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.