Triple
T26177685
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cassels–Tate pairing |
E654586
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | construction in arithmetic geometry |
C47075
|
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: construction in arithmetic geometry Context triple: [Cassels–Tate pairing, instanceOf, construction in arithmetic geometry]
-
A.
result in arithmetic geometry
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.
-
B.
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.
-
C.
work in algebraic geometry
Work in algebraic geometry studies geometric objects defined as solution sets to polynomial equations, using tools from commutative algebra and topology to understand their structure, classification, and morphisms between them.
-
D.
technique in Diophantine geometry
chosen
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.
theory in algebraic number theory
A theory in algebraic number theory is a coherent framework of definitions, structures, and results that explains and predicts arithmetic properties of algebraic numbers and related objects such as number fields, ideals, and Galois groups.
- 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_69ee5b45873c81909499203612d05d07 |
completed | April 26, 2026, 6:36 p.m. |
Created at: April 26, 2026, 8:38 p.m.