Triple
T19050896
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet convolution |
E466252
|
entity |
| Predicate | unitCondition |
P19924
|
FINISHED |
| Object | an arithmetic function is a unit iff f(1) ≠ 0 |
—
|
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: an arithmetic function is a unit iff f(1) ≠ 0 | Statement: [Dirichlet convolution, unitCondition, an arithmetic function is a unit iff f(1) ≠ 0]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: unitCondition Context triple: [Dirichlet convolution, unitCondition, an arithmetic function is a unit iff f(1) ≠ 0]
-
A.
featuresCondition
Indicates that an entity includes, exhibits, or is characterized by a particular condition.
-
B.
coreCondition
chosen
Indicates that something serves as the primary or fundamental condition that must hold for a situation, process, or relationship to apply.
-
C.
modificationCondition
Indicates the specific circumstances or requirements under which a change or modification to something is permitted, triggered, or becomes applicable.
-
D.
supportsCondition
Indicates that one entity helps maintain, enable, or is compatible with a particular condition or state in another entity.
-
E.
usedCondition
Indicates that one entity is employed or applied under a particular state, requirement, or circumstance defined by another entity.
- 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.