Triple
T16150964
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirac operator |
E391906
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | Clifford algebra |
E801053
|
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: Clifford algebra | Statement: [Dirac operator, relatedTo, Clifford algebra]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Clifford algebra Context triple: [Dirac operator, relatedTo, Clifford algebra]
-
A.
Clifford algebra
chosen
Clifford algebra is an associative algebraic framework that generalizes complex numbers and quaternions to describe geometric transformations and quadratic forms in various dimensions.
-
B.
Grassmann algebra
Grassmann algebra is an algebraic system that extends vector spaces with an antisymmetric product, forming the foundation of exterior algebra and widely used in geometry and physics.
-
C.
geometric algebra
Geometric algebra is a mathematical framework that unifies and extends vector and complex number algebra to elegantly describe geometry, transformations, and physical laws in a single coherent language.
-
D.
spacetime algebra
Spacetime algebra is a mathematical framework based on geometric (Clifford) algebra that unifies and simplifies the description of spacetime and physical laws, particularly in relativity and electromagnetism.
-
E.
geometric calculus
Geometric calculus is a mathematical framework that extends geometric algebra to handle differentiation and integration in a coordinate-free, geometrically intuitive way.
- 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_69d87f1c65e48190aa2b4c472e9bafc4 |
completed | April 10, 2026, 4:39 a.m. |
| NER | Named-entity recognition | batch_69e21d9724808190a8332987583a345a |
completed | April 17, 2026, 11:46 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69fff7a9ebf08190aa21cdff051f4ba2 |
completed | May 10, 2026, 3:12 a.m. |
Created at: April 10, 2026, 5:01 a.m.