Triple

T10313527
Position Surface form Disambiguated ID Type / Status
Subject Herbert Busemann E241955 entity
Predicate notableWork P4 FINISHED
Object Recent Synthetic Differential Geometry
"Recent Synthetic Differential Geometry" is a mathematical work by Herbert Busemann that develops differential geometry using synthetic, axiomatic methods rather than traditional analytic techniques.
 E855795 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: Recent Synthetic Differential Geometry | Statement: [Herbert Busemann, notableWork, Recent Synthetic Differential Geometry]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Recent Synthetic Differential Geometry
Context triple: [Herbert Busemann, notableWork, Recent Synthetic Differential Geometry]
  • A. Archive of Formal Proofs
    The Archive of Formal Proofs is an online, peer-reviewed collection of machine-checked mathematical and computer science proofs formalized primarily in the Isabelle proof assistant.
  • B. Isabelle proof assistant
    Isabelle proof assistant is a widely used interactive theorem prover and generic proof assistant designed for formal verification and mathematical logic, particularly known for its support of higher-order logic.
  • C. The Calculus of Computation
    The Calculus of Computation is a textbook that introduces the mathematical foundations of verification, focusing on logic-based methods for specifying and proving properties of computational systems.
  • D. Isabelle/ML
    Isabelle/ML is the ML-based implementation and extension language used to develop and script the Isabelle interactive theorem prover.
  • E. Topology from the Differentiable Viewpoint
    "Topology from the Differentiable Viewpoint" is a classic introductory monograph on differential topology that presents key concepts such as smooth manifolds, vector bundles, and characteristic classes in a concise and accessible style.
  • 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: Recent Synthetic Differential Geometry
Triple: [Herbert Busemann, notableWork, Recent Synthetic Differential Geometry]
Generated description
"Recent Synthetic Differential Geometry" is a mathematical work by Herbert Busemann that develops differential geometry using synthetic, axiomatic methods rather than traditional analytic techniques.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Recent Synthetic Differential Geometry
Target entity description: "Recent Synthetic Differential Geometry" is a mathematical work by Herbert Busemann that develops differential geometry using synthetic, axiomatic methods rather than traditional analytic techniques.
  • A. Archive of Formal Proofs
    The Archive of Formal Proofs is an online, peer-reviewed collection of machine-checked mathematical and computer science proofs formalized primarily in the Isabelle proof assistant.
  • B. Isabelle proof assistant
    Isabelle proof assistant is a widely used interactive theorem prover and generic proof assistant designed for formal verification and mathematical logic, particularly known for its support of higher-order logic.
  • C. The Calculus of Computation
    The Calculus of Computation is a textbook that introduces the mathematical foundations of verification, focusing on logic-based methods for specifying and proving properties of computational systems.
  • D. Isabelle/ML
    Isabelle/ML is the ML-based implementation and extension language used to develop and script the Isabelle interactive theorem prover.
  • E. Topology from the Differentiable Viewpoint
    "Topology from the Differentiable Viewpoint" is a classic introductory monograph on differential topology that presents key concepts such as smooth manifolds, vector bundles, and characteristic classes in a concise and accessible style.
  • 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_69d381ac38808190a8ca7457c85b625b completed April 6, 2026, 9:49 a.m.
NER Named-entity recognition batch_69d4d35a292c8190bc8c467e522bba92 completed April 7, 2026, 9:50 a.m.
NED1 Entity disambiguation (via context triple) batch_69d71d801978819097293b5c98350fef completed April 9, 2026, 3:31 a.m.
NEDg Description generation batch_69d73186831481909555e2205d8783a7 completed April 9, 2026, 4:56 a.m.
NED2 Entity disambiguation (via description) batch_69d732bfc76c819089287477b54a7b77 completed April 9, 2026, 5:01 a.m.
Created at: April 6, 2026, 11:48 a.m.