Triple
T22964550
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | James Joseph Sylvester |
E571001
|
entity |
| Predicate | hasWork |
P6260
|
FINISHED |
| Object | Papers on matrix theory |
—
|
NE NERFINISHED |
How this triple was built (3 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 matrix theory | Statement: [James Joseph Sylvester, hasWork, Papers on matrix theory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Papers on matrix theory Context triple: [James Joseph Sylvester, hasWork, Papers on matrix theory]
-
A.
Toeplitz matrices
Toeplitz matrices are structured matrices whose entries are constant along each diagonal, playing a central role in operator theory, numerical analysis, and signal processing.
-
B.
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.
-
C.
Hadamard matrices
Hadamard matrices are square matrices with entries ±1 whose rows are mutually orthogonal, playing a key role in combinatorics, coding theory, and signal processing.
-
D.
Moore–Penrose inverse (precursor ideas)
The Moore–Penrose inverse (precursor ideas) refers to E. H. Moore’s early foundational work on generalized matrix inverses, which laid the groundwork for the modern concept of the Moore–Penrose pseudoinverse.
-
E.
A Treatise on the Theory of Determinants
A Treatise on the Theory of Determinants is a foundational mathematical work by Thomas Muir that systematically develops and surveys the theory and applications of determinants.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Papers on matrix theory Target entity description: "Papers on matrix theory" is a collection of influential mathematical works by James Joseph Sylvester that helped lay the foundations of modern matrix theory and linear algebra.
-
A.
Toeplitz matrices
Toeplitz matrices are structured matrices whose entries are constant along each diagonal, playing a central role in operator theory, numerical analysis, and signal processing.
-
B.
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.
-
C.
Hadamard matrices
Hadamard matrices are square matrices with entries ±1 whose rows are mutually orthogonal, playing a key role in combinatorics, coding theory, and signal processing.
-
D.
Moore–Penrose inverse (precursor ideas)
The Moore–Penrose inverse (precursor ideas) refers to E. H. Moore’s early foundational work on generalized matrix inverses, which laid the groundwork for the modern concept of the Moore–Penrose pseudoinverse.
-
E.
A Treatise on the Theory of Determinants
A Treatise on the Theory of Determinants is a foundational mathematical work by Thomas Muir that systematically develops and surveys the theory and applications of determinants.
- F. None of above. chosen
Provenance (2 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_69e245b212a88190b5259caf51606084 |
completed | April 17, 2026, 2:37 p.m. |
| NER | Named-entity recognition | batch_69f181f763688190aab8f444a1a71577 |
completed | April 29, 2026, 3:58 a.m. |
Created at: April 17, 2026, 3:47 p.m.