Triple
T32258671
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | BEST theorem |
E824089
|
entity |
| Predicate | formulaInvolves |
P173895
|
FINISHED |
| Object | number of spanning in-arborescences rooted at a vertex |
—
|
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: number of spanning in-arborescences rooted at a vertex | Statement: [BEST theorem, formulaInvolves, number of spanning in-arborescences rooted at a vertex]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: formulaInvolves Context triple: [BEST theorem, formulaInvolves, number of spanning in-arborescences rooted at a vertex]
-
A.
formulaUsed
Indicates that a particular formula is employed or applied in performing a calculation, derivation, or reasoning step.
-
B.
mathematicallyExpressedBy
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
C.
formulaType
Indicates the specific kind or category of formula associated with an entity or expression.
-
D.
isFormulatedUsing
Indicates that something is created, defined, or expressed by means of a specified method, material, or set of components.
-
E.
keyFormula
Indicates that a formula serves as the primary or defining expression associated with an entity or relationship.
- F. None of above. chosen
Provenance (4 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_69f3490db0748190bfef6e50c95d39d3 |
completed | April 30, 2026, 12:20 p.m. |
| NER | Named-entity recognition | batch_69f6bc5652e08190b519631b7d497e75 |
completed | May 3, 2026, 3:09 a.m. |
| PD | Predicate disambiguation | batch_69f6b632cf788190a3d0c08cd026b84b |
completed | May 3, 2026, 2:42 a.m. |
| PDg | Predicate description generation | batch_69f6b960ca4081909a77690c2b122f5e |
completed | May 3, 2026, 2:56 a.m. |
Created at: May 1, 2026, 12:41 a.m.