Triple
T16991688
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Non-Euclidean geometry |
E412207
|
entity |
| Predicate | developedBy |
P73
|
FINISHED |
| Object |
Eugenio Beltrami
Eugenio Beltrami was a 19th-century Italian mathematician best known for providing the first rigorous models of non-Euclidean geometry, helping to establish its consistency and significance in modern mathematics.
|
E1244432
|
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: Eugenio Beltrami | Statement: [Non-Euclidean geometry, developedBy, Eugenio Beltrami]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Eugenio Beltrami Context triple: [Non-Euclidean geometry, developedBy, Eugenio Beltrami]
-
A.
Enrico Betti
Enrico Betti was a 19th-century Italian mathematician best known for his foundational work in topology, particularly the introduction of Betti numbers.
-
B.
Ulisse Dini
Ulisse Dini was an Italian mathematician known for his contributions to real analysis and the theory of functions, including Dini's theorem on uniform convergence.
-
C.
Gabriele Loria
Gabriele Loria is an Italian mathematician known for his work in geometry and the history of mathematics.
-
D.
Giovanni Vailati
Giovanni Vailati was an Italian philosopher, logician, and historian of science known for his contributions to pragmatism and the foundations of mathematics at the turn of the 20th century.
-
E.
Johannes Malfatti
Johannes Malfatti is a composer and sound designer known for his atmospheric, minimalist scores for film and documentary, including the soundtrack to Ai Weiwei: The Fake Case.
- 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: Eugenio Beltrami Triple: [Non-Euclidean geometry, developedBy, Eugenio Beltrami]
Generated description
Eugenio Beltrami was a 19th-century Italian mathematician best known for providing the first rigorous models of non-Euclidean geometry, helping to establish its consistency and significance in modern mathematics.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Eugenio Beltrami Target entity description: Eugenio Beltrami was a 19th-century Italian mathematician best known for providing the first rigorous models of non-Euclidean geometry, helping to establish its consistency and significance in modern mathematics.
-
A.
Enrico Betti
Enrico Betti was a 19th-century Italian mathematician best known for his foundational work in topology, particularly the introduction of Betti numbers.
-
B.
Ulisse Dini
Ulisse Dini was an Italian mathematician known for his contributions to real analysis and the theory of functions, including Dini's theorem on uniform convergence.
-
C.
Gabriele Loria
Gabriele Loria is an Italian mathematician known for his work in geometry and the history of mathematics.
-
D.
Giovanni Vailati
Giovanni Vailati was an Italian philosopher, logician, and historian of science known for his contributions to pragmatism and the foundations of mathematics at the turn of the 20th century.
-
E.
Johannes Malfatti
Johannes Malfatti is a composer and sound designer known for his atmospheric, minimalist scores for film and documentary, including the soundtrack to Ai Weiwei: The Fake Case.
- 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_69d886cb581c8190ab05f4b429c9cd85 |
completed | April 10, 2026, 5:12 a.m. |
| NER | Named-entity recognition | batch_69e3d280e3348190a27bd5dc7cf87c0e |
completed | April 18, 2026, 6:50 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a00dc14d5688190945f7ae72f724922 |
completed | May 10, 2026, 7:27 p.m. |
| NEDg | Description generation | batch_6a0114d5aeb0819086f1a5d279ac0d0f |
completed | May 10, 2026, 11:29 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a0115c583608190bf07ac205399f253 |
completed | May 10, 2026, 11:33 p.m. |
Created at: April 10, 2026, 5:32 a.m.