Triple
T17671611
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Goro Shimura |
E440532
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object |
Eichler–Shimura theory
Eichler–Shimura theory is a foundational framework in number theory and arithmetic geometry that connects modular forms with the cohomology of modular curves and the theory of elliptic curves.
|
E1281992
|
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: Eichler–Shimura theory | Statement: [Goro Shimura, knownFor, Eichler–Shimura theory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Eichler–Shimura theory Context triple: [Goro Shimura, knownFor, Eichler–Shimura theory]
-
A.
Shimura correspondence
The Shimura correspondence is a fundamental result in number theory that establishes a deep link between modular forms of half-integral weight and modular forms of integral weight, with important applications to L-functions and arithmetic geometry.
-
B.
Shimura varieties
Shimura varieties are higher-dimensional algebraic varieties that generalize modular curves and play a central role in the Langlands program by connecting number theory, automorphic forms, and arithmetic geometry.
-
C.
Shimura reciprocity law
The Shimura reciprocity law is a fundamental result in number theory that generalizes classical reciprocity laws by describing how values of modular functions at complex multiplication (CM) points transform under the action of Galois groups.
-
D.
Fontaine–Mazur conjecture
The Fontaine–Mazur conjecture is a central open problem in number theory that predicts which p-adic Galois representations of number fields arise from geometry or from automorphic forms.
-
E.
Abelian Varieties with Complex Multiplication and Modular Functions
"Abelian Varieties with Complex Multiplication and Modular Functions" is a foundational monograph by Goro Shimura that develops the arithmetic theory of abelian varieties with complex multiplication and their deep connections to modular and automorphic functions.
- 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: Eichler–Shimura theory Triple: [Goro Shimura, knownFor, Eichler–Shimura theory]
Generated description
Eichler–Shimura theory is a foundational framework in number theory and arithmetic geometry that connects modular forms with the cohomology of modular curves and the theory of elliptic curves.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Eichler–Shimura theory Target entity description: Eichler–Shimura theory is a foundational framework in number theory and arithmetic geometry that connects modular forms with the cohomology of modular curves and the theory of elliptic curves.
-
A.
Shimura correspondence
The Shimura correspondence is a fundamental result in number theory that establishes a deep link between modular forms of half-integral weight and modular forms of integral weight, with important applications to L-functions and arithmetic geometry.
-
B.
Shimura varieties
Shimura varieties are higher-dimensional algebraic varieties that generalize modular curves and play a central role in the Langlands program by connecting number theory, automorphic forms, and arithmetic geometry.
-
C.
Shimura reciprocity law
The Shimura reciprocity law is a fundamental result in number theory that generalizes classical reciprocity laws by describing how values of modular functions at complex multiplication (CM) points transform under the action of Galois groups.
-
D.
Fontaine–Mazur conjecture
The Fontaine–Mazur conjecture is a central open problem in number theory that predicts which p-adic Galois representations of number fields arise from geometry or from automorphic forms.
-
E.
Abelian Varieties with Complex Multiplication and Modular Functions
"Abelian Varieties with Complex Multiplication and Modular Functions" is a foundational monograph by Goro Shimura that develops the arithmetic theory of abelian varieties with complex multiplication and their deep connections to modular and automorphic functions.
- 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_69d8b9e87e18819087104a44dc4dc5b1 |
completed | April 10, 2026, 8:50 a.m. |
| NER | Named-entity recognition | batch_69e46f69b11c8190b09add33f81776b3 |
completed | April 19, 2026, 6 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a0223222c748190bb7af6db695190ba |
completed | May 11, 2026, 6:42 p.m. |
| NEDg | Description generation | batch_6a02240c8e988190999e58cd0b8e11b9 |
completed | May 11, 2026, 6:46 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a022486f4e88190999dd3c8a30139bc |
completed | May 11, 2026, 6:48 p.m. |
Created at: April 10, 2026, 9:59 a.m.