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: Pythagorean number theory | Statement: [On Nature (Philolaus), philosophicalTheme, Pythagorean number theory]

Target entity: Pythagorean number theory
Context triple: [On Nature (Philolaus), philosophicalTheme, Pythagorean number theory]

• A. On Pythagorean Numbers chosen
  On Pythagorean Numbers is a lost philosophical work by the ancient Greek philosopher Speusippus that explored numerical doctrines associated with Pythagorean thought.
• B. Fermat polygonal number theorem
  The Fermat polygonal number theorem is a result in number theory stating that every positive integer can be expressed as a sum of a fixed number of polygonal numbers of a given order.
• C. Three Pearls of Number Theory
  Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
• D. Number Theory: An Approach through History from Hammurapi to Legendre
  "Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
• E. Pell-type equations
  Pell-type equations are a class of quadratic Diophantine equations, typically of the form x² − Ny² = 1, that have been studied extensively in number theory since ancient times, including in Indian mathematics.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.