Triple
T7705339
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SL(2,C) |
E174597
|
entity |
| Predicate | isAlgebraicGroupOver |
P78396
|
FINISHED |
| Object | C |
—
|
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: C | Statement: [SL(2,C), isAlgebraicGroupOver, C]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isAlgebraicGroupOver Context triple: [SL(2,C), isAlgebraicGroupOver, C]
-
A.
isAlgebraicOver
Indicates that one mathematical object satisfies a nontrivial polynomial equation whose coefficients lie in the other object (typically a field or ring), expressing algebraic dependence over that base.
-
B.
hasGaloisGroupIsomorphicTo
Indicates that the Galois group associated with one mathematical object is isomorphic (structure-preserving bijection exists) to the Galois group associated with another object.
-
C.
isGaloisExtensionOf
Indicates that one field is a Galois extension of another, meaning it is a normal and separable field extension whose automorphism group over the base field captures all its symmetries.
-
D.
hasGaloisGroup
Indicates that one mathematical object (typically a field extension or polynomial) has the specified group as its Galois group, capturing the symmetries of its roots or structure.
-
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. chosen
Provenance (4 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_69c6995b3e8c8190833108f883d5f53c |
completed | March 27, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69c70402169481909b219dc5f4a64b9b |
completed | March 27, 2026, 10:26 p.m. |
| PD | Predicate disambiguation | batch_69c70165e78c8190bf6b3c34e243cb81 |
completed | March 27, 2026, 10:15 p.m. |
| PDg | Predicate description generation | batch_69c7040091608190a9e46ecfb2ff0bca |
completed | March 27, 2026, 10:26 p.m. |
Created at: March 27, 2026, 4:03 p.m.