Triple
T11739848
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lambert series |
E279122
|
entity |
| Predicate | appearsInWorkOf |
P795
|
FINISHED |
| Object |
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.
|
E952741
|
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: Hans Rademacher | Statement: [Lambert series, appearsInWorkOf, Hans Rademacher]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hans Rademacher Context triple: [Lambert series, appearsInWorkOf, Hans Rademacher]
-
A.
Franz Rademacher
Franz Rademacher was a Nazi German diplomat and lawyer who headed the Jewish Affairs desk in the Foreign Office and played a key role in planning and implementing anti-Jewish policies, including deportations and genocide.
-
B.
Heinz Weber
Heinz Weber is a German former professional football goalkeeper known for his career in the Bundesliga and other European leagues.
-
C.
Hermann Weil
Hermann Weil was a German mathematician known for his contributions to number theory, representation theory, and the foundations of modern algebra.
-
D.
Kurt Mahler
Kurt Mahler was a German-born British mathematician renowned for his contributions to number theory and transcendental number theory, including Mahler's classification and Mahler measure.
-
E.
Carl Ludwig Siegel
Carl Ludwig Siegel was a German mathematician renowned for his foundational contributions to number theory, celestial mechanics, and the theory of quadratic forms.
- 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: Hans Rademacher Triple: [Lambert series, appearsInWorkOf, Hans Rademacher]
Generated description
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.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Hans Rademacher Target entity description: 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.
-
A.
Franz Rademacher
Franz Rademacher was a Nazi German diplomat and lawyer who headed the Jewish Affairs desk in the Foreign Office and played a key role in planning and implementing anti-Jewish policies, including deportations and genocide.
-
B.
Heinz Weber
Heinz Weber is a German former professional football goalkeeper known for his career in the Bundesliga and other European leagues.
-
C.
Hermann Weil
Hermann Weil was a German mathematician known for his contributions to number theory, representation theory, and the foundations of modern algebra.
-
D.
Kurt Mahler
Kurt Mahler was a German-born British mathematician renowned for his contributions to number theory and transcendental number theory, including Mahler's classification and Mahler measure.
-
E.
Carl Ludwig Siegel
Carl Ludwig Siegel was a German mathematician renowned for his foundational contributions to number theory, celestial mechanics, and the theory of quadratic forms.
- 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_69d6aaffec6881908bead509e8621742 |
completed | April 8, 2026, 7:22 p.m. |
| NER | Named-entity recognition | batch_69d8a4f025f88190a39280806c9d7c33 |
completed | April 10, 2026, 7:21 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f4174972ac819094f3938b18a5081e |
completed | May 1, 2026, 3 a.m. |
| NEDg | Description generation | batch_69f41f16f43c81909f5d36e8b4b0b9c3 |
completed | May 1, 2026, 3:33 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69f4225a4b5c8190958aaddbd10035b1 |
completed | May 1, 2026, 3:47 a.m. |
Created at: April 8, 2026, 9:41 p.m.