Triple
T7011039
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Richard Dedekind |
E162579
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object | Dedekind domain |
E621104
|
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: Dedekind domain | Statement: [Richard Dedekind, knownFor, Dedekind domain]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Dedekind domain Context triple: [Richard Dedekind, knownFor, Dedekind domain]
-
A.
Dedekind domain
chosen
A Dedekind domain is an integral domain in which every nonzero proper ideal factors uniquely into a product of prime ideals, playing a central role in algebraic number theory and the study of rings of integers in number fields.
-
B.
Euclidean domains
Euclidean domains are a class of integral domains that admit a division algorithm based on a Euclidean function, generalizing the arithmetic of the integers and enabling efficient computation of greatest common divisors.
-
C.
Noetherian rings
Noetherian rings are a fundamental class of rings in commutative algebra characterized by the property that every ascending chain of ideals stabilizes, ensuring that all ideals are finitely generated.
-
D.
Henselian ring
A Henselian ring is a local ring in which Hensel’s lemma holds, allowing certain types of polynomial factorizations and root liftings from the residue field to the ring itself.
-
E.
ring theory
Ring theory is a branch of abstract algebra that studies rings—algebraic structures equipped with two binary operations generalizing addition and multiplication of integers—and their ideals, modules, and homomorphisms.
- 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_69c6885a127c8190867b059bdccf13ff |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6dc3917c481909a288c3e56630c48 |
completed | March 27, 2026, 7:36 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c76a4bd424819097e1543ec59979ff |
completed | March 28, 2026, 5:42 a.m. |
Created at: March 27, 2026, 2:34 p.m.