Triple
T19231153
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Runge approximation theorem |
E480873
|
entity |
| Predicate | statesThat |
P34
|
FINISHED |
| Object | if K is a compact subset of C with connected complement and f is holomorphic on an open set containing K then f can be uniformly approximated on K by polynomials |
—
|
LITERAL FINISHED |
How this triple was built (1 step)
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 K is a compact subset of C with connected complement and f is holomorphic on an open set containing K then f can be uniformly approximated on K by polynomials | Statement: [Runge approximation theorem, statesThat, if K is a compact subset of C with connected complement and f is holomorphic on an open set containing K then f can be uniformly approximated on K by polynomials]
Provenance (2 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_69d8e8ccb8f48190ad420098e74fb1db |
completed | April 10, 2026, 12:10 p.m. |
| NER | Named-entity recognition | batch_69e5fa9ce5e081909df994841ce476d5 |
completed | April 20, 2026, 10:06 a.m. |
Created at: April 10, 2026, 1:25 p.m.