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 |
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: 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]
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)
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_69ca84e3f0c48190ada72a65ebd50efd |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cdb35dc29c819080203be5b904dc9d |
completed | April 2, 2026, 12:07 a.m. |
| PD | Predicate disambiguation | batch_69cd03e57cac8190914bb5ae608a6e0e |
completed | April 1, 2026, 11:39 a.m. |
Created at: March 30, 2026, 8:33 p.m.