Triple
T9297047
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Chebotarev density theorem |
E223663
|
entity |
| Predicate | givesDensityOf |
P87492
|
FINISHED |
| Object | set of unramified primes with given Frobenius conjugacy class |
—
|
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: set of unramified primes with given Frobenius conjugacy class | Statement: [Chebotarev density theorem, givesDensityOf, set of unramified primes with given Frobenius conjugacy class]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: givesDensityOf Context triple: [Chebotarev density theorem, givesDensityOf, set of unramified primes with given Frobenius conjugacy class]
-
A.
hasMeanDensity
Indicates that one entity possesses a specified average mass per unit volume (mean density).
-
B.
densityComparedTo
Indicates a comparison between the densities of two entities, specifying which is denser or how their densities relate.
-
C.
hasPopulationDensityType
Indicates the classification of an area based on how densely populated it is (e.g., urban, suburban, rural).
-
D.
densityClass
Indicates the classification of an entity based on its density level or range.
-
E.
hasPopulationDensity
Indicates the number of individuals (e.g., people, organisms) per unit area associated with a given entity or region.
- 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_69ca8423edb08190bc0c91287a484768 |
completed | March 30, 2026, 2:09 p.m. |
| NER | Named-entity recognition | batch_69cd089c9c588190967404c9eb938dfb |
completed | April 1, 2026, 11:59 a.m. |
| PD | Predicate disambiguation | batch_69cc7a5aeb748190afb89c6bbd2a6d6f |
completed | April 1, 2026, 1:52 a.m. |
| PDg | Predicate description generation | batch_69cc94b796788190816b71b1e9996288 |
completed | April 1, 2026, 3:44 a.m. |
Created at: March 30, 2026, 7:36 p.m.