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: [fundamental theorem of arithmetic, appearsIn, Disquisitiones Arithmeticae]

Target entity: Disquisitiones Arithmeticae
Context triple: [fundamental theorem of arithmetic, appearsIn, 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. Essai sur la théorie des nombres
  Essai sur la théorie des nombres is a foundational 18th-century treatise on number theory by Adrien-Marie Legendre that systematically developed many key results in the field.
• D. 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.
• E. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.