Triple
T23372458
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | GL(n,ℝ) |
E593509
|
entity |
| Predicate | hasDeterminantSignHomomorphismTo |
P69858
|
FINISHED |
| Object | {−1,1} |
—
|
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: {−1,1} | Statement: [GL(n,ℝ), hasDeterminantSignHomomorphismTo, {−1,1}]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasDeterminantSignHomomorphismTo
Context triple: [GL(n,ℝ), hasDeterminantSignHomomorphismTo, {−1,1}]
-
A.
hasDeterminant
Indicates that one entity functions as a determiner (e.g., article, demonstrative, quantifier) specifying or limiting the reference of another entity, typically a noun or noun phrase.
-
B.
hasHomomorphism
chosen
Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
-
C.
isUnimodular
Indicates that a matrix (or linear transformation) has determinant ±1, preserving volume and invertibility over the integers.
-
D.
hasCharacteristicPolynomial
Indicates that one mathematical object (typically a matrix or linear operator) is associated with a specific characteristic polynomial that encodes its eigenvalue-related properties.
-
E.
hasMinimalFaithfulLinearRepresentation
Indicates that there exists a faithful linear representation of the entity (e.g., a group) whose dimension is minimal among all its faithful linear representations.
- 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_69e25d2593c88190bcdf4a716a94ccb2 |
completed | April 17, 2026, 4:17 p.m. |
| NER | Named-entity recognition | batch_69f1a3af45ec8190a32aa4e5f04f6756 |
completed | April 29, 2026, 6:22 a.m. |
| PD | Predicate disambiguation | batch_69f061c7aaa48190a58ce93f87155ffc |
completed | April 28, 2026, 7:29 a.m. |
Created at: April 17, 2026, 5:32 p.m.