Triple
T14438336
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Iwasawa theory |
E358023
|
entity |
| Predicate | coreConcept |
P533
|
FINISHED |
| Object | Greenberg Selmer group |
E1099328
|
NE FINISHED |
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: Greenberg Selmer group | Statement: [Iwasawa theory, coreConcept, Greenberg Selmer group]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Greenberg Selmer group Context triple: [Iwasawa theory, coreConcept, Greenberg Selmer group]
-
A.
Selmer group
chosen
A Selmer group is an arithmetic invariant in number theory that encodes obstructions to local-global principles for Galois representations or abelian varieties, playing a central role in studying Diophantine equations and Iwasawa theory.
-
B.
Weil group
The Weil group is an extension of the absolute Galois group introduced by André Weil to refine class field theory and play a central role in the formulation of the local and global Langlands correspondences.
-
C.
Zassenhaus conjecture
The Zassenhaus conjecture is a prominent open problem in group theory concerning the structure of units in integral group rings and their relation to the underlying finite group.
-
D.
Segal conjecture
The Segal conjecture is a fundamental result in algebraic topology that relates the Burnside ring of a finite group to the stable cohomotopy of its classifying space, profoundly influencing equivariant stable homotopy theory.
-
E.
Whitehead groups
Whitehead groups are algebraic K-theory invariants associated with groups that measure the failure of certain projective modules or h-cobordisms to be trivial, playing a central role in high-dimensional topology and geometric group theory.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69d8279402a88190821ffa39ae15bccf |
completed | April 9, 2026, 10:26 p.m. |
| NER | Named-entity recognition | batch_69de914a45ec81909ab8ccf302047d7f |
completed | April 14, 2026, 7:11 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69fd648b8f348190be11645b371b4102 |
completed | May 8, 2026, 4:20 a.m. |
Created at: April 10, 2026, 1:18 a.m.