Triple
T10991788
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | uniformization theorem |
E259768
|
entity |
| Predicate | historicallyAssociatedWith |
P2830
|
FINISHED |
| Object |
Paul Koebe
Paul Koebe was a German mathematician known for his foundational contributions to complex analysis, particularly in the development of uniformization and conformal mapping theory.
|
E898492
|
NE FINISHED |
How this triple was built (4 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, historicallyAssociatedWith, Paul Koebe]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Paul Koebe Context triple: [uniformization theorem, historicallyAssociatedWith, Paul Koebe]
-
A.
Kurt Hensel
Kurt Hensel was a German mathematician best known for introducing p-adic numbers, which became fundamental in number theory and algebraic geometry.
-
B.
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.
-
C.
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.
-
D.
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.
-
E.
Max Dehn
Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Paul Koebe Triple: [uniformization theorem, historicallyAssociatedWith, Paul Koebe]
Generated description
Paul Koebe was a German mathematician known for his foundational contributions to complex analysis, particularly in the development of uniformization and conformal mapping theory.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Paul Koebe Target entity description: Paul Koebe was a German mathematician known for his foundational contributions to complex analysis, particularly in the development of uniformization and conformal mapping theory.
-
A.
Kurt Hensel
Kurt Hensel was a German mathematician best known for introducing p-adic numbers, which became fundamental in number theory and algebraic geometry.
-
B.
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.
-
C.
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.
-
D.
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.
-
E.
Max Dehn
Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
- F. None of above. chosen
Provenance (5 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_69e34504ebec8190a78e4795765b0c24 |
completed | April 18, 2026, 8:47 a.m. |
| NEDg | Description generation | batch_69e3556fd3548190a33f04604be947cf |
completed | April 18, 2026, 9:57 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69e3593b0f8481909ed7a90f8bb9839d |
completed | April 18, 2026, 10:13 a.m. |
Created at: April 8, 2026, 9:24 p.m.