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, Liber Quartus | Statement: [Book IV (Disquisitiones Arithmeticae), originalTitle, Disquisitiones Arithmeticae, Liber Quartus]

Target entity: Disquisitiones Arithmeticae, Liber Quartus
Context triple: [Book IV (Disquisitiones Arithmeticae), originalTitle, Disquisitiones Arithmeticae, Liber Quartus]

• 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. De institutione arithmetica
  De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
• D. 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.
• E. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.