Triple
T33361854
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Liouville's theorem (complex analysis) |
E854242
|
entity |
| Predicate | corollaryOf |
P45604
|
FINISHED |
| Object | Cauchy integral formula and Cauchy estimates |
—
|
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: Cauchy integral formula and Cauchy estimates | Statement: [Liouville's theorem (complex analysis), corollaryOf, Cauchy integral formula and Cauchy estimates]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: corollaryOf Context triple: [Liouville's theorem (complex analysis), corollaryOf, Cauchy integral formula and Cauchy estimates]
-
A.
hasCorollary
chosen
Indicates that one statement, result, or proposition follows as a corollary from another, typically more general, statement.
-
B.
relatedTheorem
Indicates that one theorem is connected to another through a logical, thematic, or derivational relationship.
-
C.
alsoAppealsTo
Indicates that something attracts, interests, or is pleasing to an additional person, group, or audience beyond the primary one.
-
D.
provesTo
Indicates that one entity demonstrates or establishes the truth or validity of something to another entity.
-
E.
hasTheorem
Indicates that one entity (typically a mathematical theory, field, or work) includes, establishes, or is associated with a particular theorem.
- 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_69f3496bda8c8190bfc8fade9d1b791c |
completed | April 30, 2026, 12:22 p.m. |
| NER | Named-entity recognition | batch_69f6e3156ea48190b604e414665ef351 |
completed | May 3, 2026, 5:54 a.m. |
| PD | Predicate disambiguation | batch_69f6de0b9ba48190887c9eb5d06a2e94 |
completed | May 3, 2026, 5:32 a.m. |
Created at: May 1, 2026, 1:34 a.m.