Triple
T24822910
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Artinian ring |
E621106
|
entity |
| Predicate | structureTheorem |
P49212
|
FINISHED |
| Object | every Artinian principal ideal ring is a finite direct product of Artinian principal ideal local rings |
—
|
LITERAL 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: every Artinian principal ideal ring is a finite direct product of Artinian principal ideal local rings | Statement: [Artinian ring, structureTheorem, every Artinian principal ideal ring is a finite direct product of Artinian principal ideal local rings]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: structureTheorem Context triple: [Artinian ring, structureTheorem, every Artinian principal ideal ring is a finite direct product of Artinian principal ideal local rings]
-
A.
structureCanonique
Indicates that one entity is the canonical or standard structural form of another entity.
-
B.
relatedTheorem
chosen
Indicates that one theorem is connected to another through a logical, thematic, or derivational relationship.
-
C.
structureFunction
Indicates that one entity’s physical or organizational structure serves a particular function or role in relation to another entity.
-
D.
hasTheorem
Indicates that one entity (typically a mathematical theory, field, or work) includes, establishes, or is associated with a particular theorem.
-
E.
isRingTheoreticAnalogueOf
Indicates that one concept in ring theory serves as the structural or conceptual counterpart of another notion from a different mathematical context.
- F. None of above.
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_69e2fabfd4648190bd0e5c7f4dbb6cab |
completed | April 18, 2026, 3:30 a.m. |
| NER | Named-entity recognition | batch_69f44a417a58819081777e18dda149fd |
completed | May 1, 2026, 6:37 a.m. |
| PD | Predicate disambiguation | batch_69f442b8479c8190a7c8e416ac9e28a0 |
completed | May 1, 2026, 6:05 a.m. |
Created at: April 18, 2026, 5:05 a.m.