Triple
T24600804
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hausdorff measure |
E608815
|
entity |
| Predicate | isSigmaFiniteOn |
P102502
|
FINISHED |
| Object | many natural geometric sets |
—
|
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: many natural geometric sets | Statement: [Hausdorff measure, isSigmaFiniteOn, many natural geometric sets]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isSigmaFiniteOn Context triple: [Hausdorff measure, isSigmaFiniteOn, many natural geometric sets]
-
A.
isSigmaFinite
chosen
Indicates that a measure (or measure space) can be decomposed into a countable union of measurable sets, each having finite measure.
-
B.
isCountablyAdditive
Indicates that a measure or function preserves additivity over countable collections, meaning the value on a countable union of disjoint sets equals the sum of its values on each set.
-
C.
hasFiniteSupport
Indicates that a function, relation, or structure is nonzero or nontrivial at only finitely many elements of its domain.
-
D.
hasNonMeasurableSets
Indicates that within a given set or space, there exist subsets that are not measurable under the specified measure or sigma-algebra.
-
E.
cofiniteVolumeIn
Indicates that one space is embedded in another such that the complement has finite measure or volume.
- 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_69e2c4cf54248190af7b0c2d9ade9830 |
completed | April 17, 2026, 11:39 p.m. |
| NER | Named-entity recognition | batch_69f2be044d4c819094e14eda28d371a7 |
completed | April 30, 2026, 2:27 a.m. |
| PD | Predicate disambiguation | batch_69f2a6ca751c8190a040c10d701ecf3a |
completed | April 30, 2026, 12:48 a.m. |
Created at: April 18, 2026, 2:30 a.m.