Triple
T33761105
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Barnes G-function |
E865106
|
entity |
| Predicate | hasLogDerivative |
P71175
|
FINISHED |
| Object | log G(z+1)= (z/2)log(2π) - (3z^2/4) + O(z log z) as z→∞ (up to constants) |
—
|
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: log G(z+1)= (z/2)log(2π) - (3z^2/4) + O(z log z) as z→∞ (up to constants) | Statement: [Barnes G-function, hasLogDerivative, log G(z+1)= (z/2)log(2π) - (3z^2/4) + O(z log z) as z→∞ (up to constants)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasLogDerivative Context triple: [Barnes G-function, hasLogDerivative, log G(z+1)= (z/2)log(2π) - (3z^2/4) + O(z log z) as z→∞ (up to constants)]
-
A.
hasLogarithmicDerivative
chosen
Indicates that one quantity is the logarithmic derivative of another, i.e., it represents the derivative of the logarithm of a function (or equivalently the derivative of the function divided by the function itself).
-
B.
hasLogLikelihood
Indicates that a particular outcome, event, or data instance is associated with a specified numerical value representing the logarithm of its probability (log-likelihood) under a given model or distribution.
-
C.
hasLogP
Indicates the partition coefficient (logP) value associated with a substance, expressing how it distributes between a hydrophobic (e.g., octanol) and hydrophilic (e.g., water) phase.
-
D.
hasLogisticFunction
Indicates that one entity is responsible for providing, managing, or supporting the logistics operations or services of another entity.
-
E.
hasDerivative
Indicates that one entity is derived, obtained, or produced from another through some transformation, process, or modification.
- 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_69f3498d3b748190aa3c4006c1f32f38 |
completed | April 30, 2026, 12:22 p.m. |
| NER | Named-entity recognition | batch_69fe9b0276d48190b554fa22b043e6d8 |
completed | May 9, 2026, 2:25 a.m. |
| PD | Predicate disambiguation | batch_69fe999692b081909921e1148d66f0ef |
completed | May 9, 2026, 2:19 a.m. |
Created at: May 1, 2026, 1:45 a.m.