Triple
T12597035
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet series |
E300759
|
entity |
| Predicate | coefficientSequence |
P93936
|
FINISHED |
| Object | (a_n)_{n≥1} |
—
|
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: (a_n)_{n≥1} | Statement: [Dirichlet series, coefficientSequence, (a_n)_{n≥1}]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: coefficientSequence
Context triple: [Dirichlet series, coefficientSequence, (a_n)_{n≥1}]
-
A.
coefficientsIn
chosen
Indicates that one entity appears as a coefficient within the mathematical expression or representation of another entity.
-
B.
coefficientSystems
Indicates a relationship where specific numerical or algebraic coefficients are assigned or associated with a system, structure, or set of elements.
-
C.
coefficientProperty
Indicates a relationship where one entity serves as a coefficient or scalar factor that quantitatively modifies or characterizes another entity or property.
-
D.
firstCoefficientProperty
Indicates a property or characteristic specifically associated with the first coefficient in a mathematical or algebraic expression.
-
E.
hasSeriesExpansion
Indicates that a mathematical function or expression is associated with a specific series representation (such as a Taylor or power series) that expands it around a point or region.
- 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_69d7bdea2ca881908f379526c13b1145 |
completed | April 9, 2026, 2:55 p.m. |
| NER | Named-entity recognition | batch_69d954e6e20481908bca684c4b497c48 |
completed | April 10, 2026, 7:52 p.m. |
| PD | Predicate disambiguation | batch_69d95416cbd88190b2c65196162349bc |
completed | April 10, 2026, 7:48 p.m. |
Created at: April 9, 2026, 5:08 p.m.