Triple

T16876516
Position Surface form Disambiguated ID Type / Status
Subject Rota–Baxter algebra E421312 entity
Predicate studiedIn P770 FINISHED
Object noncommutative geometry E286300 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.

Instruction
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).
Input
Phrase: noncommutative geometry | Statement: [Rota–Baxter algebra, studiedIn, noncommutative geometry]

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: noncommutative geometry
Context triple: [Rota–Baxter algebra, studiedIn, noncommutative geometry]
  • A. noncommutative geometry chosen
    Noncommutative geometry is a branch of mathematics that generalizes geometric concepts to settings where coordinate algebras do not commute, with deep applications in operator algebras, topology, and theoretical physics.
  • B. noncommutative tori
    Noncommutative tori are fundamental examples of noncommutative spaces in operator algebras and noncommutative geometry, generalizing the algebra of functions on a classical torus by deforming the commutation relations of its coordinate functions.
  • C. Noncommutative Geometry (1994 book)
    Noncommutative Geometry (1994 book) is Alain Connes’ foundational monograph that systematically develops the theory of noncommutative spaces and its applications to mathematics and theoretical physics.
  • D. Noncommutative Geometry, Quantum Fields and Motives
    Noncommutative Geometry, Quantum Fields and Motives is a seminal work by Alain Connes that develops a deep interplay between noncommutative geometry, quantum field theory, and arithmetic geometry through the language of motives.
  • E. Connes–Moscovici index theorem
    The Connes–Moscovici index theorem is a fundamental result in noncommutative geometry that generalizes the classical Atiyah–Singer index theorem to the setting of foliations and noncommutative spaces.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69d889d470fc8190b4aec199636c0c56 elicitation completed
NER batch_69e3b7f704a081909921d00b3c470472 ner completed
NED1 batch_6a00c2b4abd08190841c5bb0b0eaa177 ned_source_triple completed
Created at: April 10, 2026, 5:29 a.m.