Triple
T25920206
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | shape operator |
E653147
|
entity |
| Predicate | smoothnessRequirement |
P90303
|
FINISHED |
| Object | defined for sufficiently smooth (at least C^2) hypersurfaces |
—
|
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: defined for sufficiently smooth (at least C^2) hypersurfaces | Statement: [shape operator, smoothnessRequirement, defined for sufficiently smooth (at least C^2) hypersurfaces]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: smoothnessRequirement Context triple: [shape operator, smoothnessRequirement, defined for sufficiently smooth (at least C^2) hypersurfaces]
-
A.
smoothness
Indicates the degree to which a surface or transition is even, continuous, and free from roughness or abrupt changes.
-
B.
isSmoothIf
Indicates that one entity or condition is smooth provided that another specified condition or requirement holds.
-
C.
surfaceQuality
Indicates the condition or characteristics of an entity’s outer surface, such as its smoothness, roughness, or finish.
-
D.
continuityCondition
Indicates that a relationship or process maintains consistency or unbroken progression across a boundary, interval, or sequence.
-
E.
regularityAssumption
chosen
Indicates that a relationship or process is assumed to behave in a consistent, well-behaved manner (e.g., continuity, smoothness, or stability) so that certain analyses or inferences are valid.
- 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_69e7ab3e025c819086771607157f0015 |
completed | April 21, 2026, 4:52 p.m. |
| NER | Named-entity recognition | batch_69f603e894f8819087e42e19a711151a |
completed | May 2, 2026, 2:02 p.m. |
| PD | Predicate disambiguation | batch_69f4a10480748190a2e67bd399fc435d |
completed | May 1, 2026, 12:48 p.m. |
Created at: April 22, 2026, 8:32 a.m.