Triple
T17341028
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Banach–Mazur distance |
E421065
|
entity |
| Predicate | isLogarithmicallyEquivalentTo |
P127092
|
FINISHED |
| Object | a metric via taking logarithm |
—
|
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: a metric via taking logarithm | Statement: [Banach–Mazur distance, isLogarithmicallyEquivalentTo, a metric via taking logarithm]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isLogarithmicallyEquivalentTo Context triple: [Banach–Mazur distance, isLogarithmicallyEquivalentTo, a metric via taking logarithm]
-
A.
logarithmBaseDetermines
Indicates that the chosen base of a logarithm determines how a quantity is expressed or scaled in logarithmic terms.
-
B.
hasLogarithmicDerivative
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).
-
C.
isLogarithmicallyConvexOn
Indicates that a function defined on a given domain has a logarithm that is convex, meaning the log of the function lies below or on every chord between any two points in that domain.
-
D.
isEquiconsistentWith
Indicates that two formal theories or systems have the same consistency strength, such that if one is consistent then the other is also consistent, and if one is inconsistent then so is the other.
-
E.
isIsomorphicTo
Indicates that two structures have a one-to-one, structure-preserving correspondence between their elements, making them equivalent in form even if not identical in content.
- 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_69d889d3adc881909319f1edb8d2a956 |
completed | April 10, 2026, 5:25 a.m. |
| NER | Named-entity recognition | batch_69e43a15f6488190ad7d489e7391ab12 |
completed | April 19, 2026, 2:12 a.m. |
| PD | Predicate disambiguation | batch_69e3b021a5bc81909ae55406f9d0b37f |
completed | April 18, 2026, 4:24 p.m. |
| PDg | Predicate description generation | batch_69e3b2a225b08190a50f984caa6513b9 |
completed | April 18, 2026, 4:34 p.m. |
Created at: April 10, 2026, 5:44 a.m.