Triple
T21277643
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SO(n) |
E524430
|
entity |
| Predicate | isZariskiClosed |
P143481
|
FINISHED |
| Object | true in Mₙ(ℝ) |
—
|
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: true in Mₙ(ℝ) | Statement: [SO(n), isZariskiClosed, true in Mₙ(ℝ)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isZariskiClosed Context triple: [SO(n), isZariskiClosed, true in Mₙ(ℝ)]
-
A.
isIntegrallyClosed
Indicates that a ring (or similar algebraic structure) contains all elements of its field of fractions that are integral over it, i.e., it has no proper integral extension within its field of fractions.
-
B.
irreducibleClosedSetsCorrespondTo
Indicates that there is a correspondence between irreducible closed sets and another class of objects (typically points or prime ideals) in a given topological or algebraic structure.
-
C.
closedSubsetsOfAffineSpace
Indicates that the related entities are subsets of an affine space that are closed in the corresponding topology.
-
D.
isQuasiCompact
Indicates that a space or object has the property that every open cover admits a finite subcover, or an analogous finiteness/compactness condition in its context.
-
E.
isClosedAndNowhereDense
Indicates that a set is both closed (contains all its limit points) and nowhere dense (its closure has empty interior, so it is "small" in the topological sense).
- 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_69e0b516293c819089458ea2ec85f85e |
completed | April 16, 2026, 10:08 a.m. |
| NER | Named-entity recognition | batch_69e736583c08819087a4726538e703e2 |
completed | April 21, 2026, 8:33 a.m. |
| PD | Predicate disambiguation | batch_69e5f6161dac8190b06009cd180e3ff7 |
completed | April 20, 2026, 9:47 a.m. |
| PDg | Predicate description generation | batch_69e5f9943ed881909ef49045c5bcf6df |
completed | April 20, 2026, 10:01 a.m. |
Created at: April 16, 2026, 4:02 p.m.