Triple
T2408408
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Klein quartic |
E50328
|
entity |
| Predicate | relatedToGroupTheory |
P37
|
FINISHED |
| Object | simple group of order 168 |
—
|
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: simple group of order 168 | Statement: [Klein quartic, relatedToGroupTheory, simple group of order 168]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: relatedToGroupTheory Context triple: [Klein quartic, relatedToGroupTheory, simple group of order 168]
-
A.
hasRepresentationTheoryDevelopedBy
Indicates that the representation theory of one mathematical object or structure was developed or formulated by a particular person or group.
-
B.
relatedTo
chosen
Indicates a general, non-specific relationship or association exists between two entities.
-
C.
usesSymmetryGroup
Indicates that one entity employs or is based on a particular symmetry group in its structure, behavior, or formulation.
-
D.
isNonAbelian
Indicates that the operation or structure in question does not satisfy commutativity, so the order of applying the operation matters.
-
E.
hasAdditiveGroupIsomorphicTo
Indicates that the additive group structure of one algebraic object is isomorphic (structure-preserving bijection exists) to the additive group structure of another.
- 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_69a88b0339a88190a1207333cd271cc9 |
completed | March 4, 2026, 7:41 p.m. |
| NER | Named-entity recognition | batch_69abceab9ce881909ae0a2f34515c11e |
completed | March 7, 2026, 7:07 a.m. |
| PD | Predicate disambiguation | batch_69abc5a530e8819094105aa92dfaf6b3 |
completed | March 7, 2026, 6:28 a.m. |
Created at: March 4, 2026, 7:58 p.m.