Triple
T29045108
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Menger's theorem (graph theory) |
E735111
|
entity |
| Predicate | hasGlobalVertexVersionStatement |
P166541
|
FINISHED |
| Object | the vertex connectivity of a finite graph equals the minimum, over all pairs of distinct vertices, of the size of a smallest vertex cut separating them |
—
|
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: the vertex connectivity of a finite graph equals the minimum, over all pairs of distinct vertices, of the size of a smallest vertex cut separating them | Statement: [Menger's theorem (graph theory), hasGlobalVertexVersionStatement, the vertex connectivity of a finite graph equals the minimum, over all pairs of distinct vertices, of the size of a smallest vertex cut separating them]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasGlobalVertexVersionStatement Context triple: [Menger's theorem (graph theory), hasGlobalVertexVersionStatement, the vertex connectivity of a finite graph equals the minimum, over all pairs of distinct vertices, of the size of a smallest vertex cut separating them]
-
A.
hasGapVersion
Indicates that there exists a discontinuity or missing segment between two versions or states of something.
-
B.
hasVersionCount
Indicates the total number of distinct versions associated with a given entity.
-
C.
hasVersionIn
Indicates that one entity exists as a specific version or variant within the context, format, or system represented by another entity.
-
D.
hasVersionType
Indicates that one entity is associated with a specific kind or category of version of another entity.
-
E.
hasStandardVersion
Indicates that one entity serves as the official or canonical version of another entity.
- 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_69f077e64b88819094d37bdbca8191b3 |
completed | April 28, 2026, 9:03 a.m. |
| NER | Named-entity recognition | batch_69f6622808b48190bbabcc75288ab031 |
completed | May 2, 2026, 8:44 p.m. |
| PD | Predicate disambiguation | batch_69f660f082508190a95a7888ad66cb2e |
completed | May 2, 2026, 8:39 p.m. |
| PDg | Predicate description generation | batch_69f6617a7e7c81908cfac4a2250797ee |
completed | May 2, 2026, 8:41 p.m. |
Created at: April 28, 2026, 10:04 a.m.