Paper Citation Record · LEDGER

Random matrix theory of integrability-to-chaos transition

As of 4 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2604.03669.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2604.03669 v2

Coverage vector

measured 64 of 64 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-13T12:36:26.378782Z

measured 65 of 65 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T02:57:46.353177Z

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

64 of 64 outbound references displayed

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Outbound references

Observation da7b3701-7c84-4abd-b11e-4b709774a00b · outbound

This paper cites an unresolved cited work.

Random matrix theory of integrability-to-chaos transition Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation 39a18486-fa8d-44b0-b3be-b91cc5340561 · outbound

This paper cites An impor- tant property of this probability distribution is that it is invariant under orthogonal transformations, reflecting the independence of the choice of basis.

Random matrix theory of integrability-to-chaos transition An impor- tant property of this probability distribution is that it is invariant under orthogonal transformations, reflecting the independence of the choice of basis

Reference 2

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Observation e1f815b8-d6fc-486d-bc3a-3f888ec12e71 · outbound

This paper cites Babelon, D.

Random matrix theory of integrability-to-chaos transition Babelon, D

Reference 3

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Observation da2e6f26-6f83-413a-ba4c-609626b4e273 · outbound

This paper cites Remarks on the notion of quantum integrability.

Random matrix theory of integrability-to-chaos transition Remarks on the notion of quantum integrability

Reference 4

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Observation 46df28fe-92f0-4022-8fbe-e876ae0e337f · outbound

This paper cites From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics.

Random matrix theory of integrability-to-chaos transition From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics

Reference 5

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Observation bcd680a1-c1c0-403a-afe3-7ecae4c51712 · outbound

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Random matrix theory of integrability-to-chaos transition Unresolved cited work

Reference 6

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Observation acaec3f9-79bf-4ccc-99a8-69bfde65995d · outbound

This paper cites Bohigas, M.-J.

Random matrix theory of integrability-to-chaos transition Bohigas, M.-J

Reference 7

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Observation 243a4b1a-8461-41b8-afe3-0cf4cc3653e1 · outbound

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Random matrix theory of integrability-to-chaos transition Unresolved cited work

Reference 8

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Observation 8499adb4-a48f-4833-968e-760c72b48d68 · outbound

This paper cites Haller, H.

Random matrix theory of integrability-to-chaos transition Haller, H

Reference 9

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Observation d872e4c1-e54f-4985-938e-1501447ba289 · outbound

This paper cites Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems.

Random matrix theory of integrability-to-chaos transition Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems

Reference 10

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Observation 8b197fb6-be3a-42ae-84a2-4feaa0db3e02 · outbound

This paper cites Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos.

Random matrix theory of integrability-to-chaos transition Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos

Reference 11

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Observation 58c5c3f7-2792-4d1c-bb19-a2c35d4aaa38 · outbound

This paper cites Grobe, F.

Random matrix theory of integrability-to-chaos transition Grobe, F

Reference 12

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Observation 1a1495eb-6fd0-477c-a06d-a47cf4873e0e · outbound

This paper cites Experimental Detection of Dissipative Quantum Chaos.

Random matrix theory of integrability-to-chaos transition Experimental Detection of Dissipative Quantum Chaos

Reference 13

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Observation 373ef9a5-1ebc-44da-b55f-6fd741eda98e · outbound

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Random matrix theory of integrability-to-chaos transition Unresolved cited work

Reference 14

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Observation 488227e2-af88-471b-9f0c-eb0aeba07fc2 · outbound

This paper cites Rosenzweig and C.

Random matrix theory of integrability-to-chaos transition Rosenzweig and C

Reference 15

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Observation e0fac724-b18a-4a84-9c96-c47180c6ff2f · outbound

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Random matrix theory of integrability-to-chaos transition Unresolved cited work

Reference 16

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Observation 49110bbf-1ddf-4465-b15a-cc56552eca63 · outbound

This paper cites Feingold, D.

Random matrix theory of integrability-to-chaos transition Feingold, D

Reference 17

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Observation f4d843ed-b725-4a80-b702-2deece5ade62 · outbound

This paper cites Prosen,Berry-Robnik level statistics in a smooth bil- liard system,J.

Random matrix theory of integrability-to-chaos transition Prosen,Berry-Robnik level statistics in a smooth bil- liard system,J

Reference 18

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Observation 2b8f53eb-627f-4eaa-8519-d5a3bc84c49d · outbound

This paper cites Comment on Energy Level Statistics in the Mixed Regime.

Random matrix theory of integrability-to-chaos transition Comment on Energy Level Statistics in the Mixed Regime

Reference 19

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Observation cb09cf68-50cd-45a4-a015-28a7d3698930 · outbound

This paper cites Spectral statistics across the many-body localization transition.

Random matrix theory of integrability-to-chaos transition Spectral statistics across the many-body localization transition

Reference 20

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Observation 0849ebee-33b6-4c6d-a39a-5df42d21acec · outbound

This paper cites A random matrix model with localization and ergodic transitions.

Random matrix theory of integrability-to-chaos transition A random matrix model with localization and ergodic transitions

Reference 21

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Observation 04768c07-501d-44e0-bfd4-bc9566a153f7 · outbound

This paper cites Level statistics across the many--body localization transition.

Random matrix theory of integrability-to-chaos transition Level statistics across the many--body localization transition

Reference 22

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Observation f9641350-58e3-4701-b3f4-bdaccbadd0c4 · outbound

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Random matrix theory of integrability-to-chaos transition Unresolved cited work

Reference 23

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Observation 0a01fdd8-fb7e-4b94-a087-8dee03876854 · outbound

This paper cites Statistical properties of energy levels of chaotic systems: Wigner or non-Wigner.

Random matrix theory of integrability-to-chaos transition Statistical properties of energy levels of chaotic systems: Wigner or non-Wigner

Reference 24

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Observation 3cc059a5-40a0-4647-9acc-1c07129580f7 · outbound

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Random matrix theory of integrability-to-chaos transition Unresolved cited work

Reference 25

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Observation 7bddd7eb-5f43-4699-9d4e-923c0f170332 · outbound

This paper cites Prosen and M.

Random matrix theory of integrability-to-chaos transition Prosen and M

Reference 26

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Observation 9a93da90-6895-4e5b-8553-b8cfea3a47e6 · outbound

This paper cites On intermediate statistics across many-body localization transition.

Random matrix theory of integrability-to-chaos transition On intermediate statistics across many-body localization transition

Reference 27

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Observation a6f8531e-ca0c-4086-a92d-16458a50e628 · outbound

This paper cites Leyvraz and T.

Random matrix theory of integrability-to-chaos transition Leyvraz and T

Reference 28

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Observation df890faf-1c5b-4f10-9436-0f294c4fd376 · outbound

This paper cites Replica approach to the generalized Rosenzweig-Porter model.

Random matrix theory of integrability-to-chaos transition Replica approach to the generalized Rosenzweig-Porter model

Reference 29

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Observation 96eb3d35-129f-4c8c-aab9-a31655885dae · outbound

This paper cites Zakrzewski,Quantum chaos and level dynamics,En- tropy25(2023) 491.

Random matrix theory of integrability-to-chaos transition Zakrzewski,Quantum chaos and level dynamics,En- tropy25(2023) 491

Reference 30

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Observation 519e4995-2f16-43f5-8879-bd30a77574d9 · outbound

This paper cites Localization of interacting fermions at high temperature.

Random matrix theory of integrability-to-chaos transition Localization of interacting fermions at high temperature

Reference 31

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Observation f3adc937-ad2b-4007-b4eb-aa1688cec734 · outbound

This paper cites The distribution of the ratio of consecutive level spacings in random matrix ensembles.

Random matrix theory of integrability-to-chaos transition The distribution of the ratio of consecutive level spacings in random matrix ensembles

Reference 32

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Observation b767a50c-a067-47b6-a174-23175470dca1 · outbound

This paper cites Quantum resonant systems, integrable and chaotic.

Random matrix theory of integrability-to-chaos transition Quantum resonant systems, integrable and chaotic

Reference 33

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Observation ed0f80e2-9e58-4b79-8923-68a2ca8d426e · outbound

This paper cites Lenz and F.

Random matrix theory of integrability-to-chaos transition Lenz and F

Reference 34

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Observation daeab5c6-df43-4b9c-87da-7004fbdb2c94 · outbound

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Random matrix theory of integrability-to-chaos transition Unresolved cited work

Reference 35

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Observation 16e88c2e-c1c4-4e3b-83f9-042c500c0694 · outbound

This paper cites Crossover from Poisson to Wigner-Dyson Level Statistics in Spin Chains with Integrability Breaking.

Random matrix theory of integrability-to-chaos transition Crossover from Poisson to Wigner-Dyson Level Statistics in Spin Chains with Integrability Breaking

Reference 36

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Observation f017f929-b7c0-4183-bd1d-80d6b6bb9750 · outbound

This paper cites Quantum chaos: an introduction via chains of interacting spins-1/2.

Random matrix theory of integrability-to-chaos transition Quantum chaos: an introduction via chains of interacting spins-1/2

Reference 37

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Observation ea7e9381-48d5-4f46-8248-cb4fe9cb942c · outbound

This paper cites Weak integrability breaking and level spacing distribution.

Random matrix theory of integrability-to-chaos transition Weak integrability breaking and level spacing distribution

Reference 38

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Observation 3102a2bd-9539-4113-ba8d-c7e71ae19620 · outbound

This paper cites Spectral Crossovers and Universality in Quantum Spin-chains Coupled to Random Fields.

Random matrix theory of integrability-to-chaos transition Spectral Crossovers and Universality in Quantum Spin-chains Coupled to Random Fields

Reference 39

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Observation 9966c566-ee69-43dd-bbfc-e2c3010061e1 · outbound

This paper cites Random Matrix Ensemble for the Level Statistics of Many-Body Localization.

Random matrix theory of integrability-to-chaos transition Random Matrix Ensemble for the Level Statistics of Many-Body Localization

Reference 40

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Observation 9e1470a4-0738-4fbf-a56b-4a50df493c32 · outbound

This paper cites Multifractality and self-averaging at the many-body localization transition.

Random matrix theory of integrability-to-chaos transition Multifractality and self-averaging at the many-body localization transition

Reference 41

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Observation 56d90301-e93c-439e-9ec6-975f895fb10c · outbound

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Random matrix theory of integrability-to-chaos transition Unresolved cited work

Reference 42

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Observation 4d581af1-d3f5-41fd-a834-0d437291045b · outbound

This paper cites Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes.

Random matrix theory of integrability-to-chaos transition Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes

Reference 43

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Observation 9abe3270-5da4-4a7e-a27d-20f91809e196 · outbound

This paper cites Solvable cubic resonant systems.

Random matrix theory of integrability-to-chaos transition Solvable cubic resonant systems

Reference 44

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Observation 86898b03-7b17-42f4-a124-a349ec46e5d6 · outbound

This paper cites Time-periodic quantum states of weakly interacting bosons in a harmonic trap.

Random matrix theory of integrability-to-chaos transition Time-periodic quantum states of weakly interacting bosons in a harmonic trap

Reference 45

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Observation befa58cd-e501-4ad1-ab78-7c38631425b5 · outbound

This paper cites Time-periodicities in holographic CFTs.

Random matrix theory of integrability-to-chaos transition Time-periodicities in holographic CFTs

Reference 46

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Observation a91266a5-78f8-45ff-9a47-a6ac0582c338 · outbound

This paper cites A superintegrable quantum field theory.

Random matrix theory of integrability-to-chaos transition A superintegrable quantum field theory

Reference 47

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation a0f79b68-b3a5-440f-a3dd-8ffdd2de5308 · outbound

This paper cites Turbulent cascades in a truncation of the cubic Szego equation and related systems.

Random matrix theory of integrability-to-chaos transition Turbulent cascades in a truncation of the cubic Szego equation and related systems

Reference 48

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Observation 42d95819-2603-434c-a9a2-80ace17d763e · outbound

This paper cites Bounds on quantum evolution complexity via lattice cryptography.

Random matrix theory of integrability-to-chaos transition Bounds on quantum evolution complexity via lattice cryptography

Reference 49

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation ba7356bd-4f68-464e-af77-7615f57c8c84 · outbound

This paper cites Cizeau and J.

Random matrix theory of integrability-to-chaos transition Cizeau and J

Reference 50

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Observation 0bd34fe2-6014-4953-a8b9-0e62a4e294dc · outbound

This paper cites Free Random Levy Matrices.

Random matrix theory of integrability-to-chaos transition Free Random Levy Matrices

Reference 51

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation f0f096eb-98a2-4ad4-903b-ebb588b3cc44 · outbound

This paper cites Level statistics and localization transitions of L\'evy matrices.

Random matrix theory of integrability-to-chaos transition Level statistics and localization transitions of L\'evy matrices

Reference 52

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation 4972d76c-f47c-420d-a0dc-dad43d35ab5d · outbound

This paper cites The L\'evy-Rosenzweig-Porter random matrix ensemble.

Random matrix theory of integrability-to-chaos transition The L\'evy-Rosenzweig-Porter random matrix ensemble

Reference 53

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation 65163959-ad1e-44c9-9a38-1227d5dabbe4 · outbound

This paper cites Multifractality without fine-tuning in a Floquet quasiperiodic chain.

Random matrix theory of integrability-to-chaos transition Multifractality without fine-tuning in a Floquet quasiperiodic chain

Reference 54

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation a02d1ea7-3420-44e3-94f5-248e33268811 · outbound

This paper cites The Many-Body localization transition in the Hilbert space.

Random matrix theory of integrability-to-chaos transition The Many-Body localization transition in the Hilbert space

Reference 55

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation 2a534e04-e993-4d69-8aa1-2644742bf2ef · outbound

This paper cites A constructive theory of the numerically accessible many-body localized to thermal crossover.

Random matrix theory of integrability-to-chaos transition A constructive theory of the numerically accessible many-body localized to thermal crossover

Reference 56

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation fd214837-51b9-46ca-9b73-bc4c819de413 · outbound

This paper cites Statistics of matrix elements of local operators in integrable models.

Random matrix theory of integrability-to-chaos transition Statistics of matrix elements of local operators in integrable models

Reference 57

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation 6329f820-5e2e-4ed8-8087-1fb5a33d4325 · outbound

This paper cites Rottoli and V.

Random matrix theory of integrability-to-chaos transition Rottoli and V

Reference 58

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation 3971171e-89fa-4c34-a156-06a721a77f60 · outbound

This paper cites an unresolved cited work.

Random matrix theory of integrability-to-chaos transition Unresolved cited work

Reference 59

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation 964405e4-ba6f-4bff-a2f4-b0297348b9b3 · outbound

This paper cites Quantum Chaos in Ultracold Collisions of Erbium.

Random matrix theory of integrability-to-chaos transition Quantum Chaos in Ultracold Collisions of Erbium

Reference 60

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation dcd2cb72-5859-4168-bebb-6e788d0603f7 · outbound

This paper cites Measuring Spectral Form Factor in Many-Body Chaotic and Localized Phases of Quantum Processors.

Random matrix theory of integrability-to-chaos transition Measuring Spectral Form Factor in Many-Body Chaotic and Localized Phases of Quantum Processors

Reference 61

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation ed2db248-99c9-4c09-81fa-3af9f3ab1090 · outbound

This paper cites Emergence of chaotic scattering in ultracold Er and Dy.

Random matrix theory of integrability-to-chaos transition Emergence of chaotic scattering in ultracold Er and Dy

Reference 62

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation 0e1bc0f1-f825-415c-8835-9223cd19ea43 · outbound

This paper cites Magnetic Feshbach resonances in Ba$^+$+Li collisions due to strong spin-orbit coupling.

Random matrix theory of integrability-to-chaos transition Magnetic Feshbach resonances in Ba$^+$+Li collisions due to strong spin-orbit coupling

Reference 63

Resolution: unresolved; no resolver link, observed 2026-07-13T12:36:26.378782Z

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Observation 1dc4af68-a83f-4905-990c-219e2a3d71ba · outbound

This paper cites Fast inverse transform sampling in one and two dimensions.

Random matrix theory of integrability-to-chaos transition Fast inverse transform sampling in one and two dimensions

Reference 64

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Pith citing papers

Observation a19cb190-5b3b-40f7-8679-53c8bd829cdf · inbound

Level statistics in the fractal phase of generalized Rosenzweig--Porter models cites this paper.

Level statistics in the fractal phase of generalized Rosenzweig--Porter models Random matrix theory of integrability-to-chaos transition

Reference 16

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