Triple
T5256268
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Carathéodory’s extension theorem |
E118705
|
entity |
| Predicate | holdsUnderCondition |
P61769
|
FINISHED |
| Object | pre-measure is σ-finite (for uniqueness on generated σ-algebra in some formulations) |
—
|
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: pre-measure is σ-finite (for uniqueness on generated σ-algebra in some formulations) | Statement: [Carathéodory’s extension theorem, holdsUnderCondition, pre-measure is σ-finite (for uniqueness on generated σ-algebra in some formulations)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: holdsUnderCondition Context triple: [Carathéodory’s extension theorem, holdsUnderCondition, pre-measure is σ-finite (for uniqueness on generated σ-algebra in some formulations)]
-
A.
holdsUnder
Indicates that one entity maintains possession, control, or validity of another entity subject to certain conditions, constraints, or a specific context.
-
B.
holdsFor
Indicates that a particular relationship or condition remains true over a specified interval or duration of time.
-
C.
holdsIn
Indicates that a relationship, condition, or event is valid or occurs within a specified time interval or temporal context.
-
D.
hasCondition
Indicates that an entity possesses, experiences, or is affected by a particular condition or state.
-
E.
presentCondition
Indicates that an entity currently has or exhibits a particular state, situation, or condition.
- 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_69bd446978108190bb5f9c5c23d93f88 |
completed | March 20, 2026, 12:58 p.m. |
| NER | Named-entity recognition | batch_69bd7ba4ecd88190800b5e4eea3abed5 |
completed | March 20, 2026, 4:53 p.m. |
| PD | Predicate disambiguation | batch_69bd77c30bac8190a883ca45da35d667 |
completed | March 20, 2026, 4:37 p.m. |
| PDg | Predicate description generation | batch_69bd787975788190848ffbac87896efe |
completed | March 20, 2026, 4:40 p.m. |
Created at: March 20, 2026, 1:50 p.m.