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Paper Citation Record · LEDGER

Percolation on hierarchical lattices

As of 11 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2606.11503.

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

pith.paper-citation-record.v1
2606.11503 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T11:32:18.398423Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

45 of 45 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved39
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0afbd71d-850d-454a-a493-2415d096b56b · outbound

This paper cites an unresolved cited work.

Percolation on hierarchical lattices Unresolved cited work

Reference 1

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:e637acc2edc0336009cb1a97e3147e13eacbbe65b18b6e8aca4c8934418b1e93

Observation 6f8dda0c-9940-4910-b76e-4a5a0dab43fd · outbound

This paper cites Anisimova, A.V.

Percolation on hierarchical lattices Anisimova, A.V

Reference 2

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Observation 9c246bb0-01be-4cd7-940b-743e15d34802 · outbound

This paper cites Application of a generalization of Russo’s formula to learning from multiple random oracles.

Percolation on hierarchical lattices Application of a generalization of Russo’s formula to learning from multiple random oracles

Reference 3

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Observation f74eedde-d777-45fe-ab5c-b63a583eca6e · outbound

This paper cites On the convergence of infinite products of matrices.

Percolation on hierarchical lattices On the convergence of infinite products of matrices

Reference 4

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Observation 483715c3-637a-4e5e-b99d-6d3f08290fbf · outbound

This paper cites Large deviations for marked sparse random graphs with applications to interacting diffusions.

Percolation on hierarchical lattices Large deviations for marked sparse random graphs with applications to interacting diffusions

Reference 5

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Observation 99795e35-cba9-44a2-968e-ca7a070b711b · outbound

This paper cites Introduction to a renormali- sation group method.

Percolation on hierarchical lattices Introduction to a renormali- sation group method

Reference 6

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Observation 25e5e102-e2ea-41f2-8309-f1d620f2868c · outbound

This paper cites A discontinuous percolation phase transition on the hierarchical lattice.

Percolation on hierarchical lattices A discontinuous percolation phase transition on the hierarchical lattice

Reference 7

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:e8775ac204c334c9d9a51847d2660cf2e053cdddb6736c53bfba9ef30efd611f

Observation 7443e685-3a1d-4fc7-830d-258061c83cd6 · outbound

This paper cites Noise sensitivity of Boolean functions and applications to percolation.

Percolation on hierarchical lattices Noise sensitivity of Boolean functions and applications to percolation

Reference 8

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:a4640644d5f32dc49c540e624087f096ccf77edd3d5b1874d2732f08e02bd7ee

Observation a0505c89-1515-4753-beb6-dc93508877e4 · outbound

This paper cites Recurrence of distributional limits of finite planar graphs.

Percolation on hierarchical lattices Recurrence of distributional limits of finite planar graphs

Reference 9

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:bab62fedb3e8c75e3d7c76dce2d2870c73341bce20d0a79269c02320cdd649c2

Observation 6470b1ff-c121-41e5-9506-5836d9ffbc30 · outbound

This paper cites Limit gibbs distributions for the ising model on hierarchical lattices.

Percolation on hierarchical lattices Limit gibbs distributions for the ising model on hierarchical lattices

Reference 10

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:387f21f5a15588daaf64e2b1ca0223e751d3795374dad0670a4afc496703d0a6

Observation 24a8d7b7-4ed0-4ec8-8df7-eba37728a590 · outbound

This paper cites an unresolved cited work.

Percolation on hierarchical lattices Unresolved cited work

Reference 11

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Observation 8a26a845-08a2-4c94-8119-aa1cfc2d8d28 · outbound

This paper cites Self-avoiding walk on a hierarchical lattice in four dimensions.

Percolation on hierarchical lattices Self-avoiding walk on a hierarchical lattice in four dimensions

Reference 12

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:34774e6a10f3a54eaac5f404db2a67452c644585bd0ae1f458e8e97c0f7bc7bf

Observation 4990688c-d23b-4439-9c5f-58926b743da8 · outbound

This paper cites Random graphs: the local convergence point of view, 2017.

Percolation on hierarchical lattices Random graphs: the local convergence point of view, 2017

Reference 13

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Observation cc24e48a-912e-4667-9058-4a4a3d6e6a28 · outbound

This paper cites Potts models on hierarchical lattices and renormalization group dynamics.

Percolation on hierarchical lattices Potts models on hierarchical lattices and renormalization group dynamics

Reference 14

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Observation d6d80263-145f-4cb3-8550-be41c625014f · outbound

This paper cites an unresolved cited work.

Percolation on hierarchical lattices Unresolved cited work

Reference 15

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:a7e64549fb05378fe1d3dce6675fd11f4c1ae8a421e0562d14a49e1902af2ec9

Observation 4b8684db-fdff-436c-bcc2-508e826d31b5 · outbound

This paper cites The scaling limits of near-critical and dynamical percolation.

Percolation on hierarchical lattices The scaling limits of near-critical and dynamical percolation

Reference 16

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Observation eef91117-7d77-40e4-b68a-970564329a0b · outbound

This paper cites Spin systems on hierarchical lattices.

Percolation on hierarchical lattices Spin systems on hierarchical lattices

Reference 17

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:929df1076b9ab4781325074e26b775b3bbd131989a7eed7a8ed10988216872e1

Observation 3a616ffa-da8c-4ccb-a8d4-b48f334c7440 · outbound

This paper cites Percolation, volume 321 of Grundlehren der Mathematischen Wis- senschaften [Fundamental Principles of Mathematical Sciences].

Percolation on hierarchical lattices Percolation, volume 321 of Grundlehren der Mathematischen Wis- senschaften [Fundamental Principles of Mathematical Sciences]

Reference 18

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:f3c83f69020bbd8e1bb893bc297be2a9088d7480dfc439e8d732c8f34e986f5d

Observation cd45ad8e-02c4-4ed9-9b10-8f6b28562c96 · outbound

This paper cites Diffusion on the scaling limit of the critical percola- tion cluster in the diamond hierarchical lattice.

Percolation on hierarchical lattices Diffusion on the scaling limit of the critical percola- tion cluster in the diamond hierarchical lattice

Reference 19

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Observation 4e232373-19cf-45a8-9302-1e1ff350d37d · outbound

This paper cites Exit time tails from pairwise decor- relation in hidden Markov chains, with applications to dynamical percolation.

Percolation on hierarchical lattices Exit time tails from pairwise decor- relation in hidden Markov chains, with applications to dynamical percolation

Reference 20

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Observation b03e15df-a4ef-4444-bb7f-af1c88eda897 · outbound

This paper cites Mean-field critical behaviour for percolation in high dimensions.

Percolation on hierarchical lattices Mean-field critical behaviour for percolation in high dimensions

Reference 21

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Observation c968ee2c-d273-40b3-a383-1378e36c2ccc · outbound

This paper cites The critical two-point function for long-range percolation on the hierarchical lattice.

Percolation on hierarchical lattices The critical two-point function for long-range percolation on the hierarchical lattice

Reference 22

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:1901059bb959cbc32488a73429b65de0c24c49d93d1c63e4dc0c8c47bdb5716c

Observation 7ddfebf3-6d13-432d-988b-ca79bfbb342a · outbound

This paper cites Critical long-range percolation I: High effective dimension.

Percolation on hierarchical lattices Critical long-range percolation I: High effective dimension

Reference 23

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:71f56c588ffaa8e406f66383fa18d6639d9914cdfb8855ef1cd19d9a70fadc81

Observation 029ab832-56e6-4ded-bf9b-5e755a867d18 · outbound

This paper cites Critical long-range percolation II: Low effective dimension.

Percolation on hierarchical lattices Critical long-range percolation II: Low effective dimension

Reference 24

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:65fa8259ba43080bfc1cab711ead02ccd3dacf717420a1d314488456ddcdb44f

Observation aa6a884f-bd1d-416c-b10d-c65cc274c099 · outbound

This paper cites Critical long-range percolation III: The upper critical dimension.

Percolation on hierarchical lattices Critical long-range percolation III: The upper critical dimension

Reference 25

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:b7c2f0dce33dd7a7b7d3190403655e4e2e7ba6bf79a54cdfe4b66d986ac58072

Observation 2f8cdfbe-e908-4e90-b748-ffddaf0c098d · outbound

This paper cites Exactly soluble ising models on hierarchical lattices.

Percolation on hierarchical lattices Exactly soluble ising models on hierarchical lattices

Reference 26

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Observation 4ff8adb3-431f-4f97-b0f3-e1c0a9149b58 · outbound

This paper cites Spin systems on hierarchical lattices.

Percolation on hierarchical lattices Spin systems on hierarchical lattices

Reference 27

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Observation 89918926-ffe4-45a8-9110-07db888c220c · outbound

This paper cites A scaling relation at criticality for 2D-percolation.

Percolation on hierarchical lattices A scaling relation at criticality for 2D-percolation

Reference 28

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Observation bbe8faf1-c4a9-460b-ae41-231f358e031c · outbound

This paper cites Scaling relations for 2D-percolation.

Percolation on hierarchical lattices Scaling relations for 2D-percolation

Reference 29

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Observation 51555211-917a-4ab6-8b47-6524e55c4bb7 · outbound

This paper cites an unresolved cited work.

Percolation on hierarchical lattices Unresolved cited work

Reference 30

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:81d1bee45673cf7c4e8cef0caf3f7971d43071f65ad9d4597c36c18181442ff2

Observation b409dde1-9b65-40b9-95c3-1835c013c56f · outbound

This paper cites A closer look at the frustrated ising model on a hierachical lattice and possible phase diagram modifications.

Percolation on hierarchical lattices A closer look at the frustrated ising model on a hierachical lattice and possible phase diagram modifications

Reference 31

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:97fcda73f5697141f1edd038f9dc999b5ed61415569f15ae2231791095655e91

Observation 78c142f0-5f25-43e9-b1b7-4a62e32e7f3f · outbound

This paper cites Directed polymers on hierarchical lattices with site disorder.

Percolation on hierarchical lattices Directed polymers on hierarchical lattices with site disorder

Reference 32

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:dcac39d7562a353a695f3899ca68e0725455913ad5a6c8ae5f66bf3dd7c1a979

Observation 0b5ff0f6-9ecd-413c-a05c-ebeeb540391d · outbound

This paper cites Lawler, Oded Schramm, and Wendelin Werner.

Percolation on hierarchical lattices Lawler, Oded Schramm, and Wendelin Werner

Reference 33

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:a6f7dd3c2aa3abd83aae5862ff505056beb33fbcdfeb16f4a2302481957ec8bd

Observation ee148288-c4ea-4739-8187-866b7a626c9c · outbound

This paper cites Renormalization group approach to percolation in hierarchical lattices, 2022.

Percolation on hierarchical lattices Renormalization group approach to percolation in hierarchical lattices, 2022

Reference 34

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:67d3703caa8e832de6ac7d8426bbbb76bef3201f7e72e23cfbac6f46b1601080

Observation 04f023e4-c09b-4d0b-a6fe-0e36724806e4 · outbound

This paper cites Random walks and percolation on trees.

Percolation on hierarchical lattices Random walks and percolation on trees

Reference 35

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:d1243a51164030f29b541496b4704a06a68256a484403e908b5ffb86f258938e

Observation 68d01b13-318e-455e-bb9a-04b6d5944253 · outbound

This paper cites Continuum percolation, volume 119.

Percolation on hierarchical lattices Continuum percolation, volume 119

Reference 36

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:aa6e0eba6cc4578afada56a707cf5b36cc1e882410cbc2b16fb06963574ff073

Observation 47e97576-e99c-4677-ad6e-1012cbe0909f · outbound

This paper cites Near-critical percolation in two dimensions.

Percolation on hierarchical lattices Near-critical percolation in two dimensions

Reference 37

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:23251440edda5a69690475d59a36df5859a6585e2ba2a9b4df2e26c1508355d8

Observation 6d88b17e-a705-468e-ae69-888d7d22a561 · outbound

This paper cites Analysis of Boolean functions.

Percolation on hierarchical lattices Analysis of Boolean functions

Reference 38

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:afe4908ffe3a9fff69abcab46365b57476d44162c33f3b8b8b581ec2881a1ddd

Observation f59e216e-8455-4b95-8c70-2d15203c1e3e · outbound

This paper cites Servedio.

Percolation on hierarchical lattices Servedio

Reference 39

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:ac3ca2fccf45ddf4e105a8282dbe33346b6e048507ea6a6a386f80dc4d460d9e

Observation 324a05dd-6f76-457b-a738-6b0f123815f3 · outbound

This paper cites Phase transition and level-set percola- tion for the gaussian free field.

Percolation on hierarchical lattices Phase transition and level-set percola- tion for the gaussian free field

Reference 40

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Observation 481fc2ae-a6a4-4117-9a73-ff606d2cb2b5 · outbound

This paper cites Critical percolation in the plane: conformal invariance, Cardy’s for- mula, scaling limits.

Percolation on hierarchical lattices Critical percolation in the plane: conformal invariance, Cardy’s for- mula, scaling limits

Reference 41

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Observation 8caaa077-9051-41dc-8057-c53410f9a9eb · outbound

This paper cites Vacant set of random interlacements and percolation.

Percolation on hierarchical lattices Vacant set of random interlacements and percolation

Reference 42

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Observation 65079487-f4da-45ca-b4db-0d8f6a0e05a6 · outbound

This paper cites Noise sensitivity of percolation via differential inequalities.

Percolation on hierarchical lattices Noise sensitivity of percolation via differential inequalities

Reference 43

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Observation 83e5939a-551b-4776-9c01-e8c665052815 · outbound

This paper cites Differential equations: a dynamical systems approach to theory and practice , volume 212.

Percolation on hierarchical lattices Differential equations: a dynamical systems approach to theory and practice , volume 212

Reference 44

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Observation 37cad3de-8184-40cb-8a9b-5608b44f31c1 · outbound

This paper cites Lectures on two-dimensional critical percolation.

Percolation on hierarchical lattices Lectures on two-dimensional critical percolation

Reference 45

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:2e947387f8e11654135cd0b514fefd70053b74956c544329777896f00ef74d81

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