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: Book III (Disquisitiones Arithmeticae) | Statement: [Book I (Disquisitiones Arithmeticae), relatedWork, Book III (Disquisitiones Arithmeticae)]

Target entity: Book III (Disquisitiones Arithmeticae)
Context triple: [Book I (Disquisitiones Arithmeticae), relatedWork, Book III (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. Grundgesetze der Arithmetik, Volume II
  Grundgesetze der Arithmetik, Volume II is the second volume of Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he further develops and applies his formal system for arithmetic.
• D. 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.
• 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.