Triple
T16892530
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Banach–Alaoglu theorem |
E424210
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object |
Leonidas Alaoglu
Leonidas Alaoglu was a 20th-century mathematician known for his influential work in functional analysis, particularly in topology and the theory of Banach spaces.
|
E1240539
|
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: Leonidas Alaoglu | Statement: [Banach–Alaoglu theorem, namedAfter, Leonidas Alaoglu]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Leonidas Alaoglu Context triple: [Banach–Alaoglu theorem, namedAfter, Leonidas Alaoglu]
-
A.
Hans Lewy
Hans Lewy was a German-American mathematician known for his influential work in partial differential equations and numerical analysis, including co-formulating the Courant–Friedrichs–Lewy (CFL) condition.
-
B.
Christos Papakyriakopoulos
Christos Papakyriakopoulos was a Greek mathematician renowned for his foundational contributions to geometric topology, particularly his rigorous proofs of key results in three-dimensional manifold theory.
-
C.
Béla Szőkefalvi-Nagy
Béla Szőkefalvi-Nagy was a Hungarian mathematician renowned for his contributions to functional analysis and operator theory.
-
D.
Heinz Geiringer
Heinz Geiringer was the son of Holocaust survivor Elfriede Geiringer and stepbrother of Anne Frank, whose family story became intertwined with the legacy of the Frank family after World War II.
-
E.
Lazar Lyusternik
Lazar Lyusternik was a Russian mathematician known for his contributions to topology, variational problems, and the development of the Lusternik–Schnirelmann category in critical point theory.
- 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: Leonidas Alaoglu Triple: [Banach–Alaoglu theorem, namedAfter, Leonidas Alaoglu]
Generated description
Leonidas Alaoglu was a 20th-century mathematician known for his influential work in functional analysis, particularly in topology and the theory of Banach spaces.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Leonidas Alaoglu Target entity description: Leonidas Alaoglu was a 20th-century mathematician known for his influential work in functional analysis, particularly in topology and the theory of Banach spaces.
-
A.
Hans Lewy
Hans Lewy was a German-American mathematician known for his influential work in partial differential equations and numerical analysis, including co-formulating the Courant–Friedrichs–Lewy (CFL) condition.
-
B.
Christos Papakyriakopoulos
Christos Papakyriakopoulos was a Greek mathematician renowned for his foundational contributions to geometric topology, particularly his rigorous proofs of key results in three-dimensional manifold theory.
-
C.
Béla Szőkefalvi-Nagy
Béla Szőkefalvi-Nagy was a Hungarian mathematician renowned for his contributions to functional analysis and operator theory.
-
D.
Heinz Geiringer
Heinz Geiringer was the son of Holocaust survivor Elfriede Geiringer and stepbrother of Anne Frank, whose family story became intertwined with the legacy of the Frank family after World War II.
-
E.
Lazar Lyusternik
Lazar Lyusternik was a Russian mathematician known for his contributions to topology, variational problems, and the development of the Lusternik–Schnirelmann category in critical point theory.
- 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_69d889da3e8c8190a2b118f383f0beac |
completed | April 10, 2026, 5:25 a.m. |
| NER | Named-entity recognition | batch_69e3bbc5a5308190937ebd05356bd91d |
completed | April 18, 2026, 5:13 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a00c7a7fd8481908ef82a13418b1c2d |
completed | May 10, 2026, 6 p.m. |
| NEDg | Description generation | batch_6a00c8f445248190be5f3de196e40f1f |
completed | May 10, 2026, 6:05 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a00cd2bbd9881909f5e216cb6262a72 |
completed | May 10, 2026, 6:23 p.m. |
Created at: April 10, 2026, 5:29 a.m.