Triple
T19050718
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet kernel |
E466248
|
entity |
| Predicate | zeroSet |
P9150
|
FINISHED |
| Object | zeros at x = 2πk/(2n+1), k integer, excluding multiples of 2π |
—
|
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: zeros at x = 2πk/(2n+1), k integer, excluding multiples of 2π | Statement: [Dirichlet kernel, zeroSet, zeros at x = 2πk/(2n+1), k integer, excluding multiples of 2π]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: zeroSet Context triple: [Dirichlet kernel, zeroSet, zeros at x = 2πk/(2n+1), k integer, excluding multiples of 2π]
-
A.
zeroSetNotation
Indicates that something is expressed or represented using the notation for the set containing only the element zero.
-
B.
zeroDefinition
Indicates that something has no defined value, quantity, or specification within the given context.
-
C.
isZeroFor
chosen
Indicates that a given value, expression, or function evaluates to zero when applied to or considered with respect to a specified entity or context.
-
D.
zeroConcept
Indicates a conceptual or abstract entity that has no concrete instances or realizations in the given context.
-
E.
formsZeroPointFor
Indicates that one entity serves as the reference or origin point (zero point) for measuring or defining 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.