Triple

T5229434
Position Surface form Disambiguated ID Type / Status
Subject Klein–Gordon equation E118070 entity
Predicate relatedTo P37 FINISHED
Object Proca equation
The Proca equation is a relativistic wave equation that describes massive spin-1 fields, such as massive vector bosons, in quantum field theory.
 E505996 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: Proca equation | Statement: [Klein–Gordon equation, relatedTo, Proca equation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Proca equation
Context triple: [Klein–Gordon equation, relatedTo, Proca equation]
  • A. Klein–Gordon equation
    The Klein–Gordon equation is a relativistic wave equation that describes spin-0 (scalar) particles in quantum field theory.
  • B. Dirac equation
    The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
  • C. Pauli equation
    The Pauli equation is a non-relativistic quantum mechanical wave equation that extends the Schrödinger equation to include spin-½ particles interacting with electromagnetic fields.
  • D. Dirac field
    The Dirac field is a quantum field describing spin-½ fermions, such as electrons and quarks, incorporating both special relativity and quantum mechanics.
  • E. Einstein–Maxwell equations
    The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
  • 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: Proca equation
Triple: [Klein–Gordon equation, relatedTo, Proca equation]
Generated description
The Proca equation is a relativistic wave equation that describes massive spin-1 fields, such as massive vector bosons, in quantum field theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Proca equation
Target entity description: The Proca equation is a relativistic wave equation that describes massive spin-1 fields, such as massive vector bosons, in quantum field theory.
  • A. Klein–Gordon equation
    The Klein–Gordon equation is a relativistic wave equation that describes spin-0 (scalar) particles in quantum field theory.
  • B. Dirac equation
    The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
  • C. Pauli equation
    The Pauli equation is a non-relativistic quantum mechanical wave equation that extends the Schrödinger equation to include spin-½ particles interacting with electromagnetic fields.
  • D. Dirac field
    The Dirac field is a quantum field describing spin-½ fermions, such as electrons and quarks, incorporating both special relativity and quantum mechanics.
  • E. Einstein–Maxwell equations
    The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
  • 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_69bd4466fb8c819083b806a79414d7e4 completed March 20, 2026, 12:58 p.m.
NER Named-entity recognition batch_69bd7ae006ec8190abd23f650ca5bf53 completed March 20, 2026, 4:50 p.m.
NED1 Entity disambiguation (via context triple) batch_69bef80ca924819095bcc729feb0e464 completed March 21, 2026, 7:57 p.m.
NEDg Description generation batch_69bef8996a208190b9b84b297434c549 completed March 21, 2026, 7:59 p.m.
NED2 Entity disambiguation (via description) batch_69bef935c2288190b2c66e25b8f065bd completed March 21, 2026, 8:01 p.m.
Created at: March 20, 2026, 1:48 p.m.