Triple
T23234936
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | orthogonal group O(n+1,2) |
E581259
|
entity |
| Predicate | hasIwasawaDecomposition |
P73433
|
FINISHED |
| Object | KAN with K ≅ O(n+1)×O(2) |
—
|
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: KAN with K ≅ O(n+1)×O(2) | Statement: [orthogonal group O(n+1,2), hasIwasawaDecomposition, KAN with K ≅ O(n+1)×O(2)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasIwasawaDecomposition Context triple: [orthogonal group O(n+1,2), hasIwasawaDecomposition, KAN with K ≅ O(n+1)×O(2)]
-
A.
hasCanonicalDecomposition
Indicates that an entity can be expressed as a standard or normalized combination of more basic components or parts.
-
B.
hasDecomposition
chosen
Indicates that something can be broken down or separated into constituent parts, components, or simpler elements.
-
C.
hasMaximalCompactSubgroupOf
Indicates that one mathematical group is the maximal compact subgroup contained within another group.
-
D.
hasWeylGroup
Indicates that an algebraic or geometric structure is associated with a specific Weyl group capturing its symmetry properties.
-
E.
hasCanonicalBasis
Indicates that there exists a standard or preferred basis associated with an entity, typically used as the reference basis in its context.
- 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_69e2460556f88190be1744a84a84173f |
completed | April 17, 2026, 2:39 p.m. |
| NER | Named-entity recognition | batch_69f192e8c7548190b53434eeb2620a6e |
completed | April 29, 2026, 5:11 a.m. |
| PD | Predicate disambiguation | batch_69effcdadec0819092ec1749ee453b4e |
completed | April 28, 2026, 12:18 a.m. |
Created at: April 17, 2026, 4:09 p.m.