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Paper Citation Record · LEDGER

Morphology of frozen labyrinths from irreversible threshold dynamics

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.05496.

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

pith.paper-citation-record.v1
2608.05496 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T12:06:59.734577Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved3
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f586078b-16ef-4109-aec0-ff3f662a7596 · outbound

This paper cites Throughout, the front remains close to circular and does not develop concave pockets that could arrest it; small boundary fluctuations stay bounded rather than amplifying (App.

Morphology of frozen labyrinths from irreversible threshold dynamics Throughout, the front remains close to circular and does not develop concave pockets that could arrest it; small boundary fluctuations stay bounded rather than amplifying (App

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 626488f0-af4d-4998-a327-592358694925 · outbound

This paper cites The standardized initial bias is therefore z0 = E[m]p Var[m] − − − − − − − − → σ≫1, p0→ 1 2 2√π(2p 0 −1)σ,(16) withO(1/σ 2) corrections from the exact forms (14)–(15).

Morphology of frozen labyrinths from irreversible threshold dynamics The standardized initial bias is therefore z0 = E[m]p Var[m] − − − − − − − − → σ≫1, p0→ 1 2 2√π(2p 0 −1)σ,(16) withO(1/σ 2) corrections from the exact forms (14)–(15)

Reference 2

Resolution
malformed identifier
raw_fallback, observed 2026-08-08T12:06:59.980002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation fe35cb45-baa5-4a8b-9559-707b07b67cd5 · outbound

This paper cites Since the frozen state is already smooth at that scale (Sec.

Morphology of frozen labyrinths from irreversible threshold dynamics Since the frozen state is already smooth at that scale (Sec

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T12:06:59.672794Z digest=sha256:e37d5308894c8876d18e39aec1ea723ec19f0a38843b4aa8de4f4893f9208478

Observation 9fe05c3a-58b1-4539-aebd-74ca9c2f5219 · outbound

This paper cites an unresolved cited work.

Morphology of frozen labyrinths from irreversible threshold dynamics Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:06:59.957663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T12:06:59.676314Z digest=sha256:37bbdf3c8920253b5f07cb13845a1dda3fa280d4d4fe3f1c685117f012bd87c7

Observation c5009f82-43b6-4396-8a6b-e2001f5745b5 · outbound

This paper cites The pat- terned window is controlled by the exact standardized biasz 0 ≃2 √π(2p0 −1)σ, with a critical valuez ∗ 0 in- dependent ofσwithin resolution, and hence giving a 1/σwindow.

Morphology of frozen labyrinths from irreversible threshold dynamics The pat- terned window is controlled by the exact standardized biasz 0 ≃2 √π(2p0 −1)σ, with a critical valuez ∗ 0 in- dependent ofσwithin resolution, and hence giving a 1/σwindow

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:06:59.946191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T12:06:59.680194Z digest=sha256:5f3cde9d284a8ecc0c14478cb0c87e5af22c26b2f3d3d5040ba7b196cd7b976e

Observation 10f697c6-2da8-4f9e-b3eb-e958b41c429b · outbound

This paper cites Bence, and Stanley J.

Morphology of frozen labyrinths from irreversible threshold dynamics Bence, and Stanley J

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T12:06:59.684048Z digest=sha256:4f67b59a53cc30830edfde365e5027ea4bf576c877deb1b8c30b2689e96952bc

Observation 0f2deddf-b97c-460b-83be-1887c37340c4 · outbound

This paper cites Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells.SIAM Journal on Applied Mathematics, 47(3), 1987.

Morphology of frozen labyrinths from irreversible threshold dynamics Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells.SIAM Journal on Applied Mathematics, 47(3), 1987

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:06:59.923840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 879d96d4-42d4-42b4-b429-23bb77e394f4 · outbound

This paper cites Spirin, P.L.

Morphology of frozen labyrinths from irreversible threshold dynamics Spirin, P.L

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 5a54c897-5ae8-4429-9009-a1d463989185 · outbound

This paper cites Holm, James A.

Morphology of frozen labyrinths from irreversible threshold dynamics Holm, James A

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation dc9cb227-880e-4270-856c-887ab33a9c3b · outbound

This paper cites an unresolved cited work.

Morphology of frozen labyrinths from irreversible threshold dynamics Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-08T12:06:59.698050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 0d986279-14e5-47de-95fc-07098263bd10 · outbound

This paper cites Gleeson and Diarmuid J.

Morphology of frozen labyrinths from irreversible threshold dynamics Gleeson and Diarmuid J

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T12:06:59.701784Z digest=sha256:8dffe810fe2a889e867d163dc85a60bd5ad6e3b76a618eec85229731db86037f

Observation 78488e13-a0c3-47f1-a3f0-b554406a1eae · outbound

This paper cites Complex Contagions and the Weakness of Long Ties1.American Journal of Sociology, 113(3):702–734, November 2007.

Morphology of frozen labyrinths from irreversible threshold dynamics Complex Contagions and the Weakness of Long Ties1.American Journal of Sociology, 113(3):702–734, November 2007

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T12:06:59.704541Z digest=sha256:92a809fdaf43b0478d4c038427654bf25776ad7fcb5ee60bbd6fbb2343c0103c

Observation 1288d270-7006-4eac-b9a2-e9c3c6d044bc · outbound

This paper cites Rational group decision making: A random field Ising model at T = 0.Physica A: Statistical Mechan- ics and its Applications, 238(1-4):66–80, April 1997.

Morphology of frozen labyrinths from irreversible threshold dynamics Rational group decision making: A random field Ising model at T = 0.Physica A: Statistical Mechan- ics and its Applications, 238(1-4):66–80, April 1997

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:06:59.863125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 163991c5-3380-4bca-b97a-06960dfecb68 · outbound

This paper cites On the role of zealotry in the voter model.Journal of Statistical Me- chanics: Theory and Experiment, 2007(08):P08029, Au- gust 2007.

Morphology of frozen labyrinths from irreversible threshold dynamics On the role of zealotry in the voter model.Journal of Statistical Me- chanics: Theory and Experiment, 2007(08):P08029, Au- gust 2007

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation e81cf547-3e33-4fbc-839a-2cf8917b03c3 · outbound

This paper cites Latoski, W.

Morphology of frozen labyrinths from irreversible threshold dynamics Latoski, W

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 748b74bb-4d4a-46ca-81e0-494d75ebf54e · outbound

This paper cites Aizenman and J.

Morphology of frozen labyrinths from irreversible threshold dynamics Aizenman and J

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T12:06:59.715322Z digest=sha256:e6fff0dc496fcb2494d1c4bd948059852b2e985dab88cbeef4428a62e4420363

Observation a2605083-2260-4f5f-9a24-1a050d05a7aa · outbound

This paper cites Sharp metastability threhold for two-dimensional bootstrap percolation.Probability The- ory and Related Fields, 125(2):195–224, 2003.

Morphology of frozen labyrinths from irreversible threshold dynamics Sharp metastability threhold for two-dimensional bootstrap percolation.Probability The- ory and Related Fields, 125(2):195–224, 2003

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:06:59.822612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T12:06:59.718146Z digest=sha256:3fa39ac0499e8a3afc0aed3c24c7b87a92ef87284edc95093d91be59e3cad4a8

Observation 8a341158-675d-4a92-af25-3824916212f1 · outbound

This paper cites First passage percolation and a model for competing spatial growth.

Morphology of frozen labyrinths from irreversible threshold dynamics First passage percolation and a model for competing spatial growth

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:06:59.810878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T12:06:59.720951Z digest=sha256:57cf42360845f307e0720930fef2e305eeeec19d491dc95cadab20efac9fc712

Observation 4ff75ab3-d279-4a2e-9e03-0372d2b66660 · outbound

This paper cites Random growth models with polygonal shapes.The Annals of Probability, 34(1):181–218, January 2006.

Morphology of frozen labyrinths from irreversible threshold dynamics Random growth models with polygonal shapes.The Annals of Probability, 34(1):181–218, January 2006

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:06:59.800297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation bb124aca-d552-4445-b05c-8fc2c5cf71f2 · outbound

This paper cites Gage and R.

Morphology of frozen labyrinths from irreversible threshold dynamics Gage and R

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:06:59.788631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation bc273933-b07c-44de-9f2e-5097a4c75a35 · outbound

This paper cites an unresolved cited work.

Morphology of frozen labyrinths from irreversible threshold dynamics Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:06:59.777762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T12:06:59.731218Z digest=sha256:e5f52b40d097bbf99aa55b99ce19987c3a7b3b81bad291426b269bbe0b0f0392

Observation c38663a2-ebaf-4b6e-9e44-b9f5753389dd · outbound

This paper cites Contagion.The Review of Economic Studies, 67(1):57–78, 2000.

Morphology of frozen labyrinths from irreversible threshold dynamics Contagion.The Review of Economic Studies, 67(1):57–78, 2000

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:06:59.766481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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