Triple
T19050889
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet convolution |
E466252
|
entity |
| Predicate | isDistributiveOverAddition |
P111915
|
FINISHED |
| Object | true |
—
|
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: true | Statement: [Dirichlet convolution, isDistributiveOverAddition, true]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isDistributiveOverAddition Context triple: [Dirichlet convolution, isDistributiveOverAddition, true]
-
A.
isDistributiveOver
chosen
Indicates that one operation distributes over another, meaning applying it to a combination of elements is equivalent to applying it separately to each element and then combining the results with the second operation.
-
B.
isAdditiveFor
Indicates that one entity can be combined with another in a way that their effects or quantities sum together to produce a cumulative result.
-
C.
isCommutative
Indicates that the result of applying an operation to two entities does not depend on their order (i.e., a ∘ b = b ∘ a).
-
D.
hasDistributionFunction
Indicates that an entity is associated with a specific distribution function that characterizes how its values or occurrences are probabilistically or statistically distributed.
-
E.
isAssociative
Indicates that the grouping of operands does not affect the result of the operation (i.e., (a * b) * c = a * (b * c)).
- 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_69d8dd040fb881909af2a964f65ad208 |
completed | April 10, 2026, 11:20 a.m. |
| NER | Named-entity recognition | batch_69e5dc02597c8190b39fd2c7b7e42258 |
completed | April 20, 2026, 7:55 a.m. |
| PD | Predicate disambiguation | batch_69e4b99633c8819097988608c278ecf8 |
completed | April 19, 2026, 11:16 a.m. |
Created at: April 10, 2026, 12:03 p.m.