Triple
T9843842
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy–Schwarz inequality |
E239290
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object |
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.
|
E827207
|
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: Hermann Amandus Schwarz | Statement: [Cauchy–Schwarz inequality, namedAfter, Hermann Amandus Schwarz]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hermann Amandus Schwarz Context triple: [Cauchy–Schwarz inequality, namedAfter, Hermann Amandus Schwarz]
-
A.
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.
-
B.
Alfred Clebsch
Alfred Clebsch was a 19th-century German mathematician known for his influential work in algebraic geometry and invariant theory.
-
C.
Karl Weierstrass
Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
-
D.
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.
-
E.
Bernhard Riemann
Bernhard Riemann was a 19th-century German mathematician whose groundbreaking work in analysis, number theory, and differential geometry laid the foundations for modern mathematics and general relativity.
- 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: Hermann Amandus Schwarz Triple: [Cauchy–Schwarz inequality, namedAfter, Hermann Amandus Schwarz]
Generated description
Hermann Amandus Schwarz was a German mathematician known for his fundamental contributions to complex analysis and for co-formulating the Cauchy–Schwarz inequality.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Hermann Amandus Schwarz Target entity description: Hermann Amandus Schwarz was a German mathematician known for his fundamental contributions to complex analysis and for co-formulating the Cauchy–Schwarz inequality.
-
A.
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.
-
B.
Alfred Clebsch
Alfred Clebsch was a 19th-century German mathematician known for his influential work in algebraic geometry and invariant theory.
-
C.
Karl Weierstrass
Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
-
D.
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.
-
E.
Bernhard Riemann
Bernhard Riemann was a 19th-century German mathematician whose groundbreaking work in analysis, number theory, and differential geometry laid the foundations for modern mathematics and general relativity.
- 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_69ca84e3f0c48190ada72a65ebd50efd |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cdb35dc29c819080203be5b904dc9d |
completed | April 2, 2026, 12:07 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d1ead49b14819086a9bbd256f298a9 |
completed | April 5, 2026, 4:53 a.m. |
| NEDg | Description generation | batch_69d1eb79be388190853e0e7c29287294 |
completed | April 5, 2026, 4:56 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69d1ebf0a99081908ae0c4bceadc42bc |
completed | April 5, 2026, 4:58 a.m. |
Created at: March 30, 2026, 8:33 p.m.