Triple
T12442794
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Luigi Bianchi |
E297317
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Lezioni sulla teoria delle superficie
Lezioni sulla teoria delle superficie is a foundational mathematical treatise on the theory of surfaces written by Italian mathematician Luigi Bianchi.
|
E984865
|
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: Lezioni sulla teoria delle superficie | Statement: [Luigi Bianchi, notableWork, Lezioni sulla teoria delle superficie]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Lezioni sulla teoria delle superficie Context triple: [Luigi Bianchi, notableWork, Lezioni sulla teoria delle superficie]
-
A.
Disquisitiones Generales Circa Superficies Curvas
Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
-
B.
Theorie der algebraischen Kurven
"Theorie der algebraischen Kurven" is a foundational 19th-century mathematical treatise by Julius Plücker that systematically develops the geometry and classification of algebraic curves.
-
C.
Sur les courbes algébriques et les variétés qui s’en déduisent
Sur les courbes algébriques et les variétés qui s’en déduisent is a foundational 1948 monograph by André Weil that helped establish modern algebraic geometry and introduced key ideas leading to the Weil conjectures.
-
D.
Clebsch diagonal surfaces
Clebsch diagonal surfaces are classical 19th-century algebraic surfaces in projective three-space, famous as the first explicit smooth cubic surface with all 27 lines defined over the real numbers.
-
E.
Théorie des intersections et théorème de Riemann–Roch
"Théorie des intersections et théorème de Riemann–Roch" is a volume of the Séminaire de Géométrie Algébrique (SGA 6) that develops the foundations of intersection theory in algebraic geometry and establishes a general form of the Riemann–Roch theorem.
- 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: Lezioni sulla teoria delle superficie Triple: [Luigi Bianchi, notableWork, Lezioni sulla teoria delle superficie]
Generated description
Lezioni sulla teoria delle superficie is a foundational mathematical treatise on the theory of surfaces written by Italian mathematician Luigi Bianchi.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Lezioni sulla teoria delle superficie Target entity description: Lezioni sulla teoria delle superficie is a foundational mathematical treatise on the theory of surfaces written by Italian mathematician Luigi Bianchi.
-
A.
Disquisitiones Generales Circa Superficies Curvas
Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
-
B.
Theorie der algebraischen Kurven
"Theorie der algebraischen Kurven" is a foundational 19th-century mathematical treatise by Julius Plücker that systematically develops the geometry and classification of algebraic curves.
-
C.
Sur les courbes algébriques et les variétés qui s’en déduisent
Sur les courbes algébriques et les variétés qui s’en déduisent is a foundational 1948 monograph by André Weil that helped establish modern algebraic geometry and introduced key ideas leading to the Weil conjectures.
-
D.
Clebsch diagonal surfaces
Clebsch diagonal surfaces are classical 19th-century algebraic surfaces in projective three-space, famous as the first explicit smooth cubic surface with all 27 lines defined over the real numbers.
-
E.
Théorie des intersections et théorème de Riemann–Roch
"Théorie des intersections et théorème de Riemann–Roch" is a volume of the Séminaire de Géométrie Algébrique (SGA 6) that develops the foundations of intersection theory in algebraic geometry and establishes a general form of the Riemann–Roch theorem.
- 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_69d6ada166c48190b902972cd2408fa3 |
completed | April 8, 2026, 7:33 p.m. |
| NER | Named-entity recognition | batch_69d94d8fd9848190a83410353d88ea8d |
completed | April 10, 2026, 7:20 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f63f10926881909ffc641f8d19f93a |
completed | May 2, 2026, 6:14 p.m. |
| NEDg | Description generation | batch_69f640874a0481908d9203b48304d866 |
completed | May 2, 2026, 6:20 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69f641287f888190bc7000c256c362d3 |
completed | May 2, 2026, 6:23 p.m. |
Created at: April 8, 2026, 9:55 p.m.