Triple
T18480180
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Toeplitz matrix |
E451536
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object |
Otto Toeplitz
Otto Toeplitz was a German mathematician known for his influential work in functional analysis and operator theory, particularly in the study of infinite matrices and what are now called Toeplitz operators.
|
E1327678
|
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: Otto Toeplitz | Statement: [Toeplitz matrix, namedAfter, Otto Toeplitz]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Otto Toeplitz Context triple: [Toeplitz matrix, namedAfter, Otto Toeplitz]
-
A.
Adolf Hurwitz
Adolf Hurwitz was a German mathematician known for his influential work in complex analysis, algebra, and number theory, including foundational contributions to the theory of Riemann surfaces and algebraic functions.
-
B.
Hans Rademacher
Hans Rademacher was a German-American mathematician renowned for his contributions to analytic number theory, particularly in the study of modular forms, partitions, and related series.
-
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.
Salomon Bochner
Salomon Bochner was a prominent 20th-century mathematician known for his influential work in analysis, probability theory, and differential geometry.
-
E.
Ernst Hellinger
Ernst Hellinger was a German mathematician known for his contributions to functional analysis and measure theory, including work that led to the concept now called the Hellinger distance.
- 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: Otto Toeplitz Triple: [Toeplitz matrix, namedAfter, Otto Toeplitz]
Generated description
Otto Toeplitz was a German mathematician known for his influential work in functional analysis and operator theory, particularly in the study of infinite matrices and what are now called Toeplitz operators.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Otto Toeplitz Target entity description: Otto Toeplitz was a German mathematician known for his influential work in functional analysis and operator theory, particularly in the study of infinite matrices and what are now called Toeplitz operators.
-
A.
Adolf Hurwitz
Adolf Hurwitz was a German mathematician known for his influential work in complex analysis, algebra, and number theory, including foundational contributions to the theory of Riemann surfaces and algebraic functions.
-
B.
Hans Rademacher
Hans Rademacher was a German-American mathematician renowned for his contributions to analytic number theory, particularly in the study of modular forms, partitions, and related series.
-
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.
Salomon Bochner
Salomon Bochner was a prominent 20th-century mathematician known for his influential work in analysis, probability theory, and differential geometry.
-
E.
Ernst Hellinger
Ernst Hellinger was a German mathematician known for his contributions to functional analysis and measure theory, including work that led to the concept now called the Hellinger distance.
- 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_69d8d38465a0819099b9b42d2a662ac1 |
completed | April 10, 2026, 10:40 a.m. |
| NER | Named-entity recognition | batch_69e53066a7108190a50eda9b489c90ca |
completed | April 19, 2026, 7:43 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a04713658008190bacb6a16cd6cb719 |
completed | May 13, 2026, 12:40 p.m. |
| NEDg | Description generation | batch_6a0472a21b588190ba1fce35f34166cd |
completed | May 13, 2026, 12:46 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a04743126f88190983910523394649f |
completed | May 13, 2026, 12:53 p.m. |
Created at: April 10, 2026, 11:35 a.m.