Triple

T13561573
Position Surface form Disambiguated ID Type / Status
Subject Vladimir Arnold E323919 entity
Predicate notableWork P4 FINISHED
Object Mathematical Methods of Classical Mechanics
Mathematical Methods of Classical Mechanics is a highly influential textbook by Vladimir Arnold that presents classical mechanics using rigorous mathematical methods and modern geometric language.
E1046815 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: Mathematical Methods of Classical Mechanics | Statement: [Vladimir Arnold, notableWork, Mathematical Methods of Classical Mechanics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Mathematical Methods of Classical Mechanics
Context triple: [Vladimir Arnold, notableWork, Mathematical Methods of Classical Mechanics]
  • A. mathematical foundations of mechanics
    The mathematical foundations of mechanics comprise the rigorous principles and equations, rooted in calculus and Newtonian laws, that describe and predict the motion and interaction of physical bodies.
  • B. 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.
  • C. Structure and Interpretation of Classical Mechanics
    Structure and Interpretation of Classical Mechanics is a textbook that applies the conceptual and pedagogical style of SICP to advanced classical mechanics, emphasizing computational models and deep understanding of physical principles.
  • D. Hamiltonian mechanics
    Hamiltonian mechanics is a reformulation of classical mechanics that describes physical systems in terms of generalized coordinates and conjugate momenta using a Hamiltonian function, providing a powerful framework for both classical and quantum physics.
  • E. Introduction to Classical Mechanics: With Problems and Solutions
    Introduction to Classical Mechanics: With Problems and Solutions is a widely used advanced undergraduate physics textbook known for its clear exposition and extensive collection of challenging, fully worked mechanics problems.
  • 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: Mathematical Methods of Classical Mechanics
Triple: [Vladimir Arnold, notableWork, Mathematical Methods of Classical Mechanics]
Generated description
Mathematical Methods of Classical Mechanics is a highly influential textbook by Vladimir Arnold that presents classical mechanics using rigorous mathematical methods and modern geometric language.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Mathematical Methods of Classical Mechanics
Target entity description: Mathematical Methods of Classical Mechanics is a highly influential textbook by Vladimir Arnold that presents classical mechanics using rigorous mathematical methods and modern geometric language.
  • A. mathematical foundations of mechanics
    The mathematical foundations of mechanics comprise the rigorous principles and equations, rooted in calculus and Newtonian laws, that describe and predict the motion and interaction of physical bodies.
  • B. 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.
  • C. Structure and Interpretation of Classical Mechanics
    Structure and Interpretation of Classical Mechanics is a textbook that applies the conceptual and pedagogical style of SICP to advanced classical mechanics, emphasizing computational models and deep understanding of physical principles.
  • D. Hamiltonian mechanics
    Hamiltonian mechanics is a reformulation of classical mechanics that describes physical systems in terms of generalized coordinates and conjugate momenta using a Hamiltonian function, providing a powerful framework for both classical and quantum physics.
  • E. Introduction to Classical Mechanics: With Problems and Solutions
    Introduction to Classical Mechanics: With Problems and Solutions is a widely used advanced undergraduate physics textbook known for its clear exposition and extensive collection of challenging, fully worked mechanics problems.
  • 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_69d8076830b48190910a902bae5888e2 completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69dbaff5219081909cf60423e79d278f completed April 12, 2026, 2:45 p.m.
NED1 Entity disambiguation (via context triple) batch_69f75dad601481908de5f266f01f3f49 completed May 3, 2026, 2:37 p.m.
NEDg Description generation batch_69f75f563cfc81909cde4c403ac10a58 completed May 3, 2026, 2:44 p.m.
NED2 Entity disambiguation (via description) batch_69f75fcbf9548190abd74bf4f4ae2e11 completed May 3, 2026, 2:46 p.m.
Created at: April 9, 2026, 9:47 p.m.