Paper Citation Record · LEDGER

A symmetric relaxation method for entire two-dimensional cellular networks and its implications

As of 18 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2606.18604.

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

pith.paper-citation-record.v1
2606.18604 v1

Coverage vector

measured 33 of 33 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-26T18:57:00.563820Z

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

33 of 33 outbound references displayed

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Outbound references

Observation 9e00c0cb-0c3f-412b-a861-7f0586e42d6e · outbound

This paper cites The Perimeter-Area Relation.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications The Perimeter-Area Relation

Reference 1

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Observation 26880e6a-c47b-41b8-bf70-b9ac3d8965ce · outbound

This paper cites Soap, cells and statistics —random patterns in two dimensions.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Soap, cells and statistics —random patterns in two dimensions

Reference 2

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Observation ee42ccce-1098-4ce0-ae67-ca679f3748ea · outbound

This paper cites The kinetics of cellular patterns.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications The kinetics of cellular patterns

Reference 3

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This paper cites Equilibrium states and ground state of two-dimensional fluid foams.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Equilibrium states and ground state of two-dimensional fluid foams

Reference 4

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Observation 9a040ae3-3f00-472e-a467-afb199b1febd · outbound

This paper cites Topological correlations in Bénard -Marangoni convective structures.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Topological correlations in Bénard -Marangoni convective structures

Reference 5

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Observation 9da41055-5bbb-4549-af84-b54749b58b37 · outbound

This paper cites Boundary effects in biological planar networks: pentagons dominate Pyropia marginal cells.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Boundary effects in biological planar networks: pentagons dominate Pyropia marginal cells

Reference 6

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Observation eb186270-fd7e-4d78-b4f1-2cba4623c6c7 · outbound

This paper cites Vertex models capturing subcellular scales in epithelial tissues.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Vertex models capturing subcellular scales in epithelial tissues

Reference 7

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Observation 0ec1bf14-009a-4a08-82b6-7b56a54c03b1 · outbound

This paper cites Vertex stability and topological transitions in vertex models of foams and epithelia.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Vertex stability and topological transitions in vertex models of foams and epithelia

Reference 8

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Observation e1db2c49-1368-4187-a7db-5745a097ca55 · outbound

This paper cites Vertex models of epithelial morphogenesis.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Vertex models of epithelial morphogenesis

Reference 9

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This paper cites A curvature -driven vertex model for two-dimensional grain growth.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications A curvature -driven vertex model for two-dimensional grain growth

Reference 10

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Observation 705f9656-e196-4a42-9d47-7311211d76ec · outbound

This paper cites Scaling behavior of two -dimensional domain growth: Computer simulation of vertex models.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Scaling behavior of two -dimensional domain growth: Computer simulation of vertex models

Reference 11

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Observation d14402f5-fc20-4e6d-8fba-d68976944c80 · outbound

This paper cites A Nonlinear Vertex -based Model for Animation of Two-dimensional Dry Fo am.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications A Nonlinear Vertex -based Model for Animation of Two-dimensional Dry Fo am

Reference 12

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Observation 6654bb3f-c745-493c-ba9a-eab6d831f142 · outbound

This paper cites Tissue fluidity promotes epithelial wound healing.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Tissue fluidity promotes epithelial wound healing

Reference 13

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Observation 8da7a312-0e86-4c90-ba3e-47b0c2d2669b · outbound

This paper cites A geometry -based relaxation algorithm for equilibrating a trivalent polygonal network in two dimensions and its implications.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications A geometry -based relaxation algorithm for equilibrating a trivalent polygonal network in two dimensions and its implications

Reference 14

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Observation 3b908546-4a16-4442-9345-92ec302b1cb6 · outbound

This paper cites Dynamic crushing of 2D cellular structures: A finite element study.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Dynamic crushing of 2D cellular structures: A finite element study

Reference 15

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Observation f1b2208c-fdeb-4383-89d4-b321ff1efc1d · outbound

This paper cites Fitting quadratic curves to data points.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Fitting quadratic curves to data points

Reference 16

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Observation 9b9c22c1-fb0e-40b8-b283-ddf1086b3a51 · outbound

This paper cites Building block analysis of 2D amorphous networks reveals medium range correlation.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Building block analysis of 2D amorphous networks reveals medium range correlation

Reference 17

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Observation b3465cd6-d73a-4803-9e11-c77a81b787e3 · outbound

This paper cites Cell s tile a flat plane by controlling geometries during morphogenesis of Pyropia thalli.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Cell s tile a flat plane by controlling geometries during morphogenesis of Pyropia thalli

Reference 18

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Observation d27da301-d18c-461c-95a8-8a975e6e9a43 · outbound

This paper cites The emergence of geometric order in proliferating metazoan epithelia.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications The emergence of geometric order in proliferating metazoan epithelia

Reference 19

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Observation aa06cd4a-1aa2-4597-a50d-a14a0769af6d · outbound

This paper cites Control of the Mitotic Cleavage Plane by Local Epithelial Topology.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Control of the Mitotic Cleavage Plane by Local Epithelial Topology

Reference 20

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Observation 42289adb-3f41-49d4-98d4-201ebb71a563 · outbound

This paper cites EpiTools: 12 an open-source image analysis toolkit for quantifying epithelial growth dynamics.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications EpiTools: 12 an open-source image analysis toolkit for quantifying epithelial growth dynamics

Reference 21

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Observation efdbaf92-fa0d-4ef8-84ce-935835ddd2df · outbound

This paper cites Hexagonal packing of Drosophila wing epithelial cells by the planar cell pol arity pathway.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Hexagonal packing of Drosophila wing epithelial cells by the planar cell pol arity pathway

Reference 22

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Observation 926855dd-f984-4bb5-8dcd-ca86b327738c · outbound

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A symmetric relaxation method for entire two-dimensional cellular networks and its implications Two‐dimensional motion of idealized grain boundaries

Reference 23

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Observation c90c6e9f-2afc-4995-b1cf-8de2c7fa4ae5 · outbound

This paper cites In: Herring C, editor.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications In: Herring C, editor

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T18:57:00.563820Z

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Observation 5414aa72-a482-484f-b9ac-d462320d33a7 · outbound

This paper cites Fluid Networks.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Fluid Networks

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T18:57:00.563820Z

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Observation f2752469-24fa-4d9e-b0f2-56f01735b9df · outbound

This paper cites Numerical studies of foam dynamics: University of Califo rnia, San Diego; 1991.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Numerical studies of foam dynamics: University of Califo rnia, San Diego; 1991

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-26T18:57:00.563820Z

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Observation 2fe8ac85-f8bc-44b0-8bc3-89a780bc8bda · outbound

This paper cites Vertex models for two-dimensional grain growth.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Vertex models for two-dimensional grain growth

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-26T18:57:00.563820Z

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Observation 926e7ea9-8b6a-4ef4-bcee-3e8268f5eb9d · outbound

This paper cites Ellipse packing in two -dimensional cell tessellation: a theoretical explanation for Lewis’s law and Aboav-Weaire’s law.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Ellipse packing in two -dimensional cell tessellation: a theoretical explanation for Lewis’s law and Aboav-Weaire’s law

Reference 28

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Observation 86a7f182-5edb-47cb-aff3-2571d2728f2b · outbound

This paper cites Geometric formulas of Lewis’s law and Aboav -Weaire’s law in two dimensions based on ellipse packing.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Geometric formulas of Lewis’s law and Aboav -Weaire’s law in two dimensions based on ellipse packing

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-26T18:57:00.563820Z

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This paper cites The characteristics of maximum inscribed and minimum circumscribed polygons of ellipse (in Chinese).

A symmetric relaxation method for entire two-dimensional cellular networks and its implications The characteristics of maximum inscribed and minimum circumscribed polygons of ellipse (in Chinese)

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-26T18:57:00.563820Z

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Observation 98a72f63-5ce0-4eba-826b-a3edca005315 · outbound

This paper cites Structure-dependent mobility of a dry aqueous foam flowing along two parallel channels.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Structure-dependent mobility of a dry aqueous foam flowing along two parallel channels

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-26T18:57:00.563820Z

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Observation ccc88e08-4e7b-4da7-9e93-b34761d27d85 · outbound

This paper cites Viscous froth model applied to the motion and topological transformations of two-dimensional bubbles in a channel: three-bubble case.

A symmetric relaxation method for entire two-dimensional cellular networks and its implications Viscous froth model applied to the motion and topological transformations of two-dimensional bubbles in a channel: three-bubble case

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-26T18:57:00.563820Z

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Observation cb0e3714-2bc6-4aa0-a1d7-89c902f46045 · outbound

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A symmetric relaxation method for entire two-dimensional cellular networks and its implications Dynamics of two -dimensional soap froths

Reference 33

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