Triple
T6801212
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Poincaré–Bendixson theorem |
E156190
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object |
Ivar Bendixson
Ivar Bendixson was a Swedish mathematician known for his contributions to the qualitative theory of differential equations and dynamical systems, including work leading to the Poincaré–Bendixson theorem.
|
E620666
|
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: Ivar Bendixson | Statement: [Poincaré–Bendixson theorem, namedAfter, Ivar Bendixson]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Ivar Bendixson Context triple: [Poincaré–Bendixson theorem, namedAfter, Ivar Bendixson]
-
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.
Ivar Fredholm
Ivar Fredholm was a Swedish mathematician best known for his foundational work on integral equations, which played a key role in the development of functional analysis.
-
C.
Ernst Lindelöf
Ernst Lindelöf was a Finnish mathematician known for his contributions to complex analysis, topology, and the theory of differential equations.
-
D.
Signe Mittag-Leffler
Signe Mittag-Leffler was the wife of Swedish mathematician Gösta Mittag-Leffler and a member of the prominent Mittag-Leffler family connected to academic and cultural life in Sweden.
-
E.
Augustin Ehrensvärd
Augustin Ehrensvärd was an 18th-century Swedish military officer and military architect best known for designing and overseeing the construction of the coastal fortress that became Suomenlinna near Helsinki.
- 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: Ivar Bendixson Triple: [Poincaré–Bendixson theorem, namedAfter, Ivar Bendixson]
Generated description
Ivar Bendixson was a Swedish mathematician known for his contributions to the qualitative theory of differential equations and dynamical systems, including work leading to the Poincaré–Bendixson theorem.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Ivar Bendixson Target entity description: Ivar Bendixson was a Swedish mathematician known for his contributions to the qualitative theory of differential equations and dynamical systems, including work leading to the Poincaré–Bendixson theorem.
-
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.
Ivar Fredholm
Ivar Fredholm was a Swedish mathematician best known for his foundational work on integral equations, which played a key role in the development of functional analysis.
-
C.
Ernst Lindelöf
Ernst Lindelöf was a Finnish mathematician known for his contributions to complex analysis, topology, and the theory of differential equations.
-
D.
Signe Mittag-Leffler
Signe Mittag-Leffler was the wife of Swedish mathematician Gösta Mittag-Leffler and a member of the prominent Mittag-Leffler family connected to academic and cultural life in Sweden.
-
E.
Augustin Ehrensvärd
Augustin Ehrensvärd was an 18th-century Swedish military officer and military architect best known for designing and overseeing the construction of the coastal fortress that became Suomenlinna near Helsinki.
- 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_69c68826e6a48190a3d220b541e639de |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d2e595188190a0bb4b595df3adb2 |
completed | March 27, 2026, 6:56 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c71a9b0cc48190819380aeaf0228e7 |
completed | March 28, 2026, 12:02 a.m. |
| NEDg | Description generation | batch_69c71d64c2fc8190abda8b5a0f57291b |
completed | March 28, 2026, 12:14 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c71f3d4b8081908768c79642266431 |
completed | March 28, 2026, 12:22 a.m. |
Created at: March 27, 2026, 2:16 p.m.