Triple
T7743537
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Birch and Swinnerton-Dyer Conjecture |
E175567
|
entity |
| Predicate | relatesConcept |
P463
|
FINISHED |
| Object |
Tamagawa numbers
Tamagawa numbers are arithmetic invariants attached to algebraic groups or elliptic curves that measure certain volume or local factor contributions in number theory, notably appearing in the Birch and Swinnerton-Dyer conjecture.
|
E685697
|
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: Tamagawa numbers | Statement: [Birch and Swinnerton-Dyer Conjecture, relatesConcept, Tamagawa numbers]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Tamagawa numbers Context triple: [Birch and Swinnerton-Dyer Conjecture, relatesConcept, Tamagawa numbers]
-
A.
Namba
Namba is a major commercial and entertainment district in Osaka, Japan, known for its bustling nightlife, shopping, and iconic neon-lit streets.
-
B.
Namba Marui
Namba Marui is a major Marui department store and shopping complex located in Osaka’s bustling Namba district, known for its fashion, dining, and entertainment options.
-
C.
Temwaiku
Temwaiku is a village and district within South Tarawa in Kiribati, known as one of the populated islets forming the country's capital area.
-
D.
Namba Grand Kagetsu
Namba Grand Kagetsu is a famous comedy theater in Osaka, Japan, known as a central venue for Yoshimoto Kogyo’s manzai and variety performances.
-
E.
Eightfold Way
The Eightfold Way is a classification scheme for hadrons in particle physics that organizes them into symmetry-based groups, laying the groundwork for the quark model.
- 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: Tamagawa numbers Triple: [Birch and Swinnerton-Dyer Conjecture, relatesConcept, Tamagawa numbers]
Generated description
Tamagawa numbers are arithmetic invariants attached to algebraic groups or elliptic curves that measure certain volume or local factor contributions in number theory, notably appearing in the Birch and Swinnerton-Dyer conjecture.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Tamagawa numbers Target entity description: Tamagawa numbers are arithmetic invariants attached to algebraic groups or elliptic curves that measure certain volume or local factor contributions in number theory, notably appearing in the Birch and Swinnerton-Dyer conjecture.
-
A.
Namba
Namba is a major commercial and entertainment district in Osaka, Japan, known for its bustling nightlife, shopping, and iconic neon-lit streets.
-
B.
Namba Marui
Namba Marui is a major Marui department store and shopping complex located in Osaka’s bustling Namba district, known for its fashion, dining, and entertainment options.
-
C.
Temwaiku
Temwaiku is a village and district within South Tarawa in Kiribati, known as one of the populated islets forming the country's capital area.
-
D.
Namba Grand Kagetsu
Namba Grand Kagetsu is a famous comedy theater in Osaka, Japan, known as a central venue for Yoshimoto Kogyo’s manzai and variety performances.
-
E.
Eightfold Way
The Eightfold Way is a classification scheme for hadrons in particle physics that organizes them into symmetry-based groups, laying the groundwork for the quark model.
- 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_69c6995f9c60819092e386192bd63c6f |
completed | March 27, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69c70388d58081909aad2c03b4501e78 |
completed | March 27, 2026, 10:24 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c8be48d61c8190aba1e5f23d7cb1be |
completed | March 29, 2026, 5:53 a.m. |
| NEDg | Description generation | batch_69c8bf664390819093c2381ff0f8aaca |
completed | March 29, 2026, 5:57 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c8bff4965881909a341db7d234632a |
completed | March 29, 2026, 6 a.m. |
Created at: March 27, 2026, 4:07 p.m.