Triple
T20505638
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | William Burnside |
E503420
|
entity |
| Predicate | publication |
P80
|
FINISHED |
| Object |
Papers on representation theory of finite groups
"Papers on representation theory of finite groups" are William Burnside’s influential mathematical works that helped lay the foundations of modern finite group representation theory.
|
E1434456
|
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: Papers on representation theory of finite groups | Statement: [William Burnside, publication, Papers on representation theory of finite groups]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Papers on representation theory of finite groups Context triple: [William Burnside, publication, Papers on representation theory of finite groups]
-
A.
Representations of groups
Representations of groups is a branch of mathematics that studies how abstract groups can act as linear transformations on vector spaces, typically via homomorphisms into groups of matrices.
-
B.
Methods of Representation Theory
Methods of Representation Theory is a foundational multi-volume work in mathematics that systematically develops the theory of group and algebra representations, coauthored by Israel Gelfand and collaborators.
-
C.
Theory of Groups
Theory of Groups is a foundational textbook in abstract algebra that systematically develops the theory of groups and has been widely used for advanced mathematical study and research.
-
D.
Representation Theory
Representation Theory is a peer-reviewed mathematical research journal focusing on all aspects of representation theory and related areas in algebra and geometry.
-
E.
Representation Theory and Automorphic Functions
"Representation Theory and Automorphic Functions" is a seminal mathematical work by Israel Gelfand that develops the connections between representation theory of groups and the theory of automorphic forms, with deep applications in number theory and harmonic analysis.
- 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: Papers on representation theory of finite groups Triple: [William Burnside, publication, Papers on representation theory of finite groups]
Generated description
"Papers on representation theory of finite groups" are William Burnside’s influential mathematical works that helped lay the foundations of modern finite group representation theory.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Papers on representation theory of finite groups Target entity description: "Papers on representation theory of finite groups" are William Burnside’s influential mathematical works that helped lay the foundations of modern finite group representation theory.
-
A.
Representations of groups
Representations of groups is a branch of mathematics that studies how abstract groups can act as linear transformations on vector spaces, typically via homomorphisms into groups of matrices.
-
B.
Methods of Representation Theory
Methods of Representation Theory is a foundational multi-volume work in mathematics that systematically develops the theory of group and algebra representations, coauthored by Israel Gelfand and collaborators.
-
C.
Theory of Groups
Theory of Groups is a foundational textbook in abstract algebra that systematically develops the theory of groups and has been widely used for advanced mathematical study and research.
-
D.
Representation Theory
Representation Theory is a peer-reviewed mathematical research journal focusing on all aspects of representation theory and related areas in algebra and geometry.
-
E.
Representation Theory and Automorphic Functions
"Representation Theory and Automorphic Functions" is a seminal mathematical work by Israel Gelfand that develops the connections between representation theory of groups and the theory of automorphic forms, with deep applications in number theory and harmonic analysis.
- 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_69e0b4b1e52c8190894281cf7e3283ab |
completed | April 16, 2026, 10:06 a.m. |
| NER | Named-entity recognition | batch_69e69dc66f00819083c804535e045545 |
completed | April 20, 2026, 9:42 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a0893c3839c8190aa20c6644a089a0b |
completed | May 16, 2026, 3:56 p.m. |
| NEDg | Description generation | batch_6a089557444c819080d70a64596900f5 |
completed | May 16, 2026, 4:03 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a0895de2b04819096246c63c3db5513 |
completed | May 16, 2026, 4:05 p.m. |
Created at: April 16, 2026, 11:35 a.m.