Triple
T36871225
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kirby calculus |
E911226
|
entity |
| Predicate | Kirby theorem |
P38252
|
FINISHED |
| Object | equivalence of 3-manifolds via surgery corresponds to Kirby moves on framed links |
—
|
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: equivalence of 3-manifolds via surgery corresponds to Kirby moves on framed links | Statement: [Kirby calculus, Kirby theorem, equivalence of 3-manifolds via surgery corresponds to Kirby moves on framed links]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: Kirby theorem Context triple: [Kirby calculus, Kirby theorem, equivalence of 3-manifolds via surgery corresponds to Kirby moves on framed links]
-
A.
hasTheorem
chosen
Indicates that one entity (typically a mathematical theory, field, or work) includes, establishes, or is associated with a particular theorem.
-
B.
relatedTheorem
Indicates that one theorem is connected to another through a logical, thematic, or derivational relationship.
-
C.
homeomorphicTo
Indicates that two topological spaces can be continuously deformed into each other via a bijective, continuous map with a continuous inverse, preserving their topological structure.
-
D.
hasKeyTheorem
Indicates that one entity contains, relies on, or is characterized by a central or foundational theorem associated with the other entity.
-
E.
BlaschkeCondition
Indicates that a sequence of points in the unit disk satisfies the Blaschke condition, meaning the sum of their distances from the boundary (1 − |zₙ|) is finite, ensuring convergence of the associated Blaschke product.
- 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_69f76e82339881909607a65c0503d941 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_69f9fd6834cc8190aa27153d6a99f3bb |
completed | May 5, 2026, 2:23 p.m. |
| PD | Predicate disambiguation | batch_69f7cf7890008190a8bc355ff2d61c86 |
completed | May 3, 2026, 10:43 p.m. |
Created at: May 3, 2026, 4:13 p.m.