Triple
T9843703
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy distribution |
E239287
|
entity |
| Predicate | hasCumulativeDistributionFunction |
P9754
|
FINISHED |
| Object | F(x; x0, γ) = 1/π arctan((x - x0)/γ) + 1/2 |
—
|
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: F(x; x0, γ) = 1/π arctan((x - x0)/γ) + 1/2 | Statement: [Cauchy distribution, hasCumulativeDistributionFunction, F(x; x0, γ) = 1/π arctan((x - x0)/γ) + 1/2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasCumulativeDistributionFunction Context triple: [Cauchy distribution, hasCumulativeDistributionFunction, F(x; x0, γ) = 1/π arctan((x - x0)/γ) + 1/2]
-
A.
hasDistributionFunction
chosen
Indicates that an entity is associated with a specific distribution function that characterizes how its values or occurrences are probabilistically or statistically distributed.
-
B.
hasProbabilityDensityShape
Indicates that one entity exhibits, is characterized by, or is associated with a particular shape or form of a probability density function.
-
C.
hasStatisticalFunctions
Indicates that one entity provides or supports statistical operations or capabilities for another entity.
-
D.
derivativeDistribution
Indicates a relationship where one entity is a financial derivative whose value or payoff is contractually based on, or distributed according to, the performance or characteristics of another underlying entity.
-
E.
hasMomentGeneratingFunction
Indicates that a random variable or probability distribution possesses a well-defined moment generating function characterizing all of its moments.
- 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_69ca84e3f0c48190ada72a65ebd50efd |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cdb35c8e348190aa090c71bf6f30eb |
completed | April 2, 2026, 12:07 a.m. |
| PD | Predicate disambiguation | batch_69cd03e57cac8190914bb5ae608a6e0e |
completed | April 1, 2026, 11:39 a.m. |
Created at: March 30, 2026, 8:33 p.m.