Triple
T8912527
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | F-distribution |
E212217
|
entity |
| Predicate | pdfExpression |
P86341
|
FINISHED |
| Object | f(x; d1, d2) = sqrt(((d1 x)^{d1} d2^{d2}) / ((d1 x + d2)^{d1 + d2})) / (x B(d1/2, d2/2)) for x > 0 |
—
|
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; d1, d2) = sqrt(((d1 x)^{d1} d2^{d2}) / ((d1 x + d2)^{d1 + d2})) / (x B(d1/2, d2/2)) for x > 0 | Statement: [F-distribution, pdfExpression, f(x; d1, d2) = sqrt(((d1 x)^{d1} d2^{d2}) / ((d1 x + d2)^{d1 + d2})) / (x B(d1/2, d2/2)) for x > 0]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: pdfExpression
Context triple: [F-distribution, pdfExpression, f(x; d1, d2) = sqrt(((d1 x)^{d1} d2^{d2}) / ((d1 x + d2)^{d1 + d2})) / (x B(d1/2, d2/2)) for x > 0]
-
A.
paperMillOriginalOperator
Indicates that an entity was the original operator (first operating organization or company) of a given paper mill.
-
B.
hasPaperMill
Indicates that one entity possesses, contains, or is the location of a paper mill.
-
C.
printingLanguage
Indicates the language in which a text, document, or inscription is printed.
-
D.
projectionPrintType
Indicates the method or format by which a projection is printed or rendered (e.g., type or style of the projection output).
-
E.
paperFormAvailability
Indicates whether something is available or provided in a physical paper format.
- 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_69ca8393b1808190bd4336787ffa2c40 |
completed | March 30, 2026, 2:07 p.m. |
| NER | Named-entity recognition | batch_69cc6525d1408190a76522d7c4ac37da |
completed | April 1, 2026, 12:21 a.m. |
| PD | Predicate disambiguation | batch_69cc5ecf55248190a29f00fbf99f13c4 |
completed | March 31, 2026, 11:54 p.m. |
| PDg | Predicate description generation | batch_69cc604965c48190bbb6db0ae8108e67 |
completed | April 1, 2026, 12:01 a.m. |
Created at: March 30, 2026, 6:56 p.m.