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.
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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.
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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.