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Paper Citation Record · LEDGER

Deterministic cascade coarsening in a Bistable Gene Toggle model

As of 15 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2607.18891.

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

pith.paper-citation-record.v1
2607.18891 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:04:51.906322Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

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External citation measurements

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Outbound references

Observation 5785e0ba-1b2d-4a87-8391-b90d1f6e7ded · outbound

This paper cites General conclusions: Teleonomic mechanisms in cellu- lar metabolism, growth, and differentiation.Cold Spring Harbor Symposia on Quantitative Biology, 26:389–401, 1961.

Deterministic cascade coarsening in a Bistable Gene Toggle model General conclusions: Teleonomic mechanisms in cellu- lar metabolism, growth, and differentiation.Cold Spring Harbor Symposia on Quantitative Biology, 26:389–401, 1961

Reference 1

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Observation 23be4612-aaaa-438d-9b9c-f55c9044f5dd · outbound

This paper cites Gardner, Charles R.

Deterministic cascade coarsening in a Bistable Gene Toggle model Gardner, Charles R

Reference 2

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Observation 304a7d3b-da46-4c29-acba-fb941a9e0582 · outbound

This paper cites Oxford University Press, 5th edition, 2015.

Deterministic cascade coarsening in a Bistable Gene Toggle model Oxford University Press, 5th edition, 2015

Reference 3

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Observation 8ecfa762-7e49-4fee-884f-078cd86c095e · outbound

This paper cites American Society for Cell Biology, 2004.

Deterministic cascade coarsening in a Bistable Gene Toggle model American Society for Cell Biology, 2004

Reference 4

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Observation 3cb48d8c-4c6f-4cce-a33d-c5aed6686580 · outbound

This paper cites Reaction-diffusion model as a framework for under- standing biological pattern formation.Science, 329:1616–1620, 2010.

Deterministic cascade coarsening in a Bistable Gene Toggle model Reaction-diffusion model as a framework for under- standing biological pattern formation.Science, 329:1616–1620, 2010

Reference 5

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Observation 4f0a82c1-ee66-4d3a-874d-c9a5afd40e53 · outbound

This paper cites Tank, Eric F.

Deterministic cascade coarsening in a Bistable Gene Toggle model Tank, Eric F

Reference 6

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Observation 02a23b7e-c3ab-478c-9e5e-7dfc8e18bdb7 · outbound

This paper cites A synthetic multicellular system for programmed pattern formation.Nature, 434(7037):1130– 1134, 2005.

Deterministic cascade coarsening in a Bistable Gene Toggle model A synthetic multicellular system for programmed pattern formation.Nature, 434(7037):1130– 1134, 2005

Reference 7

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Observation 527e5a85-e992-40fb-be75-c3ed8aaa102f · outbound

This paper cites an unresolved cited work.

Deterministic cascade coarsening in a Bistable Gene Toggle model Unresolved cited work

Reference 8

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Observation 91045cde-911b-4526-9b39-66a50e42162d · outbound

This paper cites an unresolved cited work.

Deterministic cascade coarsening in a Bistable Gene Toggle model Unresolved cited work

Reference 9

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Observation f732dd55-2f73-4b68-b64f-f30e6d7d9a3a · outbound

This paper cites Cross and Pierre C.

Deterministic cascade coarsening in a Bistable Gene Toggle model Cross and Pierre C

Reference 10

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Observation 90e91a03-3b6a-4a97-bffb-0c4b8399f9e1 · outbound

This paper cites an unresolved cited work.

Deterministic cascade coarsening in a Bistable Gene Toggle model Unresolved cited work

Reference 11

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Observation c02a247f-b501-4d7b-a0ff-bd22ad941418 · outbound

This paper cites Nature, nurture, or chance: Stochastic gene expression and its consequences.Cell, 135(2):216–226, 2008.

Deterministic cascade coarsening in a Bistable Gene Toggle model Nature, nurture, or chance: Stochastic gene expression and its consequences.Cell, 135(2):216–226, 2008

Reference 12

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Observation d6ec5428-6719-4b12-826a-b2d5041da6b0 · outbound

This paper cites Dynamics of the p53-mdm2 feedback loop in individual cells.Nature genetics, 36(2):147–150, 2004.

Deterministic cascade coarsening in a Bistable Gene Toggle model Dynamics of the p53-mdm2 feedback loop in individual cells.Nature genetics, 36(2):147–150, 2004

Reference 13

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Observation f716a7c6-713f-4bf1-82a1-02effe2064b4 · outbound

This paper cites an unresolved cited work.

Deterministic cascade coarsening in a Bistable Gene Toggle model Unresolved cited work

Reference 14

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Observation 941755d4-56d5-411d-ba13-d1189cdce787 · outbound

This paper cites Allen and John W.

Deterministic cascade coarsening in a Bistable Gene Toggle model Allen and John W

Reference 15

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Observation 4bc16234-f408-4f4b-bf32-d112818ba242 · outbound

This paper cites an unresolved cited work.

Deterministic cascade coarsening in a Bistable Gene Toggle model Unresolved cited work

Reference 16

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Observation c109b0fa-bf9e-4fd3-8a25-9eaaced32de6 · outbound

This paper cites Cherry and Frederick R.

Deterministic cascade coarsening in a Bistable Gene Toggle model Cherry and Frederick R

Reference 17

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Observation 6eb45157-f674-43c9-9aad-bdc1c537cb09 · outbound

This paper cites Fife.Mathematical Aspects of Reacting and Diffusing Systems.

Deterministic cascade coarsening in a Bistable Gene Toggle model Fife.Mathematical Aspects of Reacting and Diffusing Systems

Reference 18

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source=pdf_text observed=2026-08-01T14:04:50.540638Z digest=sha256:8360dcd64dbb74f86071c2847e773332e7062268091bdfa1cb2c0cb0157ad3ce

Observation 9efb0336-b69a-435c-b6ef-12ac9e7c821e · outbound

This paper cites Discrete-scale invariance and complex dimensions.Physics reports, 297(5):239–270, 1998.

Deterministic cascade coarsening in a Bistable Gene Toggle model Discrete-scale invariance and complex dimensions.Physics reports, 297(5):239–270, 1998

Reference 19

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Observation 9bd23e02-8ca3-40cc-b5fa-6fa7fe6f0f45 · outbound

This paper cites Spatially distributed cell signalling.FEBS letters, 583(24):4006–4012, 2009.

Deterministic cascade coarsening in a Bistable Gene Toggle model Spatially distributed cell signalling.FEBS letters, 583(24):4006–4012, 2009

Reference 20

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Observation 9985625f-85bf-4d86-a2a7-fd446994f564 · outbound

This paper cites Front interaction and nonho- mogeneous equilibria for tristable reaction-diffusion equations.SIAM Journal on Applied Mathematics, 53(6):1669–1685, 1993.

Deterministic cascade coarsening in a Bistable Gene Toggle model Front interaction and nonho- mogeneous equilibria for tristable reaction-diffusion equations.SIAM Journal on Applied Mathematics, 53(6):1669–1685, 1993

Reference 21

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Observation a1f58e50-daae-43df-a93a-b4f7c47b6065 · outbound

This paper cites Front interactions in a three-component system.SIAM Journal on Applied Dynamical Systems, 9(2):292–332, 2010.

Deterministic cascade coarsening in a Bistable Gene Toggle model Front interactions in a three-component system.SIAM Journal on Applied Dynamical Systems, 9(2):292–332, 2010

Reference 22

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Observation b18a2a10-6a2d-4d88-a298-b6f223b881dc · outbound

This paper cites Synchronization transitions in coupled q-deformed logistic maps.Chaos, Solitons & Fractals, 181:114703, 2024.

Deterministic cascade coarsening in a Bistable Gene Toggle model Synchronization transitions in coupled q-deformed logistic maps.Chaos, Solitons & Fractals, 181:114703, 2024

Reference 23

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Observation e10eaefa-807b-445e-b12f-b3ca6fdd9cd7 · outbound

This paper cites Discrete scale invariance, com- plex fractal dimensions, and log-periodic fluctuations in seismicity.Journal of Geophysical Research: Solid Earth, 101(B8):17661–17677, 1996.

Deterministic cascade coarsening in a Bistable Gene Toggle model Discrete scale invariance, com- plex fractal dimensions, and log-periodic fluctuations in seismicity.Journal of Geophysical Research: Solid Earth, 101(B8):17661–17677, 1996

Reference 24

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Observation f8e21c8d-1c9e-433f-884c-46a29c70ddbb · outbound

This paper cites Bhoyar and Prashant M.

Deterministic cascade coarsening in a Bistable Gene Toggle model Bhoyar and Prashant M

Reference 25

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Observation 57e91b2b-756e-4a4a-a504-a850cd5b18be · outbound

This paper cites Emergence of logarithmic-periodic oscillations in contact process with topological disorder.Physical Review E, 103(2):022115, 2021.

Deterministic cascade coarsening in a Bistable Gene Toggle model Emergence of logarithmic-periodic oscillations in contact process with topological disorder.Physical Review E, 103(2):022115, 2021

Reference 26

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source=pdf_text observed=2026-08-01T14:04:51.536427Z digest=sha256:f600efb678bac07466e27667485d37371bb1074777939ac9a73c9fffd2c895df

Observation 93c2513b-1637-419b-a63e-1ccc3ba8562b · outbound

This paper cites Universal log-periodic correction to renormalization group scaling for rupture stress prediction from acoustic emissions.Journal de Physique I, 5(6):631–638, 1995.

Deterministic cascade coarsening in a Bistable Gene Toggle model Universal log-periodic correction to renormalization group scaling for rupture stress prediction from acoustic emissions.Journal de Physique I, 5(6):631–638, 1995

Reference 27

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Observation d4428dab-72bb-43e1-9fae-c35a075367fa · outbound

This paper cites Precursors, aftershocks, criti- cality and self-organized criticality.EPL (Europhysics Letters), 41(1):43–48, 1998.

Deterministic cascade coarsening in a Bistable Gene Toggle model Precursors, aftershocks, criti- cality and self-organized criticality.EPL (Europhysics Letters), 41(1):43–48, 1998

Reference 28

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Observation eeaee87d-80a9-406b-a45d-626298ead4ae · outbound

This paper cites Predicting financial crashes using discrete scale invariance.Journal of Risk, 1, 1999.

Deterministic cascade coarsening in a Bistable Gene Toggle model Predicting financial crashes using discrete scale invariance.Journal of Risk, 1, 1999

Reference 29

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Observation 56aa8e59-6a4d-46e2-b345-9b4523f34093 · outbound

This paper cites Crashes as critical points.Interna- tional Journal of Theoretical and Applied Finance, 3(02):219–255, 2000.

Deterministic cascade coarsening in a Bistable Gene Toggle model Crashes as critical points.Interna- tional Journal of Theoretical and Applied Finance, 3(02):219–255, 2000

Reference 30

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