Triple
T2171593
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riemann–Siegel formula |
E48437
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object |
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.
|
E248763
|
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: Carl Ludwig Siegel | Statement: [Riemann–Siegel formula, namedAfter, Carl Ludwig Siegel]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Carl Ludwig Siegel Context triple: [Riemann–Siegel formula, namedAfter, Carl Ludwig Siegel]
-
A.
Hans Zassenhaus
Hans Zassenhaus was a German mathematician known for his contributions to group theory, algebra, and computational algebra, including the development of the Zassenhaus algorithm and Zassenhaus lemma.
-
B.
Helmut Hasse
Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
-
C.
Max Dehn
Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
-
D.
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.
-
E.
Leopold Kronecker
Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
- 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: Carl Ludwig Siegel Triple: [Riemann–Siegel formula, namedAfter, Carl Ludwig Siegel]
Generated description
Carl Ludwig Siegel was a German mathematician renowned for his foundational contributions to number theory, celestial mechanics, and the theory of quadratic forms.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Carl Ludwig Siegel Target entity description: Carl Ludwig Siegel was a German mathematician renowned for his foundational contributions to number theory, celestial mechanics, and the theory of quadratic forms.
-
A.
Hans Zassenhaus
Hans Zassenhaus was a German mathematician known for his contributions to group theory, algebra, and computational algebra, including the development of the Zassenhaus algorithm and Zassenhaus lemma.
-
B.
Helmut Hasse
Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
-
C.
Max Dehn
Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
-
D.
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.
-
E.
Leopold Kronecker
Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
- 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_69a88aa3faa48190995b233af6525815 |
completed | March 4, 2026, 7:40 p.m. |
| NER | Named-entity recognition | batch_69abbec7f9088190b32127421e340788 |
completed | March 7, 2026, 5:59 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ae6af04e908190a8eaee7500e0b1af |
completed | March 9, 2026, 6:38 a.m. |
| NEDg | Description generation | batch_69ae6b9da51c819085beb79a14f5d8b5 |
completed | March 9, 2026, 6:41 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69ae6c2a465c8190a9fe2a465e9ac3f0 |
completed | March 9, 2026, 6:43 a.m. |
Created at: March 4, 2026, 7:45 p.m.