Triple
T24822341
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Beta function |
E621094
|
entity |
| Predicate | hasDefinitionIntegral |
P2185
|
FINISHED |
| Object | B(x,y)=∫₀¹ t^{x-1}(1-t)^{y-1} dt |
—
|
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: B(x,y)=∫₀¹ t^{x-1}(1-t)^{y-1} dt | Statement: [Beta function, hasDefinitionIntegral, B(x,y)=∫₀¹ t^{x-1}(1-t)^{y-1} dt]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasDefinitionIntegral
Context triple: [Beta function, hasDefinitionIntegral, B(x,y)=∫₀¹ t^{x-1}(1-t)^{y-1} dt]
-
A.
hasIntegralForm
Indicates that one entity is the integral (antiderivative) form or representation of another entity.
-
B.
hasDefinition
chosen
Indicates that one entity provides the meaning, explanation, or definition of another entity.
-
C.
isIntegral
Indicates that a value belongs to the set of integers, having no fractional or decimal component.
-
D.
isIntegralOver
Indicates that one algebraic structure (typically a ring element or extension) satisfies a monic polynomial with coefficients in another ring, expressing that it is algebraically dependent on and “integral over” that base ring.
-
E.
hasIntegralRepresentation
Indicates that one entity can be expressed or represented as an integral involving the other entity.
- 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_69e2fabfd4648190bd0e5c7f4dbb6cab |
completed | April 18, 2026, 3:30 a.m. |
| NER | Named-entity recognition | batch_69f55e519978819087a1676564a74630 |
completed | May 2, 2026, 2:15 a.m. |
| PD | Predicate disambiguation | batch_69f4a0edd10c81908a052ab864d57c54 |
completed | May 1, 2026, 12:47 p.m. |
Created at: April 18, 2026, 5:04 a.m.