Triple
T17330271
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lefschetz pencil |
E420793
|
entity |
| Predicate | hasSingularFiber |
P4450
|
FINISHED |
| Object | hyperplane section with one nondegenerate critical point |
—
|
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: hyperplane section with one nondegenerate critical point | Statement: [Lefschetz pencil, hasSingularFiber, hyperplane section with one nondegenerate critical point]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasSingularFiber Context triple: [Lefschetz pencil, hasSingularFiber, hyperplane section with one nondegenerate critical point]
-
A.
hasIsolatedSingularity
Indicates that a function has a singular point at which it is not analytic, but is analytic in some punctured neighborhood around that point.
-
B.
hasMonodromy
Indicates that one mathematical object exhibits a monodromy action or structure with respect to another (typically along loops in a parameter or base space).
-
C.
hasWeierstrassPoints
Indicates that a given algebraic curve possesses one or more Weierstrass points, i.e., special points where the gap sequence of holomorphic differentials deviates from the generic case.
-
D.
hasSingularSet
Indicates that an entity is associated with exactly one distinct set, rather than multiple sets or none.
-
E.
hasSingularityType
chosen
Indicates that an entity possesses or is characterized by a specific type or category of singularity.
- 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_69d889d3adc881909319f1edb8d2a956 |
completed | April 10, 2026, 5:25 a.m. |
| NER | Named-entity recognition | batch_69e439d5c788819092bdc4d3de0ec958 |
completed | April 19, 2026, 2:11 a.m. |
| PD | Predicate disambiguation | batch_69e3b021a5bc81909ae55406f9d0b37f |
completed | April 18, 2026, 4:24 p.m. |
Created at: April 10, 2026, 5:43 a.m.