Triple
T37259248
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Schur’s lemma |
E924214
|
entity |
| Predicate | secondSchurLemmaStatement |
P200332
|
FINISHED |
| Object | if V is an irreducible representation over an algebraically closed field then End(V) is one-dimensional over that field |
—
|
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: if V is an irreducible representation over an algebraically closed field then End(V) is one-dimensional over that field | Statement: [Schur’s lemma, secondSchurLemmaStatement, if V is an irreducible representation over an algebraically closed field then End(V) is one-dimensional over that field]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: secondSchurLemmaStatement Context triple: [Schur’s lemma, secondSchurLemmaStatement, if V is an irreducible representation over an algebraically closed field then End(V) is one-dimensional over that field]
-
A.
secondCongruence
Indicates that one entity is congruent to another with respect to a second, distinct congruence relation or modular equivalence condition.
-
B.
isSymmetrizationOf
Indicates that one object or structure is the result of transforming another into a symmetric form, typically by averaging or otherwise enforcing symmetry with respect to some operation or group.
-
C.
secondCongruenceModulus
Indicates that the second argument specifies the modulus with respect to which two values are congruent in a modular arithmetic relationship.
-
D.
associatedQuadraticFormProperty
Indicates that a quadratic form is linked to, or characterized by, a specific property or attribute related to its structure or behavior.
-
E.
secondSmallestEigenvalueSymbol
Indicates the symbolic representation of the second smallest eigenvalue in a spectrum or eigenvalue set.
- 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_69f76eabd6c481909d414a80a1345c98 |
completed | May 3, 2026, 3:50 p.m. |
| NER | Named-entity recognition | batch_69ff80d9a1d88190a95b1488acd6e2e5 |
completed | May 9, 2026, 6:45 p.m. |
| PD | Predicate disambiguation | batch_69ff802ae2dc819093a3cda42b63dcbd |
completed | May 9, 2026, 6:42 p.m. |
| PDg | Predicate description generation | batch_69ff80d8ff208190b9e95d077fd99f78 |
completed | May 9, 2026, 6:45 p.m. |
Created at: May 3, 2026, 4:15 p.m.