Triple
T5256281
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Carathéodory’s theorem in convex geometry |
E118706
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object | Constantin Carathéodory |
E21550
|
NE 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: Constantin Carathéodory | Statement: [Carathéodory’s theorem in convex geometry, namedAfter, Constantin Carathéodory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Constantin Carathéodory Context triple: [Carathéodory’s theorem in convex geometry, 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.
Fritz John
Fritz John was a German-American mathematician renowned for his contributions to partial differential equations, calculus of variations, and functional analysis.
-
C.
Richard Courant
Richard Courant was a German-American mathematician known for his influential work in analysis and partial differential equations and for co-founding the Courant Institute of Mathematical Sciences at New York University.
-
D.
Herbert Busemann
Herbert Busemann was a German-American mathematician known for his influential work in geometry, particularly convex and metric geometry, and for his contributions to the axiomatic foundations of geometry.
-
E.
Rudolf Lipschitz
Rudolf Lipschitz was a 19th-century German mathematician known for foundational work in analysis and differential equations, including the Lipschitz continuity condition that underpins key existence and uniqueness results.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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_69bd446978108190bb5f9c5c23d93f88 |
completed | March 20, 2026, 12:58 p.m. |
| NER | Named-entity recognition | batch_69bd7ba4ecd88190800b5e4eea3abed5 |
completed | March 20, 2026, 4:53 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69bf06bfa5e48190bc9313a39d95531e |
completed | March 21, 2026, 8:59 p.m. |
Created at: March 20, 2026, 1:50 p.m.