Triple

T2136217
Position Surface form Disambiguated ID Type / Status
Subject Wolfgang Pauli E46659 entity
Predicate knownFor P22 FINISHED
Object Pauli–Villars regularization
Pauli–Villars regularization is a technique in quantum field theory that controls ultraviolet divergences by introducing auxiliary heavy fields to render integrals finite.
E237107 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: Pauli–Villars regularization | Statement: [Wolfgang Pauli, knownFor, Pauli–Villars regularization]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Pauli–Villars regularization
Context triple: [Wolfgang Pauli, knownFor, Pauli–Villars regularization]
  • A. Gell-Mann–Low theorem
    The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
  • B. Schwinger–Dyson equations
    The Schwinger–Dyson equations are a set of integral equations in quantum field theory that relate correlation functions and encode the full dynamics of a quantum field.
  • C. Euclidean quantum field theory
    Euclidean quantum field theory is a formulation of quantum field theory in imaginary (Euclidean) time that enables rigorous mathematical treatment and path-integral representations closely connected to statistical mechanics.
  • D. Infeld–van der Waerden formalism
    The Infeld–van der Waerden formalism is a mathematical framework in general relativity that reformulates the theory using spinor calculus to describe gravitational and electromagnetic fields.
  • E. Green–Schwarz mechanism
    The Green–Schwarz mechanism is a key anomaly-cancellation process in string theory that ensures the mathematical consistency of certain superstring models by eliminating gauge and gravitational anomalies.
  • 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: Pauli–Villars regularization
Triple: [Wolfgang Pauli, knownFor, Pauli–Villars regularization]
Generated description
Pauli–Villars regularization is a technique in quantum field theory that controls ultraviolet divergences by introducing auxiliary heavy fields to render integrals finite.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Pauli–Villars regularization
Target entity description: Pauli–Villars regularization is a technique in quantum field theory that controls ultraviolet divergences by introducing auxiliary heavy fields to render integrals finite.
  • A. Gell-Mann–Low theorem
    The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
  • B. Schwinger–Dyson equations
    The Schwinger–Dyson equations are a set of integral equations in quantum field theory that relate correlation functions and encode the full dynamics of a quantum field.
  • C. Euclidean quantum field theory
    Euclidean quantum field theory is a formulation of quantum field theory in imaginary (Euclidean) time that enables rigorous mathematical treatment and path-integral representations closely connected to statistical mechanics.
  • D. Infeld–van der Waerden formalism
    The Infeld–van der Waerden formalism is a mathematical framework in general relativity that reformulates the theory using spinor calculus to describe gravitational and electromagnetic fields.
  • E. Green–Schwarz mechanism
    The Green–Schwarz mechanism is a key anomaly-cancellation process in string theory that ensures the mathematical consistency of certain superstring models by eliminating gauge and gravitational anomalies.
  • 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_69a88a174ab48190a5db20c132e5dccf completed March 4, 2026, 7:37 p.m.
NER Named-entity recognition batch_69abbdc4ce8c81908d143d5451681e6a completed March 7, 2026, 5:55 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae51acc0f88190a580e29d887170ec completed March 9, 2026, 4:50 a.m.
NEDg Description generation batch_69ae5322097c81909d77d54ae258ab1a completed March 9, 2026, 4:57 a.m.
NED2 Entity disambiguation (via description) batch_69ae5365cd808190aa8363b612ef0ec5 completed March 9, 2026, 4:58 a.m.
Created at: March 4, 2026, 7:44 p.m.