Triple
T10991790
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | uniformization theorem |
E259768
|
entity |
| Predicate | provedIndependentlyBy |
P53618
|
FINISHED |
| Object | Paul Koebe |
E898492
|
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: Paul Koebe | Statement: [uniformization theorem, provedIndependentlyBy, Paul Koebe]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Paul Koebe Context triple: [uniformization theorem, provedIndependentlyBy, Paul Koebe]
-
A.
Paul Koebe
chosen
Paul Koebe was a German mathematician known for his foundational contributions to complex analysis, particularly in the development of uniformization and conformal mapping theory.
-
B.
Kurt Hensel
Kurt Hensel was a German mathematician best known for introducing p-adic numbers, which became fundamental in number theory and algebraic geometry.
-
C.
Hermann Amandus Schwarz
Hermann Amandus Schwarz was a German mathematician known for his fundamental contributions to complex analysis and for co-formulating the Cauchy–Schwarz inequality.
-
D.
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.
-
E.
Wilhelm Blaschke
Wilhelm Blaschke was a prominent Austrian mathematician known for his influential work in differential and integral geometry and for mentoring several leading 20th-century geometers.
- 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_69d6aa8a6a548190a750f944ccdc8064 |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d795d1e918819090c71f5a077fa15a |
completed | April 9, 2026, 12:04 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e374639f1481908ea372b81a834f6f |
completed | April 18, 2026, 12:09 p.m. |
Created at: April 8, 2026, 9:24 p.m.