Triple
T8733533
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hasse–Arf theorem |
E207315
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in local class field theory |
C24994
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: result in local class field theory Context triple: [Hasse–Arf theorem, instanceOf, result in local class field theory]
-
A.
algebraic number field
An algebraic number field is a finite field extension of the rational numbers, obtained by adjoining to ℚ a root of a nonzero polynomial with rational (or integer) coefficients.
-
B.
L-function
An L-function is a complex analytic function, typically expressed as a Dirichlet series with an Euler product, that encodes deep arithmetic information about objects such as numbers, fields, or algebraic varieties.
-
C.
field theory
Field theory is a branch of physics and mathematics that models physical quantities as continuous fields distributed over space and time, governed by specific equations and symmetries.
-
D.
locality
A locality is a geographically bounded area, such as a neighborhood, town, or district, characterized by its specific physical setting, social community, and administrative identity.
-
E.
even unimodular lattice
An even unimodular lattice is a free abelian group of finite rank equipped with a positive-definite symmetric bilinear form whose Gram matrix has determinant 1 and for which the squared length of every lattice vector is an even integer.
- F. None of above. chosen
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69ca8358e4008190898471a59b96c301 |
completed | March 30, 2026, 2:06 p.m. |
Created at: March 30, 2026, 6:37 p.m.