Triple
T20627353
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Liouville–Arnold theorem |
E506853
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object | Joseph Liouville |
—
|
NE NERFINISHED |
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: Joseph Liouville | Statement: [Liouville–Arnold theorem, namedAfter, Joseph Liouville]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Joseph Liouville Context triple: [Liouville–Arnold theorem, namedAfter, Joseph Liouville]
-
A.
Joseph Liouville
chosen
Joseph Liouville was a 19th-century French mathematician known for foundational contributions to number theory, complex analysis, and the early development of fractional calculus.
-
B.
Charles Hermite
Charles Hermite was a 19th-century French mathematician renowned for his work in number theory, algebra, and analysis, including the first proof that e is a transcendental number.
-
C.
Johannes G. G. Darboux
Johannes G. G. Darboux was a French mathematician known for his influential work in geometry and analysis, including the Darboux theorem and Darboux's law of intermediate values.
-
D.
Thomas Joannes Stieltjes
Thomas Joannes Stieltjes was a Dutch mathematician known for his foundational work in analysis and continued fractions, most notably the development of the Riemann–Stieltjes integral.
-
E.
Georges Valiron
Georges Valiron was a French mathematician known for his influential work in complex analysis and the theory of entire and meromorphic functions.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 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_69e0b4bd4a0081908d4e97a590a33fb2 |
completed | April 16, 2026, 10:06 a.m. |
| NER | Named-entity recognition | batch_69e6abe645888190b639ebedc5b3041a |
completed | April 20, 2026, 10:42 p.m. |
Created at: April 16, 2026, 11:42 a.m.