Triple
T9844184
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy interlacing theorem |
E239297
|
entity |
| Predicate | typicalStatement |
P4223
|
FINISHED |
| Object | eigenvalues of a k×k principal submatrix interlace those of the n×n matrix with n≥k |
—
|
LITERAL FINISHED |
Named-entity recognition
Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's LITERAL type shown above.
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: eigenvalues of a k×k principal submatrix interlace those of the n×n matrix with n≥k | Statement: [Cauchy interlacing theorem, typicalStatement, eigenvalues of a k×k principal submatrix interlace those of the n×n matrix with n≥k]
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: typicalStatement Context triple: [Cauchy interlacing theorem, typicalStatement, eigenvalues of a k×k principal submatrix interlace those of the n×n matrix with n≥k]
-
A.
statement
chosen
Indicates that an entity makes, issues, or expresses a declarative assertion, claim, or remark about something.
-
B.
typicalSpeaker
Indicates that the subject is a prototypical or characteristic speaker or source of utterances in the context of the object.
-
C.
typicalConclusion
Indicates that one entity is the usual or expected outcome, result, or ending that follows from another entity or situation.
-
D.
publicStatements
Indicates that one entity makes official or public verbal or written declarations about another entity or topic.
-
E.
typicalIn
Indicates that something commonly occurs, appears, or is found within a given context, category, or environment.
- F. None of above.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69ca84e3f0c48190ada72a65ebd50efd |
elicitation | completed |
| NER | batch_69cdb35dc29c819080203be5b904dc9d |
ner | completed |
| PD | batch_69cd03e57cac8190914bb5ae608a6e0e |
pd | completed |
Created at: March 30, 2026, 8:33 p.m.