Triple
T6833390
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gaussian rationals ℚ(i) |
E157390
|
entity |
| Predicate | unitGroupOfRingOfIntegers |
P27190
|
FINISHED |
| Object | {±1,±i} |
—
|
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: {±1,±i} | Statement: [Gaussian rationals ℚ(i), unitGroupOfRingOfIntegers, {±1,±i}]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: unitGroupOfRingOfIntegers
Context triple: [Gaussian rationals ℚ(i), unitGroupOfRingOfIntegers, {±1,±i}]
-
A.
isRingOfIntegersOf
Indicates that one mathematical structure is the ring of integers associated with a given number field or algebraic extension.
-
B.
isRingTheoreticAnalogueOf
Indicates that one concept in ring theory serves as the structural or conceptual counterpart of another notion from a different mathematical context.
-
C.
unitsFormGroupIsomorphicTo
chosen
Indicates that the group formed by the units (invertible elements) of one algebraic structure is isomorphic, as a group, to the group formed by the units of another structure.
-
D.
EuclideanFunction
Indicates a relationship defined by a Euclidean distance–based function, typically mapping entities or their attributes to values derived from Euclidean metric properties.
-
E.
automorphismGroupOrder
Indicates the size of the group of all structure-preserving bijections (automorphisms) of an object under composition.
- 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_69c6882c53608190b99aebef079b23bd |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d62b1e8c8190a81d91191a54b073 |
completed | March 27, 2026, 7:10 p.m. |
| PD | Predicate disambiguation | batch_69c6d09d95f0819091ca7f897dc21efe |
completed | March 27, 2026, 6:46 p.m. |
Created at: March 27, 2026, 2:18 p.m.