Triple

T6475545
Position Surface form Disambiguated ID Type / Status
Subject Dennis Sullivan E146060 entity
Predicate hasWork P6260 FINISHED
Object Sullivan dictionary between Kleinian groups and rational maps E596065 NE FINISHED

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: Sullivan dictionary between Kleinian groups and rational maps | Statement: [Dennis Sullivan, hasWork, Sullivan dictionary between Kleinian groups and rational maps]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Sullivan dictionary between Kleinian groups and rational maps
Context triple: [Dennis Sullivan, hasWork, Sullivan dictionary between Kleinian groups and rational maps]
  • A. Sullivan dictionary relating Kleinian groups and complex dynamics chosen
    The Sullivan dictionary relating Kleinian groups and complex dynamics is a conceptual framework that draws deep analogies between the theory of Kleinian groups and the iteration of rational maps, unifying key ideas in geometric group theory and complex dynamical systems.
  • B. Dynamics in One Complex Variable
    Dynamics in One Complex Variable is a foundational graduate-level textbook by John Milnor that introduces and develops the theory of complex dynamical systems, particularly the iteration of rational maps on the Riemann sphere.
  • C. Thurston’s classification of surface diffeomorphisms
    Thurston’s classification of surface diffeomorphisms is a foundational theorem in low-dimensional topology that categorizes self-maps of surfaces into periodic, reducible, or pseudo-Anosov types, profoundly influencing the study of 3-manifolds and dynamical systems.
  • D. Milnor–Thurston kneading theory
    Milnor–Thurston kneading theory is a mathematical framework in one-dimensional dynamical systems that encodes the combinatorial behavior of interval maps to study their dynamics and entropy.
  • E. Kleinian group
    A Kleinian group is a discrete subgroup of Möbius transformations acting on hyperbolic 3-space, central to the study of Riemann surfaces, complex dynamics, and low-dimensional topology.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69c008fec7408190af7b146dc63d9750 completed March 22, 2026, 3:21 p.m.
NER Named-entity recognition batch_69c06a49b3bc8190ad80c6ca2dd15c68 completed March 22, 2026, 10:16 p.m.
NED1 Entity disambiguation (via context triple) batch_69c65fd1db288190b00ba6d7f3aae925 completed March 27, 2026, 10:45 a.m.
Created at: March 22, 2026, 4:50 p.m.