Triple

T14012511
Position Surface form Disambiguated ID Type / Status
Subject Yakov Sinai E337117 entity
Predicate notableConcept P201 FINISHED
Object Sinai–Ruelle–Bowen measure E1073071 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: Sinai–Ruelle–Bowen measure | Statement: [Yakov Sinai, notableConcept, Sinai–Ruelle–Bowen measure]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Sinai–Ruelle–Bowen measure
Context triple: [Yakov Sinai, notableConcept, Sinai–Ruelle–Bowen measure]
  • A. Sinai–Ruelle–Bowen measure chosen
    The Sinai–Ruelle–Bowen measure is an invariant probability measure used in dynamical systems theory to describe the statistical behavior of chaotic systems, particularly those with hyperbolic dynamics.
  • B. Kolmogorov–Sinai entropy
    Kolmogorov–Sinai entropy is a fundamental invariant in dynamical systems theory that quantifies the average rate of information production or unpredictability of a measure-preserving transformation.
  • C. Young tower construction in nonuniformly hyperbolic dynamics
    "Young tower construction in nonuniformly hyperbolic dynamics" is a foundational work in dynamical systems that introduced a powerful tower-based method for analyzing statistical properties such as decay of correlations and limit theorems in nonuniformly hyperbolic 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. 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.
  • 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_69d81c645c5c8190b1fd16a285a1b78a completed April 9, 2026, 9:38 p.m.
NER Named-entity recognition batch_69de2f37d11481909159bdb9e1e8d38e completed April 14, 2026, 12:12 p.m.
NED1 Entity disambiguation (via context triple) batch_69fcb653fedc81908cdd0dde2d3f3329 completed May 7, 2026, 3:57 p.m.
Created at: April 9, 2026, 10:19 p.m.