Triple
T9456597
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | spacetime algebra |
E228029
|
entity |
| Predicate | basedOn |
P98
|
FINISHED |
| Object |
Clifford algebra
Clifford algebra is an associative algebraic framework that generalizes complex numbers and quaternions to describe geometric transformations and quadratic forms in various dimensions.
|
E801053
|
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: Clifford algebra | Statement: [spacetime algebra, basedOn, Clifford algebra]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Clifford algebra Context triple: [spacetime algebra, basedOn, Clifford algebra]
-
A.
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.
-
B.
geometric calculus
Geometric calculus is a mathematical framework that extends geometric algebra to handle differentiation and integration in a coordinate-free, geometrically intuitive way.
-
C.
foundations of geometric algebra as a unified language for physics
Foundations of geometric algebra as a unified language for physics is a mathematical framework that reformulates and streamlines the description of physical theories—such as classical mechanics, electromagnetism, and quantum mechanics—within a single, coherent algebraic system.
-
D.
Lie algebras
Lie algebras are algebraic structures used to study continuous symmetries, especially those arising from Lie groups, via a linearized, infinitesimal perspective.
-
E.
Dirac matrices
Dirac matrices are a set of matrices used in relativistic quantum mechanics to represent spin-½ particles and encode the algebra of the Dirac equation.
- 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: Clifford algebra Triple: [spacetime algebra, basedOn, Clifford algebra]
Generated description
Clifford algebra is an associative algebraic framework that generalizes complex numbers and quaternions to describe geometric transformations and quadratic forms in various dimensions.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Clifford algebra Target entity description: Clifford algebra is an associative algebraic framework that generalizes complex numbers and quaternions to describe geometric transformations and quadratic forms in various dimensions.
-
A.
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.
-
B.
geometric calculus
Geometric calculus is a mathematical framework that extends geometric algebra to handle differentiation and integration in a coordinate-free, geometrically intuitive way.
-
C.
foundations of geometric algebra as a unified language for physics
Foundations of geometric algebra as a unified language for physics is a mathematical framework that reformulates and streamlines the description of physical theories—such as classical mechanics, electromagnetism, and quantum mechanics—within a single, coherent algebraic system.
-
D.
Lie algebras
Lie algebras are algebraic structures used to study continuous symmetries, especially those arising from Lie groups, via a linearized, infinitesimal perspective.
-
E.
Dirac matrices
Dirac matrices are a set of matrices used in relativistic quantum mechanics to represent spin-½ particles and encode the algebra of the Dirac equation.
- 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_69ca843b123881909b0e60028475d12d |
completed | March 30, 2026, 2:10 p.m. |
| NER | Named-entity recognition | batch_69cd7f8f7e1481909318e473ab4d6460 |
completed | April 1, 2026, 8:26 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d122849fec81908a8e7363d6bab4ed |
completed | April 4, 2026, 2:39 p.m. |
| NEDg | Description generation | batch_69d123f710988190a876fab3a1e226d3 |
completed | April 4, 2026, 2:45 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69d1252cd7508190a7d11fce51960290 |
completed | April 4, 2026, 2:50 p.m. |
Created at: March 30, 2026, 7:52 p.m.