Triple
T13070898
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Bernard Malgrange |
E329452
|
entity |
| Predicate | fieldOfWork |
P3
|
FINISHED |
| Object | D-modules |
E934439
|
NE FINISHED |
How this triple was built (2 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: D-modules | Statement: [Bernard Malgrange, fieldOfWork, D-modules]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: D-modules Context triple: [Bernard Malgrange, fieldOfWork, D-modules]
-
A.
theory of D-modules
chosen
The theory of D-modules is a branch of algebraic analysis and algebraic geometry that studies modules over rings of differential operators, providing a powerful framework for understanding systems of linear differential equations and their geometric and representation-theoretic properties.
-
B.
Riemann–Hilbert correspondence
The Riemann–Hilbert correspondence is a fundamental result in mathematics that establishes an equivalence between certain differential equations (or flat connections) on complex manifolds and representations of their fundamental groups, linking analytic and topological data.
-
C.
mixed Hodge structures
Mixed Hodge structures are algebraic structures on cohomology groups that generalize pure Hodge structures by incorporating a weight filtration, allowing the study of varieties with singularities or non-compactness.
-
D.
Bernstein–Sato polynomial
The Bernstein–Sato polynomial is a fundamental object in algebraic analysis and singularity theory that encodes deep information about the behavior of functions and their singularities via differential equations.
-
E.
Beilinson–Bernstein localization theorem
The Beilinson–Bernstein localization theorem is a fundamental result in geometric representation theory that realizes representations of semisimple Lie algebras as sheaves of differential operators on flag varieties, establishing an equivalence between algebraic and geometric categories.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69d80771749c81909a6d9197b9504872 |
completed | April 9, 2026, 8:09 p.m. |
| NER | Named-entity recognition | batch_69d980ee6130819095d835e7ff6a8c5b |
completed | April 10, 2026, 10:59 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f6d60510dc81909e0cba8b63a50d9c |
completed | May 3, 2026, 4:58 a.m. |
Created at: April 9, 2026, 9 p.m.