Triple
T15977107
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy functional equation |
E387476
|
entity |
| Predicate | impliesUnderContinuity |
P1661
|
FINISHED |
| Object | f(x) = ax for some constant a |
—
|
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: f(x) = ax for some constant a | Statement: [Cauchy functional equation, impliesUnderContinuity, f(x) = ax for some constant a]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: impliesUnderContinuity Context triple: [Cauchy functional equation, impliesUnderContinuity, f(x) = ax for some constant a]
-
A.
continuityFrom
Indicates that one entity continues, extends, or proceeds directly from another in a seamless or unbroken manner.
-
B.
continuityRelation
Indicates a relationship where one entity directly follows, extends, or maintains an unbroken connection with another in space, time, or logical sequence.
-
C.
continuityPrinciple
Indicates that a relationship or process persists smoothly over time or space without abrupt breaks, gaps, or discontinuities.
-
D.
symbolicContinuity
Indicates that there is a consistent, ongoing use or preservation of the same symbols or symbolic forms across time, contexts, or instances.
-
E.
implies
chosen
Indicates that the truth of one statement guarantees or leads logically to the truth of another statement.
- 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_69d86da94ccc819083d187f5dc6a123e |
completed | April 10, 2026, 3:25 a.m. |
| NER | Named-entity recognition | batch_69e17d4d08f481909f38b75e3f42d9ab |
completed | April 17, 2026, 12:22 a.m. |
| PD | Predicate disambiguation | batch_69e142d9d8e881909b559a3e3ca21d24 |
completed | April 16, 2026, 8:13 p.m. |
Created at: April 10, 2026, 4:54 a.m.