Triple

T10991306
Position Surface form Disambiguated ID Type / Status
Subject Montgomery's pair correlation conjecture E259758 entity
Predicate relatedTo P37 FINISHED
Object quantum chaos
Quantum chaos is the study of how chaotic behavior in classical systems manifests in their quantum counterparts, particularly through statistical properties of energy levels and wavefunctions.
E898471 NE FINISHED

How this triple was built (4 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: quantum chaos | Statement: [Montgomery's pair correlation conjecture, relatedTo, quantum chaos]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: quantum chaos
Context triple: [Montgomery's pair correlation conjecture, relatedTo, quantum chaos]
  • A. Chaos in Classical and Quantum Mechanics
    "Chaos in Classical and Quantum Mechanics" is a seminal monograph by Martin Gutzwiller that systematically develops the theory of classical chaos and its profound connections to quantum mechanics, particularly through what is now known as the Gutzwiller trace formula.
  • B. Gutzwiller trace formula
    The Gutzwiller trace formula is a semiclassical tool in quantum chaos that links the quantum energy spectrum of a system to the properties of its classical periodic orbits.
  • C. chaos theory
    Chaos theory is a branch of mathematics and physics that studies how small differences in initial conditions can lead to vastly different outcomes in complex, dynamical systems, making long-term prediction effectively impossible.
  • D. Gaussian symplectic ensemble
    The Gaussian symplectic ensemble is a random matrix ensemble of self-dual quaternionic Hermitian matrices used in random matrix theory to model systems with time-reversal symmetry and strong spin–orbit coupling.
  • E. Floquet systems
    Floquet systems are periodically driven quantum or classical systems whose behavior is analyzed using Floquet theory, often exhibiting exotic non-equilibrium phases such as time crystals.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: quantum chaos
Triple: [Montgomery's pair correlation conjecture, relatedTo, quantum chaos]
Generated description
Quantum chaos is the study of how chaotic behavior in classical systems manifests in their quantum counterparts, particularly through statistical properties of energy levels and wavefunctions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: quantum chaos
Target entity description: Quantum chaos is the study of how chaotic behavior in classical systems manifests in their quantum counterparts, particularly through statistical properties of energy levels and wavefunctions.
  • A. Chaos in Classical and Quantum Mechanics
    "Chaos in Classical and Quantum Mechanics" is a seminal monograph by Martin Gutzwiller that systematically develops the theory of classical chaos and its profound connections to quantum mechanics, particularly through what is now known as the Gutzwiller trace formula.
  • B. Gutzwiller trace formula
    The Gutzwiller trace formula is a semiclassical tool in quantum chaos that links the quantum energy spectrum of a system to the properties of its classical periodic orbits.
  • C. chaos theory
    Chaos theory is a branch of mathematics and physics that studies how small differences in initial conditions can lead to vastly different outcomes in complex, dynamical systems, making long-term prediction effectively impossible.
  • D. Gaussian symplectic ensemble
    The Gaussian symplectic ensemble is a random matrix ensemble of self-dual quaternionic Hermitian matrices used in random matrix theory to model systems with time-reversal symmetry and strong spin–orbit coupling.
  • E. Floquet systems
    Floquet systems are periodically driven quantum or classical systems whose behavior is analyzed using Floquet theory, often exhibiting exotic non-equilibrium phases such as time crystals.
  • F. None of above. chosen

Provenance (5 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_69d6aa8a6a548190a750f944ccdc8064 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d795d1e918819090c71f5a077fa15a completed April 9, 2026, 12:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69e34504ebec8190a78e4795765b0c24 completed April 18, 2026, 8:47 a.m.
NEDg Description generation batch_69e3556fd3548190a33f04604be947cf completed April 18, 2026, 9:57 a.m.
NED2 Entity disambiguation (via description) batch_69e3593b0f8481909ed7a90f8bb9839d completed April 18, 2026, 10:13 a.m.
Created at: April 8, 2026, 9:24 p.m.