Triple
T1057170
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | local existence and uniqueness theorem |
E22820
|
entity |
| Predicate | historicallyAssociatedWith |
P2830
|
FINISHED |
| Object |
Ernst Lindelöf
Ernst Lindelöf was a Finnish mathematician known for his contributions to complex analysis, topology, and the theory of differential equations.
|
E121359
|
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: Ernst Lindelöf | Statement: [local existence and uniqueness theorem, historicallyAssociatedWith, Ernst Lindelöf]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Ernst Lindelöf Context triple: [local existence and uniqueness theorem, historicallyAssociatedWith, Ernst Lindelöf]
-
A.
Gösta Mittag-Leffler
Gösta Mittag-Leffler was a Swedish mathematician known for his foundational work in complex analysis and for founding the journal Acta Mathematica.
-
B.
Gustaf John Ramstedt
Gustaf John Ramstedt was a Finnish linguist and diplomat best known for his pioneering comparative work on Ural-Altaic and especially Mongolic and Turkic languages, and for helping formulate the Altaic language hypothesis.
-
C.
Gunnar Nordström
Gunnar Nordström was a Finnish theoretical physicist known for his early work on scalar theories of gravitation and contributions to the development of general relativity.
-
D.
Heikki Castrén
Heikki Castrén was a Finnish architect best known for co-designing the modernist Toronto City Hall complex in Canada.
-
E.
Matthias Castrén
Matthias Castrén was a 19th-century Finnish linguist and ethnographer known for his pioneering comparative studies of Uralic and related northern Eurasian languages and for helping formulate the early concept of an Altaic language family.
- 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: Ernst Lindelöf Triple: [local existence and uniqueness theorem, historicallyAssociatedWith, Ernst Lindelöf]
Generated description
Ernst Lindelöf was a Finnish mathematician known for his contributions to complex analysis, topology, and the theory of differential equations.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Ernst Lindelöf Target entity description: Ernst Lindelöf was a Finnish mathematician known for his contributions to complex analysis, topology, and the theory of differential equations.
-
A.
Gösta Mittag-Leffler
Gösta Mittag-Leffler was a Swedish mathematician known for his foundational work in complex analysis and for founding the journal Acta Mathematica.
-
B.
Gustaf John Ramstedt
Gustaf John Ramstedt was a Finnish linguist and diplomat best known for his pioneering comparative work on Ural-Altaic and especially Mongolic and Turkic languages, and for helping formulate the Altaic language hypothesis.
-
C.
Gunnar Nordström
Gunnar Nordström was a Finnish theoretical physicist known for his early work on scalar theories of gravitation and contributions to the development of general relativity.
-
D.
Heikki Castrén
Heikki Castrén was a Finnish architect best known for co-designing the modernist Toronto City Hall complex in Canada.
-
E.
Matthias Castrén
Matthias Castrén was a 19th-century Finnish linguist and ethnographer known for his pioneering comparative studies of Uralic and related northern Eurasian languages and for helping formulate the early concept of an Altaic language family.
- 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_69a493dada0481909c43649f9843ea91 |
completed | March 1, 2026, 7:30 p.m. |
| NER | Named-entity recognition | batch_69a4b8da80dc8190b79beaf509910725 |
completed | March 1, 2026, 10:08 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ac3bd110ac8190b66163de42bd3034 |
completed | March 7, 2026, 2:53 p.m. |
| NEDg | Description generation | batch_69ac3d4b32348190883244f2b8af32a0 |
completed | March 7, 2026, 2:59 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69ac3dbf5c70819084a942fc97a9b50f |
completed | March 7, 2026, 3:01 p.m. |
Created at: March 1, 2026, 7:42 p.m.