Triple

T5425349
Position Surface form Disambiguated ID Type / Status
Subject William Thurston E121348 entity
Predicate notableWork P4 FINISHED
Object On the geometry and dynamics of diffeomorphisms of surfaces E518460 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: On the geometry and dynamics of diffeomorphisms of surfaces | Statement: [William Thurston, notableWork, On the geometry and dynamics of diffeomorphisms of surfaces]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: On the geometry and dynamics of diffeomorphisms of surfaces
Context triple: [William Thurston, notableWork, On the geometry and dynamics of diffeomorphisms of surfaces]
  • A. Thurston’s classification of surface diffeomorphisms chosen
    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.
  • B. 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.
  • C. Kakutani equivalence in ergodic theory
    Kakutani equivalence in ergodic theory is a notion of equivalence between measure-preserving dynamical systems based on the isomorphism of their induced transformations on subsets of positive measure.
  • D. Smale horseshoe
    The Smale horseshoe is a fundamental example in dynamical systems theory that illustrates chaotic behavior through a specific stretching-and-folding map of a square into a horseshoe-shaped region.
  • E. Smale’s 18 problems
    Smale’s 18 problems are a celebrated list of major open questions in mathematics proposed by Stephen Smale in 1998 as a successor in spirit to Hilbert’s famous problems.
  • 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_69bd463b58d88190b258261573de9e91 completed March 20, 2026, 1:06 p.m.
NER Named-entity recognition batch_69bd881598448190a9bb456dee36004b completed March 20, 2026, 5:47 p.m.
NED1 Entity disambiguation (via context triple) batch_69bf4125e490819088f70090cf8d81fa completed March 22, 2026, 1:08 a.m.
Created at: March 20, 2026, 2:06 p.m.