Triple
T36876412
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Bloch–Kato conjecture |
E911354
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | statement in arithmetic geometry |
C24993
|
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: statement in arithmetic geometry Context triple: [Bloch–Kato conjecture, instanceOf, statement in arithmetic geometry]
-
A.
object of arithmetic geometry
An object of arithmetic geometry is a mathematical structure, such as a scheme or variety, studied simultaneously with its geometric properties and its arithmetic behavior over number-theoretic base rings or fields.
-
B.
result in arithmetic geometry
chosen
A result in arithmetic geometry is a theorem or proposition that connects number-theoretic properties of solutions to polynomial equations with the geometric structure of the varieties they define over arithmetic fields.
-
C.
area of algebraic geometry
An area of algebraic geometry is a subfield focused on a specific collection of problems, techniques, and structures related to the study of solutions to polynomial equations and their geometric properties.
-
D.
technique in Diophantine geometry
A technique in Diophantine geometry is a systematic method or tool—often combining algebraic, geometric, and arithmetic ideas—used to study and solve equations with integer or rational solutions on algebraic varieties.
-
E.
object of algebraic number theory
An object of algebraic number theory is a mathematical structure—such as a number field, ring of integers, ideal, or Galois group—studied to understand the arithmetic and algebraic properties of algebraic numbers and their extensions.
- F. None of above.
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_69f76e82339881909607a65c0503d941 |
completed | May 3, 2026, 3:49 p.m. |
Created at: May 3, 2026, 4:13 p.m.