Triple

T36184703
Position Surface form Disambiguated ID Type / Status
Subject Arnold cat map E1046813 entity
Predicate instanceOf P0 FINISHED
Object area-preserving map C62857 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07 
Target class: area-preserving map
Context triple: [Arnold cat map, instanceOf, area-preserving map]
  • A. equal-area projection
    An equal-area projection is a type of map projection that preserves the relative areas of regions on the Earth's surface, ensuring that all depicted regions have correct proportional sizes even though their shapes and angles may be distorted.
  • B. homeomorphism
    A homeomorphism is a continuous bijective function between topological spaces whose inverse is also continuous, establishing a topological equivalence between them.
  • C. map
    A map is a conceptual class that represents a collection of key-value pairs, enabling efficient storage, retrieval, and association of data elements by unique keys.
  • D. cylindrical projection
    A cylindrical projection is a method of mapping the Earth's curved surface onto a cylinder that is then unrolled into a flat map, preserving some spatial properties (such as direction or area) at the expense of others.
  • E. self-homeomorphism of a surface
    A self-homeomorphism of a surface is a continuous bijection from the surface to itself with a continuous inverse, preserving its topological structure.
  • F. None of above. chosen

Provenance (1 batch)

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_69f76e3d4fbc81908c159c7beeb4ce00 completed May 3, 2026, 3:48 p.m.
Created at: May 3, 2026, 4:08 p.m.