Triple
T19050668
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet eta function |
E466247
|
entity |
| Predicate | EulerTransformation |
P134885
|
FINISHED |
| Object | admits Euler summation acceleration |
—
|
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: admits Euler summation acceleration | Statement: [Dirichlet eta function, EulerTransformation, admits Euler summation acceleration]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: EulerTransformation Context triple: [Dirichlet eta function, EulerTransformation, admits Euler summation acceleration]
-
A.
comparedToEuler
Indicates that one entity is being evaluated or measured in relation to Euler, typically by comparing their qualities, achievements, or characteristics.
-
B.
EuclideanFunction
Indicates a relationship defined by a Euclidean distance–based function, typically mapping entities or their attributes to values derived from Euclidean metric properties.
-
C.
hasEulerProduct
Indicates that a mathematical function or object can be expressed as an infinite product over prime numbers (an Euler product), typically reflecting a multiplicative structure.
-
D.
EulerCharacteristic
Indicates the topological invariant of a space that equals, in a suitable decomposition, the alternating sum of the counts of its cells (e.g., vertices − edges + faces).
-
E.
inverseFourierTransform
Indicates the mathematical operation that converts a frequency-domain representation of a signal or function back into its corresponding time- or spatial-domain form.
- 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_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. |
| PDg | Predicate description generation | batch_69e4c0fc3c4c8190abbfe06e1bd3325c |
completed | April 19, 2026, 11:48 a.m. |
Created at: April 10, 2026, 12:03 p.m.