Triple

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).

Phrase: Disquisitiones Arithmeticae | Statement: [Book VI (Disquisitiones Arithmeticae), originalTitleOfWholeWork, Disquisitiones Arithmeticae]

Target entity: Disquisitiones Arithmeticae
Context triple: [Book VI (Disquisitiones Arithmeticae), originalTitleOfWholeWork, Disquisitiones Arithmeticae]

• A. Disquisitiones Arithmeticae chosen
  Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
• B. An Introduction to the Theory of Numbers
  An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
• C. Die Theorie der algebraischen Zahlkörper
  "Die Theorie der algebraischen Zahlkörper" is a foundational mathematical monograph on algebraic number fields, authored by David Hilbert and published as part of his influential Zahlbericht.
• D. Vorlesungen über Zahlentheorie (with Dirichlet)
  Vorlesungen über Zahlentheorie (with Dirichlet) is a foundational 19th-century textbook on number theory, based on lectures by Peter Gustav Lejeune Dirichlet and edited and expanded by Richard Dedekind.
• E. Theorie der algebraischen Zahlen
  "Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: originalTitleOfWholeWork
Context triple: [Book VI (Disquisitiones Arithmeticae), originalTitleOfWholeWork, Disquisitiones Arithmeticae]

• A. originalTitleOfWork chosen
  Indicates that one work is the original title under which another work was first created, published, or released.
• B. originallyTitleOf
  Indicates that one title is the original title from which another work, edition, or localized title is derived.
• C. originalLanguageTitle
  Indicates the title of a work as it appears in its original language of creation or publication.
• D. títuloCompleto
  Indicates that one entity is the full or complete title (including all its components or formal wording) associated with another entity.
• E. originalTitleLanguage
  Indicates the language in which a work’s original title was written or expressed.
• F. None of above.