Triple

T21783538
Position Surface form Disambiguated ID Type / Status
Subject Higher composition laws I–IV E537777 entity
Predicate part P3120 FINISHED
Object Higher composition laws II NE NERFINISHED

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: Higher composition laws II
Context triple: [Higher composition laws I–IV, part, Higher composition laws II]
  • A. Higher composition laws I–IV chosen
    Higher composition laws I–IV is a landmark four-part series of papers by Manjul Bhargava that generalizes Gauss’s composition of binary quadratic forms and develops new structures and methods in algebraic number theory.
  • B. Shimura reciprocity law
    The Shimura reciprocity law is a fundamental result in number theory that generalizes classical reciprocity laws by describing how values of modular functions at complex multiplication (CM) points transform under the action of Galois groups.
  • C. Automorphic Forms and the Reciprocity Law
    "Automorphic Forms and the Reciprocity Law" is a seminal mathematical work by Goro Shimura that develops deep connections between automorphic forms, number theory, and reciprocity laws in arithmetic geometry.
  • D. Hilbert’s twelfth problem
    Hilbert’s twelfth problem is one of David Hilbert’s famous list of 23 problems, asking for a general explicit class field theory that would generate all abelian extensions of a given number field using special values of analytic functions.
  • E. Siegel mass formula
    The Siegel mass formula is a fundamental result in number theory that relates the weighted count (mass) of quadratic forms in a given genus to special values of zeta and L-functions, providing deep connections between arithmetic and geometry.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 batches)

Stage Batch ID Job type Status
creating batch_69e0c47198f881908cb0d237266c10e9 elicitation completed
NER batch_69f046303d54819096b3fab4ab5678e6 ner completed
Created at: April 16, 2026, 6:52 p.m.