Triple

T21145328
Position Surface form Disambiguated ID Type / Status
Subject Kobayashi metric E521038 entity
Predicate relatedConcept P37 FINISHED
Object Carathéodory metric — NE NERFINISHED

How this triple was built (2 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: Carathéodory metric | Statement: [Kobayashi metric, relatedConcept, Carathéodory metric]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Carathéodory metric
Context triple: [Kobayashi metric, relatedConcept, Carathéodory metric]
  • A. Carathéodory metric chosen
    The Carathéodory metric is an intrinsic distance function in complex analysis that measures how far apart points are in a domain based on holomorphic mappings into the unit disk.
  • B. Teichmüller metric
    The Teichmüller metric is a natural Finsler metric on Teichmüller space that measures the minimal quasiconformal distortion needed to deform one Riemann surface into another.
  • C. Poincaré metric
    The Poincaré metric is the canonical complete Riemannian metric of constant negative curvature on simply connected Riemann surfaces like the unit disk or upper half-plane, fundamental in complex analysis and hyperbolic geometry.
  • D. Bergman metric
    The Bergman metric is a canonical Kähler metric on complex domains derived from the Bergman kernel, widely used in several complex variables and complex differential geometry.
  • E. Weil–Petersson metric
    The Weil–Petersson metric is a natural Kähler metric on Teichmüller space, arising from the \(L^2\)-pairing of quadratic differentials and playing a central role in the geometry of moduli spaces of Riemann surfaces.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e0b50c6a848190a4e525a77a319b8a completed April 16, 2026, 10:08 a.m.
NER Named-entity recognition batch_69e723fcdb7c8190ae04d6ad9dff3187 completed April 21, 2026, 7:15 a.m.
Created at: April 16, 2026, 2:58 p.m.