Paper Citation Record · LEDGER

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set

As of 22 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2607.20846.

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

pith.paper-citation-record.v1
2607.20846 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T09:15:07.688475Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T17:24:57.863904Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

verified exact0
verified fuzzy0
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2276812f-5c09-41e1-9e4d-1ae3a657c5de · outbound

This paper cites an unresolved cited work.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:05.059015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec415821-ec2d-4722-b1ab-3efe4d1484c2 · outbound

This paper cites Recursive regularization step for high- order lattice Boltzmann methods.Physical Review E, 96(3):033306, 2017.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Recursive regularization step for high- order lattice Boltzmann methods.Physical Review E, 96(3):033306, 2017

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:05.222572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de41f5c8-3e91-4dbf-b0c3-19b0a0f84a9e · outbound

This paper cites Multiple-relaxation-time lattice Boltzmann models in three dimensions.Philosophical Transactions of the Royal Society of London.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Multiple-relaxation-time lattice Boltzmann models in three dimensions.Philosophical Transactions of the Royal Society of London

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:05.491619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83c09291-53cc-47b4-a891-bf0b57c575ab · outbound

This paper cites Discrete Boltzmann modeling of multiphase flows: Hydrodynamic and thermo- dynamic non-equilibrium effects.Soft Matter, 11(26):5336–5345, 2015.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Discrete Boltzmann modeling of multiphase flows: Hydrodynamic and thermo- dynamic non-equilibrium effects.Soft Matter, 11(26):5336–5345, 2015

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:05.645957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41e6fd8d-57a1-4562-9245-f5c5f9c992af · outbound

This paper cites On the kinetic theory of rarefied gases.Communications on Pure and Applied Mathematics, 2(4):331–407, 1949.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set On the kinetic theory of rarefied gases.Communications on Pure and Applied Mathematics, 2(4):331–407, 1949

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:05.840522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdaecffc-5e16-4306-ad2a-83e2a335ead4 · outbound

This paper cites an unresolved cited work.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:05.990675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30858d55-6b72-4637-a93c-5eac77680ad1 · outbound

This paper cites Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability.Physical Review E, 61(6):6546–6562, 2000.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability.Physical Review E, 61(6):6546–6562, 2000

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:06.169986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc68a33b-3a62-4485-b109-d1e5a7624878 · outbound

This paper cites Theory of the lattice Boltzmann method: Acoustic and thermal properties in two and three dimensions.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Theory of the lattice Boltzmann method: Acoustic and thermal properties in two and three dimensions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:06.333274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07e0c8a4-05b8-48a3-9348-6f3a043c9163 · outbound

This paper cites Linear hydrodynamics and stability of the discrete velocity Boltzmann equations.Journal of Fluid Mechanics, 897:A29, 2020.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Linear hydrodynamics and stability of the discrete velocity Boltzmann equations.Journal of Fluid Mechanics, 897:A29, 2020

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:06.471599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b70da726-b349-4998-89f1-c9ccae711383 · outbound

This paper cites Patil and K.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Patil and K

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:06.655877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3370398c-9d42-4bef-ae1a-72f8e4d50af0 · outbound

This paper cites Finite- volumeschemeforthelatticeBoltzmannmethodonunstructuredmeshes.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Finite- volumeschemeforthelatticeBoltzmannmethodonunstructuredmeshes

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:06.747845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a41dfcbf-e899-499c-a84c-fc9d9ea47071 · outbound

This paper cites Premnath and Sanjoy Banerjee.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Premnath and Sanjoy Banerjee

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:06.926982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7fea04bf-8d9b-4b5e-96c5-a8b00b3820fe · outbound

This paper cites General solution of lattices for cartesian lattice Bhatnagar–Gross–Krook models.Physical Review E, 81(3):036702, 2010.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set General solution of lattices for cartesian lattice Bhatnagar–Gross–Krook models.Physical Review E, 81(3):036702, 2010

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:07.063306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 223111a7-4d89-453a-a91a-0b83a84b4037 · outbound

This paper cites Central-moment-based galilean-invariant multiple- relaxation-time collision model.Physical Review E, 100(4):043308, 2019.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Central-moment-based galilean-invariant multiple- relaxation-time collision model.Physical Review E, 100(4):043308, 2019

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:07.209987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e86b454d-d5e8-4c93-a6bf-0c6f11d4f209 · outbound

This paper cites Discretization of the velocity space in the solution of the Boltzmann equation.Physical Review Letters, 80(1):65–68, 1998.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Discretization of the velocity space in the solution of the Boltzmann equation.Physical Review Letters, 80(1):65–68, 1998

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:07.338097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20c096f9-7542-4f8a-97b5-5171a86f349c · outbound

This paper cites Kinetic theory representation of hydrodynamics: A way beyond the Navier–Stokes equation.Journal of Fluid Mechanics, 550:413–441, 2006.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Kinetic theory representation of hydrodynamics: A way beyond the Navier–Stokes equation.Journal of Fluid Mechanics, 550:413–441, 2006

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:07.406916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55744fe7-e2d9-4dd6-9db1-d1f7e66d81d1 · outbound

This paper cites Accuracy of high-order lattice Boltzmann method for non-equilibrium gas flow.Journal of Fluid Mechanics, 907:A25, 2021.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Accuracy of high-order lattice Boltzmann method for non-equilibrium gas flow.Journal of Fluid Mechanics, 907:A25, 2021

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:07.470006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f31c798b-6715-4273-9133-48acc25096af · outbound

This paper cites Karlin, and Hudong Chen.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Karlin, and Hudong Chen

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:07.518374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c3ac9b0-e4a6-4439-b554-9db79795c149 · outbound

This paper cites Linear stability and isotropy properties of athermal regularized lattice Boltzmann methods.Physical Review E, 102(5):053305, 2020.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set Linear stability and isotropy properties of athermal regularized lattice Boltzmann methods.Physical Review E, 102(5):053305, 2020

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:07.576391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 056648fd-9030-4970-a7c0-9fee905c4bda · outbound

This paper cites A Log-Gaussian Scale-Space Limiter for Hybrid Continuum--Ballistic Gas Dynamics.

Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set A Log-Gaussian Scale-Space Limiter for Hybrid Continuum--Ballistic Gas Dynamics

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T09:15:07.688475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation d639c077-4c6e-4619-8503-b1710eaeeb92 · inbound

Central-Hermite Sensing and Collision for Frame-Robust Order-Resolved Relaxation on D3Q125 cites this paper.

Central-Hermite Sensing and Collision for Frame-Robust Order-Resolved Relaxation on D3Q125 Hierarchical Log-Gaussian Relaxation on a Fixed D3Q125 Velocity Set

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-30T17:24:57.863904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.