Triple
T9843995
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy condensation test |
E239293
|
entity |
| Predicate | convergenceCriterion |
P14357
|
FINISHED |
| Object | sum a_n converges iff sum 2^n a_{2^n} converges |
—
|
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: sum a_n converges iff sum 2^n a_{2^n} converges | Statement: [Cauchy condensation test, convergenceCriterion, sum a_n converges iff sum 2^n a_{2^n} converges]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: convergenceCriterion
Context triple: [Cauchy condensation test, convergenceCriterion, sum a_n converges iff sum 2^n a_{2^n} converges]
-
A.
convergenceProperty
chosen
Indicates that one entity has a convergence-related characteristic or behavior with respect to another entity, such as approaching a limit or stabilizing under repeated application.
-
B.
terminationCondition
Indicates the condition or set of conditions under which an ongoing process, activity, or relationship is brought to an end.
-
C.
formedByConvergenceOf
Indicates that something comes into existence or is created as a result of multiple elements, paths, or processes coming together and uniting.
-
D.
terminalCondition
Indicates the condition or set of conditions under which a process, interaction, or state is considered complete and should terminate.
-
E.
compositionCriterion
Indicates the rule or standard by which components are selected, combined, or arranged to form a whole.
- 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_69ca84e3f0c48190ada72a65ebd50efd |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cdb35dc29c819080203be5b904dc9d |
completed | April 2, 2026, 12:07 a.m. |
| PD | Predicate disambiguation | batch_69cd03e57cac8190914bb5ae608a6e0e |
completed | April 1, 2026, 11:39 a.m. |
Created at: March 30, 2026, 8:33 p.m.