • D. Mordell–Weil theorem
    The Mordell–Weil theorem is a fundamental result in number theory stating that the group of rational points on an abelian variety (in particular, an elliptic curve) over a number field is finitely generated.
  • 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 (3 batches)

Stage Batch ID Job type Status
creating batch_69ca83977128819084084eb7d1d8c52a elicitation completed
NER batch_69cdcfd4e4ac8190a37061b4082caa48 ner completed
NED1 batch_69d29a7bd56c8190a6c43df26db880f4 ned_source_triple completed
Created at: March 30, 2026, 8:58 p.m.