Triple
T5212095
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Weyl law |
E117656
|
entity |
| Predicate | hasLeadingCoefficient |
P29150
|
FINISHED |
| Object | (2π)^{-n} times volume of unit ball in R^n times volume of manifold |
—
|
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: (2π)^{-n} times volume of unit ball in R^n times volume of manifold | Statement: [Weyl law, hasLeadingCoefficient, (2π)^{-n} times volume of unit ball in R^n times volume of manifold]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasLeadingCoefficient
Context triple: [Weyl law, hasLeadingCoefficient, (2π)^{-n} times volume of unit ball in R^n times volume of manifold]
-
A.
firstCoefficientProperty
chosen
Indicates a property or characteristic specifically associated with the first coefficient in a mathematical or algebraic expression.
-
B.
hasCharacteristicPolynomial
Indicates that one mathematical object (typically a matrix or linear operator) is associated with a specific characteristic polynomial that encodes its eigenvalue-related properties.
-
C.
coefficientProperty
Indicates a relationship where one entity serves as a coefficient or scalar factor that quantitatively modifies or characterizes another entity or property.
-
D.
hasDerivativeTerm
Indicates that one term is derived or obtained from another term, typically through a transformation, calculation, or logical inference.
-
E.
hasFirstTerm
Indicates that an entity is associated with a specific first term in an ordered sequence, period, or series.
- 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_69bd4464ba3c8190bc16b2ebbe42ddb0 |
completed | March 20, 2026, 12:58 p.m. |
| NER | Named-entity recognition | batch_69bd7a7166848190805152142e184529 |
completed | March 20, 2026, 4:48 p.m. |
| PD | Predicate disambiguation | batch_69bd77bb4e8c819094b5ac7cf61512f9 |
completed | March 20, 2026, 4:37 p.m. |
Created at: March 20, 2026, 1:47 p.m.