Triple
T25432561
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Liouville function |
E637296
|
entity |
| Predicate | summatoryFunction |
P43790
|
FINISHED |
| Object | L(x) = ∑_{n ≤ x} λ(n) |
—
|
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: L(x) = ∑_{n ≤ x} λ(n) | Statement: [Liouville function, summatoryFunction, L(x) = ∑_{n ≤ x} λ(n)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: summatoryFunction
Context triple: [Liouville function, summatoryFunction, L(x) = ∑_{n ≤ x} λ(n)]
-
A.
summatoryIdentity
chosen
Indicates that two expressions are identically equal when summed over a specified range, typically expressing an equality between a summation and an equivalent closed-form or alternative summation.
-
B.
massFunction
Indicates a relationship that assigns a quantitative mass value or distribution to an entity or set of entities.
-
C.
activationFunction
Indicates the specific mathematical transformation applied to a neuron's input to produce its output in a computational or neural model.
-
D.
sestetFunction
Indicates the specific structural or thematic role that a sestet (a six-line poetic unit, often the final part of a sonnet) performs within a poem.
-
E.
isSumOf
Indicates that one quantity is the result of adding together two or more other quantities.
- 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_69e75db58a1c8190891b9ff7c2f8414e |
completed | April 21, 2026, 11:21 a.m. |
| NER | Named-entity recognition | batch_69f5f6dc7d088190b1e4c191172ea256 |
completed | May 2, 2026, 1:06 p.m. |
| PD | Predicate disambiguation | batch_69f4683b34748190818428489a226124 |
completed | May 1, 2026, 8:45 a.m. |
Created at: April 21, 2026, 1:58 p.m.