Triple
T21494516
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | algebraic number theory |
E530317
|
entity |
| Predicate | fieldOfStudy |
P3
|
FINISHED |
| Object | Iwasawa theory |
—
|
NE NERFINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Iwasawa theory | Statement: [algebraic number theory, fieldOfStudy, Iwasawa theory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Iwasawa theory Context triple: [algebraic number theory, fieldOfStudy, Iwasawa theory]
-
A.
Iwasawa theory
chosen
Iwasawa theory is a branch of number theory that studies the growth of arithmetic invariants in infinite towers of number fields, particularly using p-adic methods.
-
B.
Iwasawa algebra
The Iwasawa algebra is a completed group ring used in number theory to study infinite Galois extensions and p-adic L-functions within Iwasawa theory.
-
C.
Iwasawa invariants
Iwasawa invariants are numerical parameters in algebraic number theory that measure the growth of class groups and related arithmetic objects in infinite towers of number fields studied in Iwasawa theory.
-
D.
Bloch–Kato conjecture
The Bloch–Kato conjecture is a deep statement in arithmetic geometry and K-theory that predicts an exact correspondence between Galois cohomology and Milnor K-theory, linking algebraic K-groups to field arithmetic.
-
E.
p-adic L-functions
p-adic L-functions are p-adic analytic functions that interpolate special values of complex L-functions and play a central role in modern number theory, particularly in the study of arithmetic properties of Galois representations and algebraic number fields.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 batches)
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_69e0c45bd15481909fba5910765cdda2 |
completed | April 16, 2026, 11:13 a.m. |
| NER | Named-entity recognition | batch_69e9ea567244819091863350fedae3ae |
completed | April 23, 2026, 9:45 a.m. |
Created at: April 16, 2026, 6:23 p.m.