Triple
T25920175
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | shape operator |
E653147
|
entity |
| Predicate | formalDefinition |
P6279
|
FINISHED |
| Object | for a hypersurface with unit normal field n, S(X) = - (∇_X n)^T for tangent vector X |
—
|
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: for a hypersurface with unit normal field n, S(X) = - (∇_X n)^T for tangent vector X | Statement: [shape operator, formalDefinition, for a hypersurface with unit normal field n, S(X) = - (∇_X n)^T for tangent vector X]
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_69e7ab3e025c819086771607157f0015 |
completed | April 21, 2026, 4:52 p.m. |
| NER | Named-entity recognition | batch_69f603e894f8819087e42e19a711151a |
completed | May 2, 2026, 2:02 p.m. |
Created at: April 22, 2026, 8:32 a.m.