Triple
T18299056
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hecke operators |
E438307
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | endomorphism of modular forms space |
C40124
|
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: endomorphism of modular forms space Context triple: [Hecke operators, instanceOf, endomorphism of modular forms space]
-
A.
automorphic representation (in a broad sense)
An automorphic representation (in a broad sense) is an irreducible unitary representation of an adelic or locally compact group that arises in the spectral decomposition of spaces of automorphic forms, encoding number-theoretic and geometric information via harmonic analysis on arithmetic quotients.
-
B.
geodesic in moduli space
A geodesic in moduli space is the locally length-minimizing path (with respect to a chosen natural metric, such as the Weil–Petersson metric) that describes the most efficient deformation of complex structures or geometric data between two points in the moduli space.
-
C.
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.
-
D.
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.
-
E.
24-dimensional lattice
A 24-dimensional lattice is a discrete, periodic arrangement of points in 24-dimensional Euclidean space generated by integer linear combinations of 24 independent basis vectors.
- 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_69d8b915e3e881909125d760c15d0c29 |
completed | April 10, 2026, 8:47 a.m. |
Created at: April 10, 2026, 10:35 a.m.