Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:47:48.111218Z
Paper Citation Record · LEDGER
The equilibrium distribution function for strongly nonlinear systems
As of 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2507.07600.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
29 of 29 outbound references displayed
- verified exact0
- verified fuzzy29
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- malformed identifier0
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 80cf7e54-00e4-4f4c-8039-585aede1e112 · outbound
This paper cites Route to thermalization in the α-fermi– pasta–ulam system.
The equilibrium distribution function for strongly nonlinear systems Route to thermalization in the α-fermi– pasta–ulam system
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:52.982576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 193a3c5d-4f98-4893-8d51-792f93e7cbe2 · outbound
This paper cites Wave-turbulence origin of the instability of anderson lo- calization against many-body interactions.
The equilibrium distribution function for strongly nonlinear systems Wave-turbulence origin of the instability of anderson lo- calization against many-body interactions
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:52.972909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 23d85465-7872-4a02-9874-eb00b61012dd · outbound
This paper cites Wave turbulence and thermalization in one-dimensional chains.
The equilibrium distribution function for strongly nonlinear systems Wave turbulence and thermalization in one-dimensional chains
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:52.962756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5b4f6fcc-dc3e-40ee-b378-a1403ed45c34 · outbound
This paper cites Universality classes of thermalization and energy diffusion.
The equilibrium distribution function for strongly nonlinear systems Universality classes of thermalization and energy diffusion
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:52.700343Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0a8250d8-b083-4b36-9eb4-05bb38ea99fd · outbound
This paper cites Self-consistent phonon formulation of anharmonic lattice dynamics.
The equilibrium distribution function for strongly nonlinear systems Self-consistent phonon formulation of anharmonic lattice dynamics
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:52.549255Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ce716892-7870-4b72-bbb0-9e15889a1931 · outbound
This paper cites Self-energy of phonons in an anharmonic crystal to o ( λ 4).
The equilibrium distribution function for strongly nonlinear systems Self-energy of phonons in an anharmonic crystal to o ( λ 4)
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:52.461583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f7c5c323-ee83-4eab-8568-550acfcbcede · outbound
This paper cites Self-consistent phonon calculations of lattice dynamical properties in cubic srtio 3 with first-principles anharmonic force con- stants.
The equilibrium distribution function for strongly nonlinear systems Self-consistent phonon calculations of lattice dynamical properties in cubic srtio 3 with first-principles anharmonic force con- stants
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:52.352490Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e25bae55-5807-4ffa-90a9-b205b297c630 · outbound
This paper cites First-principles phonon quasiparticle theory applied to a strongly an- harmonic halide perovskite.
The equilibrium distribution function for strongly nonlinear systems First-principles phonon quasiparticle theory applied to a strongly an- harmonic halide perovskite
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:52.105761Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f8143207-f25f-414d-b70c-d0336a30e9d8 · outbound
This paper cites Anharmonic phonon behavior via irreducible derivatives: Self-consistent per- turbation theory and molecular dynamics.
The equilibrium distribution function for strongly nonlinear systems Anharmonic phonon behavior via irreducible derivatives: Self-consistent per- turbation theory and molecular dynamics
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:51.855909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ad8581bf-1570-412d-a224-dc9239dbaff0 · outbound
This paper cites Tree graphs and classical fields.
The equilibrium distribution function for strongly nonlinear systems Tree graphs and classical fields
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:51.611317Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8e8d7a14-c5fb-452e-b540-0756e421aff7 · outbound
This paper cites Con- servative black hole scattering at fifth post-minkowskian and first self-force order.
The equilibrium distribution function for strongly nonlinear systems Con- servative black hole scattering at fifth post-minkowskian and first self-force order
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:51.371014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 02652274-eccb-49ba-8549-6e4f528c5acd · outbound
This paper cites Schwarzschild metric from scattering amplitudes to all orders in GN.
The equilibrium distribution function for strongly nonlinear systems Schwarzschild metric from scattering amplitudes to all orders in GN
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:51.204520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 24c5d47b-a214-4b06-98bb-7ced17fc255f · outbound
This paper cites Renormalized phonons in nonlinear lat- tices: A variational approach.
The equilibrium distribution function for strongly nonlinear systems Renormalized phonons in nonlinear lat- tices: A variational approach
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:51.029163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c7273e7b-61ec-49cf-97f3-f5470a36e38f · outbound
This paper cites Varia- tional approach to renormalized phonon in momentum- nonconserving nonlinear lattices.
The equilibrium distribution function for strongly nonlinear systems Varia- tional approach to renormalized phonon in momentum- nonconserving nonlinear lattices
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:50.831577Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation be43aa52-7648-43ab-a196-44f5abaf0d95 · outbound
This paper cites Theory of the self-consistent har- monic approximation with application to solid neon.
The equilibrium distribution function for strongly nonlinear systems Theory of the self-consistent har- monic approximation with application to solid neon
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:50.592312Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d85bfc2f-638b-4f4a-add2-fcc2c409e758 · outbound
This paper cites Phonons: Theory and experiments I: Lattice dynamics and Models of interatomic forces, vol- ume 34.
The equilibrium distribution function for strongly nonlinear systems Phonons: Theory and experiments I: Lattice dynamics and Models of interatomic forces, vol- ume 34
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:50.476976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c6dd0abc-44e0-4e95-966b-1fd9a2dfb6a6 · outbound
This paper cites Thermal conductivity of anharmonic lattices: Effective phonons and quantum corrections.
The equilibrium distribution function for strongly nonlinear systems Thermal conductivity of anharmonic lattices: Effective phonons and quantum corrections
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:50.275587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2450822c-db12-4e63-9ed5-1e812ad8eb19 · outbound
This paper cites Origin of negative differential thermal resistance in a chain of two weakly coupled nonlinear lattices.
The equilibrium distribution function for strongly nonlinear systems Origin of negative differential thermal resistance in a chain of two weakly coupled nonlinear lattices
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:50.083866Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 05652c39-257f-4f66-b191-006adce90a4e · outbound
This paper cites Quantum thermal transport through anharmonic sys- tems: A self-consistent approach.
The equilibrium distribution function for strongly nonlinear systems Quantum thermal transport through anharmonic sys- tems: A self-consistent approach
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:49.939324Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1385fdcf-42cc-4ee0-b4ae-de64082fc064 · outbound
This paper cites Anharmonic gr¨ uneisen theory based on self-consistent phonon theory: Impact of phonon- phonon interactions neglected in the quasiharmonic the- 6 ory.
The equilibrium distribution function for strongly nonlinear systems Anharmonic gr¨ uneisen theory based on self-consistent phonon theory: Impact of phonon- phonon interactions neglected in the quasiharmonic the- 6 ory
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:49.762546Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9030a785-b577-48a0-8169-5251d5bcd03b · outbound
This paper cites Wave turbulence , volume 825.
The equilibrium distribution function for strongly nonlinear systems Wave turbulence , volume 825
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:49.589201Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a8ce863d-e99e-4981-b3f0-b50ea6086ce6 · outbound
This paper cites Renor- malized waves and discrete breathers in β-fermi-pasta- ulam chains.
The equilibrium distribution function for strongly nonlinear systems Renor- malized waves and discrete breathers in β-fermi-pasta- ulam chains
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:49.417788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d18f5429-3801-4d35-b9e3-74e8cab680c2 · outbound
This paper cites Effective dispersion in the focusing nonlinear schr¨ odinger equation.Physical Re- view E, 100(2):022215, 2019.
The equilibrium distribution function for strongly nonlinear systems Effective dispersion in the focusing nonlinear schr¨ odinger equation.Physical Re- view E, 100(2):022215, 2019
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:49.247531Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0d918028-6627-4ab1-a3d1-9ee0711c4c3d · outbound
This paper cites Renor- malized resonance quartets in dispersive wave turbulence.
The equilibrium distribution function for strongly nonlinear systems Renor- malized resonance quartets in dispersive wave turbulence
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:49.052241Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 932fd156-e795-4ad0-a78e-3a2c43e91889 · outbound
This paper cites Interac- tions of renormalized waves in thermalized fermi-pasta- ulam chains.
The equilibrium distribution function for strongly nonlinear systems Interac- tions of renormalized waves in thermalized fermi-pasta- ulam chains
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:48.894864Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 43b66e56-8667-4a87-b591-9a63b70246e2 · outbound
This paper cites Double scaling in the relaxation time in the β-fermi-pasta-ulam-tsingou model.
The equilibrium distribution function for strongly nonlinear systems Double scaling in the relaxation time in the β-fermi-pasta-ulam-tsingou model
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:48.741548Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c82b8202-1641-4ff6-b672-f90ef3142a5e · outbound
This paper cites 4-wave dynamics in kinetic wave turbulence.
The equilibrium distribution function for strongly nonlinear systems 4-wave dynamics in kinetic wave turbulence
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:48.540513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation df915167-b1f5-4cca-8282-aa4ac48fc154 · outbound
This paper cites A one-dimensional model for dispersive wave tur- bulence.
The equilibrium distribution function for strongly nonlinear systems A one-dimensional model for dispersive wave tur- bulence
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:48.404980Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5935d98c-d520-4259-9e3e-16fa1a77f5d2 · outbound
This paper cites Studies of the nonlinear problems.
The equilibrium distribution function for strongly nonlinear systems Studies of the nonlinear problems
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:47:48.257556Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
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