Triple
T5705559
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cartan subalgebras |
E125774
|
entity |
| Predicate | existenceProperty |
P9000
|
FINISHED |
| Object | every finite-dimensional Lie algebra over an algebraically closed field of characteristic zero has a Cartan subalgebra |
—
|
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 finite-dimensional Lie algebra over an algebraically closed field of characteristic zero has a Cartan subalgebra | Statement: [Cartan subalgebras, existenceProperty, every finite-dimensional Lie algebra over an algebraically closed field of characteristic zero has a Cartan subalgebra]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: existenceProperty Context triple: [Cartan subalgebras, existenceProperty, every finite-dimensional Lie algebra over an algebraically closed field of characteristic zero has a Cartan subalgebra]
-
A.
ownershipCharacteristic
Indicates that one entity possesses a particular quality, attribute, or condition specifically in its role as an owner of another entity.
-
B.
eligibleProperties
Indicates that certain properties meet the required conditions or criteria to qualify for a specified purpose or status.
-
C.
ownedProperty
Indicates that one entity possesses legal ownership or control over another entity as property.
-
D.
existsWithin
Indicates that one entity is located inside the spatial, temporal, or conceptual boundaries of another entity.
-
E.
existsFor
chosen
Indicates that something is present, available, or holds true for a particular entity, context, or condition.
- 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_69c0082c96988190b3a6a201edce472a |
completed | March 22, 2026, 3:18 p.m. |
| NER | Named-entity recognition | batch_69c02459cd18819080fda0b481d11f08 |
completed | March 22, 2026, 5:18 p.m. |
| PD | Predicate disambiguation | batch_69c021c2d8bc8190b947c7d1f423d2f3 |
completed | March 22, 2026, 5:07 p.m. |
Created at: March 22, 2026, 3:45 p.m.