Triple
T22150937
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Carathéodory existence theorem |
E547409
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object | Constantin Carathéodory |
—
|
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: Constantin Carathéodory | Statement: [Carathéodory existence theorem, namedAfter, Constantin Carathéodory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Constantin Carathéodory Context triple: [Carathéodory existence theorem, namedAfter, Constantin Carathéodory]
-
A.
Constantin Carathéodory
chosen
Constantin Carathéodory was a prominent Greek-German mathematician known for his influential work in real analysis, the calculus of variations, and the foundations of thermodynamics.
-
B.
Ernst Hellinger
Ernst Hellinger was a German mathematician known for his contributions to functional analysis and measure theory, including work that led to the concept now called the Hellinger distance.
-
C.
Otto Toeplitz
Otto Toeplitz was a German mathematician known for his influential work in functional analysis and operator theory, particularly in the study of infinite matrices and what are now called Toeplitz operators.
-
D.
Fritz John
Fritz John was a German-American mathematician renowned for his contributions to partial differential equations, calculus of variations, and functional analysis.
-
E.
Marcel Grossmann
Marcel Grossmann was a Swiss mathematician and close collaborator of Albert Einstein whose expertise in differential geometry was crucial in formulating the general theory of relativity.
- 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_69e11e3b52088190ad5df386d01eb2fb |
completed | April 16, 2026, 5:36 p.m. |
| NER | Named-entity recognition | batch_69f129f37dac8190a7cecb12f4271515 |
completed | April 28, 2026, 9:43 p.m. |
Created at: April 16, 2026, 8:33 p.m.