Triple

T11219205
Position Surface form Disambiguated ID Type / Status
Subject John Milnor E265514 entity
Predicate notableConcept P201 FINISHED
Object Milnor–Thurston kneading theory E265519 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: Milnor–Thurston kneading theory | Statement: [John Milnor, notableConcept, Milnor–Thurston kneading theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Milnor–Thurston kneading theory
Context triple: [John Milnor, notableConcept, Milnor–Thurston kneading theory]
  • A. Milnor–Thurston kneading theory chosen
    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.
  • B. 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.
  • C. Sullivan dictionary relating Kleinian groups and complex dynamics
    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.
  • D. Kakutani–Rokhlin towers
    Kakutani–Rokhlin towers are combinatorial structures in ergodic theory that decompose a measure-preserving transformation into stacked levels (or “towers”) to analyze its dynamical and measure-theoretic properties.
  • E. 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.
  • 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_69d6aac59460819089b9848b27f57848 completed April 8, 2026, 7:21 p.m.
NER Named-entity recognition batch_69d7e8eb84c48190b4f3bede254afde2 completed April 9, 2026, 5:59 p.m.
NED1 Entity disambiguation (via context triple) batch_69e4976f38788190855aed6338d819b7 completed April 19, 2026, 8:50 a.m.
Created at: April 8, 2026, 9:30 p.m.