Triple
T9637387
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Infeld–van der Waerden formalism |
E232967
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Penrose spinor calculus
Penrose spinor calculus is a mathematical framework that reformulates tensor calculus and general relativity using two-component spinors to simplify and clarify the geometry of spacetime.
|
E811630
|
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: Penrose spinor calculus | Statement: [Infeld–van der Waerden formalism, relatedTo, Penrose spinor calculus]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Penrose spinor calculus Context triple: [Infeld–van der Waerden formalism, relatedTo, Penrose spinor calculus]
-
A.
Newman–Penrose formalism
The Newman–Penrose formalism is a mathematical framework in general relativity that uses null tetrads and spin coefficients to simplify the analysis of spacetime geometry and gravitational radiation.
-
B.
Dirac spinors
Dirac spinors are four-component mathematical objects in relativistic quantum mechanics that describe spin-½ particles, such as electrons, incorporating both their spin and particle–antiparticle degrees of freedom.
-
C.
Geometrical Methods of Mathematical Physics
Geometrical Methods of Mathematical Physics is a widely used textbook that introduces the differential geometric foundations underlying modern theoretical physics, including topics such as manifolds, tensors, and symmetries.
-
D.
Ricci calculus
Ricci calculus is a mathematical framework for tensor analysis on manifolds that underpins much of modern differential geometry and general relativity.
-
E.
Penrose spin networks
Penrose spin networks are combinatorial graphs introduced by Roger Penrose to model quantum geometry and angular momentum in a discrete, pre-spacetime framework.
- 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: Penrose spinor calculus Triple: [Infeld–van der Waerden formalism, relatedTo, Penrose spinor calculus]
Generated description
Penrose spinor calculus is a mathematical framework that reformulates tensor calculus and general relativity using two-component spinors to simplify and clarify the geometry of spacetime.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Penrose spinor calculus Target entity description: Penrose spinor calculus is a mathematical framework that reformulates tensor calculus and general relativity using two-component spinors to simplify and clarify the geometry of spacetime.
-
A.
Newman–Penrose formalism
The Newman–Penrose formalism is a mathematical framework in general relativity that uses null tetrads and spin coefficients to simplify the analysis of spacetime geometry and gravitational radiation.
-
B.
Dirac spinors
Dirac spinors are four-component mathematical objects in relativistic quantum mechanics that describe spin-½ particles, such as electrons, incorporating both their spin and particle–antiparticle degrees of freedom.
-
C.
Geometrical Methods of Mathematical Physics
Geometrical Methods of Mathematical Physics is a widely used textbook that introduces the differential geometric foundations underlying modern theoretical physics, including topics such as manifolds, tensors, and symmetries.
-
D.
Ricci calculus
Ricci calculus is a mathematical framework for tensor analysis on manifolds that underpins much of modern differential geometry and general relativity.
-
E.
Penrose spin networks
Penrose spin networks are combinatorial graphs introduced by Roger Penrose to model quantum geometry and angular momentum in a discrete, pre-spacetime framework.
- 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_69ca848940cc8190b97cec654cb3bb4a |
completed | March 30, 2026, 2:11 p.m. |
| NER | Named-entity recognition | batch_69cd9b5045cc8190ab717f42d803e010 |
completed | April 1, 2026, 10:25 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d1823e32c48190a442b77a0f7c8180 |
completed | April 4, 2026, 9:27 p.m. |
| NEDg | Description generation | batch_69d18393656c81908821ae0d7af83a57 |
completed | April 4, 2026, 9:33 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69d183f733cc8190bbb69c035c1d397a |
completed | April 4, 2026, 9:34 p.m. |
Created at: March 30, 2026, 8:11 p.m.