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Paper Citation Record · LEDGER

The near-critical random bond FK-percolation model

As of 10 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2509.08938.

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

pith.paper-citation-record.v1
2509.08938 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T20:05:20.282862Z

measured 56 of 56 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

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Reference resolution

56 of 56 outbound references displayed

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External citation measurements

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Outbound references

Observation ea5100e5-acd3-4ea9-a177-52eaa8cb439f · outbound

This paper cites Rounding effects of quenched ran- domness on first-order phase transitions.

The near-critical random bond FK-percolation model Rounding effects of quenched ran- domness on first-order phase transitions

Reference 1

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Observation 9dbf8576-d0ef-4e9e-8ee0-e79f55fdd899 · outbound

This paper cites Rounding of first-order phase tran- sitions in systems with quenched disorder.

The near-critical random bond FK-percolation model Rounding of first-order phase tran- sitions in systems with quenched disorder

Reference 2

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source=pdf_text observed=2026-08-04T20:05:18.420644Z digest=sha256:99fe4f78de7bf2b2c4e2403acd863b4a76703054a6e87ecea7a7f3acc14a50cc

Observation 6e56ddd9-79e1-4d18-9e2c-0c1034f09736 · outbound

This paper cites Quan- titative stochastic homogenization and large-scale regularity.

The near-critical random bond FK-percolation model Quan- titative stochastic homogenization and large-scale regularity

Reference 3

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Observation 89d84714-9e7e-46d9-bfeb-aa9a6e7031d1 · outbound

This paper cites Large deviations for infinite weighted sums of stretched exponential random variables.

The near-critical random bond FK-percolation model Large deviations for infinite weighted sums of stretched exponential random variables

Reference 4

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source=pdf_text observed=2026-08-04T20:05:18.495057Z digest=sha256:177ddba521df6d7c34ef54baec73190a349fa498c40088b8d4584afcfe672d82

Observation 110e6ed5-d37b-434d-8753-1a461993d7ba · outbound

This paper cites The two-arm exponent for critical FK-percolation.

The near-critical random bond FK-percolation model The two-arm exponent for critical FK-percolation

Reference 5

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source=pdf_text observed=2026-08-04T20:05:18.511669Z digest=sha256:42b899241b4133979a84322d7970e343183ee9907c290a8c854e3940b5c79ab3

Observation d0641721-b9b0-43fa-9a3c-f60146bc5f3d · outbound

This paper cites Smirnov’s fermionic ob- servable away from criticality.

The near-critical random bond FK-percolation model Smirnov’s fermionic ob- servable away from criticality

Reference 6

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Observation d2e61458-87ab-457f-905a-8530e22b9c44 · outbound

This paper cites The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1.

The near-critical random bond FK-percolation model The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1

Reference 7

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source=pdf_text observed=2026-08-04T20:05:18.613616Z digest=sha256:0f776f346a1256053ba16e8c5a7f15ab5134a2bfe50e01e9a8a34c894ffe6f19

Observation b80cf1f9-7984-4300-9db0-d67e2d709082 · outbound

This paper cites Infinite conformal symmetry in two-dimensional quantum field theory.

The near-critical random bond FK-percolation model Infinite conformal symmetry in two-dimensional quantum field theory

Reference 8

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source=pdf_text observed=2026-08-04T20:05:18.650034Z digest=sha256:54a391659553bb041920db4d28c375930c82a81da4518ca68bacdc099c2dbd70

Observation f2a59f1f-761a-48f4-a1c3-aab598e2363e · outbound

This paper cites Infinite conformal symmetry of critical fluctuations in two di- mensions.

The near-critical random bond FK-percolation model Infinite conformal symmetry of critical fluctuations in two di- mensions

Reference 9

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source=pdf_text observed=2026-08-04T20:05:18.722343Z digest=sha256:19b256e53c5dd1462ee45611a5e4f87b9397918e2e8e27b94d49dfa4b33537b7

Observation 97cc43e4-a324-4bcb-8930-8b8f68395b2a · outbound

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

The near-critical random bond FK-percolation model Noise sensitivity of Boolean functions and applications to percolation

Reference 10

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source=pdf_text observed=2026-08-04T20:05:18.765621Z digest=sha256:8b5e1fa399fe8c41680b8ba6822c89d6e2fbd9fa5f74f35ea1792f363de448da

Observation e9750b11-dade-4046-a492-c2baa3e3e33b · outbound

This paper cites Near-critical dimers and massive SLE.

The near-critical random bond FK-percolation model Near-critical dimers and massive SLE

Reference 11

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source=pdf_text observed=2026-08-04T20:05:18.776018Z digest=sha256:95386cacaab2ad1bee6cafc345214ab2754cf8ac4fc4eb9d6d8b8001ec17b039

Observation c378c574-4d05-4389-8146-729623f07333 · outbound

This paper cites On the four-arm exponent for 2D percolation at criticality.

The near-critical random bond FK-percolation model On the four-arm exponent for 2D percolation at criticality

Reference 12

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source=pdf_text observed=2026-08-04T20:05:18.813356Z digest=sha256:26de58c33aa7feaf38399cfc3923ff85cccc074c488e48a671f500274e3c223b

Observation d7d76bdf-8465-4191-8532-c0b28e1b7704 · outbound

This paper cites SLE(6) and CLE(6) from Critical Percolation.

The near-critical random bond FK-percolation model SLE(6) and CLE(6) from Critical Percolation

Reference 13

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source=pdf_text observed=2026-08-04T20:05:18.828513Z digest=sha256:984094c3348707e55ea9324561c69cb20aaf89daa41e06c9073af82d48cdd907

Observation 65b433c9-abb9-4347-a645-ed20c6400927 · outbound

This paper cites Universality of spin correlations in the Ising model on isoradial graphs.

The near-critical random bond FK-percolation model Universality of spin correlations in the Ising model on isoradial graphs

Reference 14

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source=pdf_text observed=2026-08-04T20:05:18.866407Z digest=sha256:d79a5bccb01e8e1168b1e6f5cef345022b03ff21fa625c904104bfb21d3b2d16

Observation f5fee6a8-6433-4bc5-b591-7ba94eaf5fa2 · outbound

This paper cites The height fluctuations of an off-critical dimer model on the square grid.

The near-critical random bond FK-percolation model The height fluctuations of an off-critical dimer model on the square grid

Reference 15

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Observation 9be0ab9d-5508-4632-8871-66e2530091db · outbound

This paper cites Criticality in the two-dimensional random-bond Ising model.

The near-critical random bond FK-percolation model Criticality in the two-dimensional random-bond Ising model

Reference 16

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Observation 76dac38c-3e5b-4d6d-8595-d915c76dcbb2 · outbound

This paper cites A unifying class of Skorokhod embeddings: connecting the Az´ ema–Yor and Vallois embeddings.

The near-critical random bond FK-percolation model A unifying class of Skorokhod embeddings: connecting the Az´ ema–Yor and Vallois embeddings

Reference 17

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Observation ce914c10-70a6-4b98-b465-ca0b7b849d46 · outbound

This paper cites Lectures on the Ising and Potts models on the hy- percubic lattice.

The near-critical random bond FK-percolation model Lectures on the Ising and Potts models on the hy- percubic lattice

Reference 18

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Observation ded56ff8-ac35-411a-8c91-3fb3e1bd372c · outbound

This paper cites Discontinuity of the phase transition for the pla- nar random-cluster and Potts models with q¿ 4.

The near-critical random bond FK-percolation model Discontinuity of the phase transition for the pla- nar random-cluster and Potts models with q¿ 4

Reference 19

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source=pdf_text observed=2026-08-04T20:05:18.995542Z digest=sha256:95e882f82e9a89660e1e982fe9e9f388270e2528912e3bd094ade9f3e47d4e28

Observation d8f4835e-be56-4118-93e8-7f538524f5ac · outbound

This paper cites The near- critical planar FK-Ising model.

The near-critical random bond FK-percolation model The near- critical planar FK-Ising model

Reference 20

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source=pdf_text observed=2026-08-04T20:05:19.033134Z digest=sha256:c63c408072d2c78d9232ae14b7f35d995e9f87fa7ff606abb552b31f1e108cb0

Observation 7b671945-7714-456e-bd7e-638b388d2f51 · outbound

This paper cites Macroscopic loops in the loop O(n) model at Nienhuis’ critical point.

The near-critical random bond FK-percolation model Macroscopic loops in the loop O(n) model at Nienhuis’ critical point

Reference 21

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source=pdf_text observed=2026-08-04T20:05:19.072100Z digest=sha256:78c1636cd298ec950b8b954044ac537e3149b8b96c52fbd0daf5786e6e8b5842

Observation 99a70586-2b66-45f7-b035-a093f5d9516f · outbound

This paper cites Rotational invariance in critical planar lattice models.

The near-critical random bond FK-percolation model Rotational invariance in critical planar lattice models

Reference 22

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Observation b48838ce-887b-45c9-a00d-85fe87e0e9ae · outbound

This paper cites GFF Convergence of the 6V model.

The near-critical random bond FK-percolation model GFF Convergence of the 6V model

Reference 23

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Observation 7061a0f7-afb8-4aae-b7cb-fc78e6d48e4f · outbound

This paper cites Universality for the random-cluster model on isoradial graphs.

The near-critical random bond FK-percolation model Universality for the random-cluster model on isoradial graphs

Reference 24

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Observation 23a55fda-a7a2-44f1-b808-ddfcc783bd2e · outbound

This paper cites Planar random-cluster model: scaling relations.

The near-critical random bond FK-percolation model Planar random-cluster model: scaling relations

Reference 25

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Observation bfae22a8-d31b-4707-bf20-5cb567ce1895 · outbound

This paper cites Planar random-cluster model: fractal properties of the critical phase.

The near-critical random bond FK-percolation model Planar random-cluster model: fractal properties of the critical phase

Reference 26

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Observation bacebe49-d4e4-4335-8fa4-1d237eac6cc2 · outbound

This paper cites Sharp phase transition for the random-cluster and Potts models via decision trees.

The near-critical random bond FK-percolation model Sharp phase transition for the random-cluster and Potts models via decision trees

Reference 27

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source=pdf_text observed=2026-08-04T20:05:19.305403Z digest=sha256:3a9748d31f4f4f52254ab000b5e2e6fad35e5071f0bef71353fcfb71c56ef062

Observation 333f529a-b728-4565-9416-aba9d05fbe6d · outbound

This paper cites Con- tinuity of the phase transition for planar random-cluster and Potts mod- els with 1 ≤ q≤ 4.

The near-critical random bond FK-percolation model Con- tinuity of the phase transition for planar random-cluster and Potts mod- els with 1 ≤ q≤ 4

Reference 28

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source=pdf_text observed=2026-08-04T20:05:19.340388Z digest=sha256:876cfcad22e178bbfdd524911f4cc36f022f45d6ff537ce16c8bb788d2782697

Observation 810fa36f-9c40-4946-b0ae-64860989db18 · outbound

This paper cites A new proof of the sharp- ness of the phase transition for Bernoulli percolation and the Ising model.

The near-critical random bond FK-percolation model A new proof of the sharp- ness of the phase transition for Bernoulli percolation and the Ising model

Reference 29

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Observation 0b99a6c1-25f8-4fc8-be78-5e8b047d96a1 · outbound

This paper cites Random walk in random environment, corrector equation and homog- enized coefficients: from theory to numerics, back and forth.

The near-critical random bond FK-percolation model Random walk in random environment, corrector equation and homog- enized coefficients: from theory to numerics, back and forth

Reference 30

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Observation 467a40c4-bd53-4fe9-86ad-8a23389a2900 · outbound

This paper cites Pad´ e approximant studies of the lattice gas and Ising ferromagnet below the critical point.

The near-critical random bond FK-percolation model Pad´ e approximant studies of the lattice gas and Ising ferromagnet below the critical point

Reference 31

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source=pdf_text observed=2026-08-04T20:05:19.429532Z digest=sha256:9f8f56411e375f0b64ed4c3ac22f8f22132bc62ed4ccabf1b0bcf231d6a450ee

Observation cf347ef6-f8a5-4884-b52c-5f93c895c125 · outbound

This paper cites Correlation functions and the critical region of simple fluids.

The near-critical random bond FK-percolation model Correlation functions and the critical region of simple fluids

Reference 32

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Observation a095c2a1-a108-43cf-9840-cb84062ded7a · outbound

This paper cites On the random-cluster model II. The perco- lation model.

The near-critical random bond FK-percolation model On the random-cluster model II. The perco- lation model

Reference 33

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Observation 199da2a2-ded1-40a9-a245-7fdb822d7256 · outbound

This paper cites Pivotal, cluster, and interface measures for critical planar percolation.

The near-critical random bond FK-percolation model Pivotal, cluster, and interface measures for critical planar percolation

Reference 34

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Observation d847169d-3cdc-4122-88c0-07cba3f019cd · outbound

This paper cites Noise sensitivity of Boolean functions and percolation.

The near-critical random bond FK-percolation model Noise sensitivity of Boolean functions and percolation

Reference 35

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source=pdf_text observed=2026-08-04T20:05:19.562175Z digest=sha256:4f818d1515cfdf53e47425cb130b2efbee2c91b97f88f42fc6db31e5e1efa54f

Observation c8ab197e-be0b-4792-8b8e-b07dcfe9b4d9 · outbound

This paper cites Delocalisation and Continuity in 2D: Loop O(2), Six-Vertex, and Random-Cluster Models.

The near-critical random bond FK-percolation model Delocalisation and Continuity in 2D: Loop O(2), Six-Vertex, and Random-Cluster Models

Reference 36

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Observation 8b2d9a49-15aa-492e-9f2e-6e66fe1346b5 · outbound

This paper cites Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics.

The near-critical random bond FK-percolation model Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics

Reference 37

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source=pdf_text observed=2026-08-04T20:05:19.635099Z digest=sha256:8d6f58886c57a76db2883cfe262ef9e9946f20f8c8834df415445854acd28d0f

Observation bf498319-e635-4cc6-b882-0878ee0ace1d · outbound

This paper cites Scaling relations for 2D-percolation.

The near-critical random bond FK-percolation model Scaling relations for 2D-percolation

Reference 38

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source=pdf_text observed=2026-08-04T20:05:19.647987Z digest=sha256:aa2c12d069a339b3c289fc9510409ff2ab1fc7746e179b52d3eceb2e973ca013

Observation 8e545a00-9432-4c49-9442-001b22893935 · outbound

This paper cites The Russo-Seymour-Welsh theorem.

The near-critical random bond FK-percolation model The Russo-Seymour-Welsh theorem

Reference 39

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source=pdf_text observed=2026-08-04T20:05:19.686024Z digest=sha256:57e9caa93d5a511ee6bd0b8107934cd4b643c688090e4697fc136ff16763002b

Observation 5eadf562-1765-466b-ad32-1bbe62c5f308 · outbound

This paper cites Brownian motion, martingales, and stochastic calculus.

The near-critical random bond FK-percolation model Brownian motion, martingales, and stochastic calculus

Reference 40

Resolution
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source=pdf_text observed=2026-08-04T20:05:19.723151Z digest=sha256:5dadcf223d74a859b2f1be72a78b14f380a55b14f0f36addd55aa2e7d9401a0a

Observation 41ba8361-2a7d-43c2-9071-b6b833867727 · outbound

This paper cites Mixing rate exponent of planar Fortuin-Kasteleyn percolation.

The near-critical random bond FK-percolation model Mixing rate exponent of planar Fortuin-Kasteleyn percolation

Reference 41

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source=pdf_text observed=2026-08-04T20:05:19.757884Z digest=sha256:1dcf26786b66fc88609a2b95df9090ade36e4239de79a0d1babfeb81a0f6aaea

Observation 67c0644d-df25-4060-850f-ed7bbe52e3bc · outbound

This paper cites The near-critical Ising model via embedding deforma- tion.

The near-critical random bond FK-percolation model The near-critical Ising model via embedding deforma- tion

Reference 42

Resolution
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source=pdf_text observed=2026-08-04T20:05:19.790951Z digest=sha256:44f6d7a5af8c0bf8faf5308baf33b7fecac6759c5b562da125e09577c91a6b0c

Observation ccd20155-f23c-4a70-87ac-e28719a40394 · outbound

This paper cites Two-dimensional random-bond Ising model, free fermions, and the network model.

The near-critical random bond FK-percolation model Two-dimensional random-bond Ising model, free fermions, and the network model

Reference 43

Resolution
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source=pdf_text observed=2026-08-04T20:05:19.849127Z digest=sha256:47805fb8727cf5183a9025c93b2b4b2477a4a7adb19e2127895e0402f9135b9e

Observation 16ed7f67-ee0e-405a-afff-abe9dd6f8d70 · outbound

This paper cites Near-critical percolation in two dimensions.

The near-critical random bond FK-percolation model Near-critical percolation in two dimensions

Reference 44

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source=pdf_text observed=2026-08-04T20:05:19.886831Z digest=sha256:5d826fb4f6656afbf6c58e7b5322d46aec7a942b07ed490a0de748a957d3b450

Observation 9e742e7d-678c-492a-b7da-bef6c206d3ee · outbound

This paper cites Asymmetry of near-critical per- colation interfaces.

The near-critical random bond FK-percolation model Asymmetry of near-critical per- colation interfaces

Reference 45

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source=pdf_text observed=2026-08-04T20:05:19.894518Z digest=sha256:34c5ee4630115956b427676e4049e314813a36f45df0437ca08214ba7b806c53

Observation ef593643-44a1-413e-87e1-dbd51a4a0553 · outbound

This paper cites Convergence of fermionic observables in the massive planar FK-Ising model.

The near-critical random bond FK-percolation model Convergence of fermionic observables in the massive planar FK-Ising model

Reference 46

Resolution
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source=pdf_text observed=2026-08-04T20:05:19.938678Z digest=sha256:fd244645b06e55dd3aec9cab1c5cb433c30538836b39d6eec245cc08ffc2c6b6

Observation 2975827c-e9db-48ce-98d3-2368bffd9342 · outbound

This paper cites Massive Scaling Limit of the Ising Model: Subcritical Analysis and Isomonodromy.

The near-critical random bond FK-percolation model Massive Scaling Limit of the Ising Model: Subcritical Analysis and Isomonodromy

Reference 47

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source=pdf_text observed=2026-08-04T20:05:19.946697Z digest=sha256:446a463d466b0e03958bfe382f77d02fe0b60f5f4c3366f8bc3808d18c0e1364

Observation e19002e3-1752-435f-853e-ba4bdd301c29 · outbound

This paper cites Ising Model and Field Theory: Lattice Local Fields and Massive Scaling Limit.

The near-critical random bond FK-percolation model Ising Model and Field Theory: Lattice Local Fields and Massive Scaling Limit

Reference 48

Resolution
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source=pdf_text observed=2026-08-04T20:05:19.987550Z digest=sha256:ea9198ea54961b6706dcfd1dbed49661903570c43f09c0ba4752b8063b74bb0b

Observation dabfc384-c427-4014-adf2-898d56a7c6c0 · outbound

This paper cites The Doob transform and the tree behind the forest, with application to near-critical dimers.

The near-critical random bond FK-percolation model The Doob transform and the tree behind the forest, with application to near-critical dimers

Reference 49

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source=pdf_text observed=2026-08-04T20:05:20.026936Z digest=sha256:2b614a8064c54c3ab3d988ef7d508162a77bf4d94f8c9cbed4a5d0a780e38281

Observation 5bd7ab53-14b6-40ed-9125-b1e95023c1cd · outbound

This paper cites Critical behavior of the two-dimensional Ising model with random bonds.

The near-critical random bond FK-percolation model Critical behavior of the two-dimensional Ising model with random bonds

Reference 50

Resolution
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source=pdf_text observed=2026-08-04T20:05:20.061624Z digest=sha256:c66f51bc85fb986667e6ab5d5ec426fd15f64900bd625d3ce6af89b8b12c6c86

Observation 5119d59f-0c72-47a6-acc6-971fea97545c · outbound

This paper cites Conformal invariance in random cluster models. I. Holmorphic fermions in the Ising model.

The near-critical random bond FK-percolation model Conformal invariance in random cluster models. I. Holmorphic fermions in the Ising model

Reference 51

Resolution
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source=pdf_text observed=2026-08-04T20:05:20.093005Z digest=sha256:5f4ad5d8ba03e168641e642e9aef2caaed3b0a0c2b33f5a4059d163da5227113

Observation bfe55455-752f-4aaa-93d9-56adb4f45ccb · outbound

This paper cites Critical percolation in the plane: conformal invari- ance, Cardy’s formula, scaling limits.

The near-critical random bond FK-percolation model Critical percolation in the plane: conformal invari- ance, Cardy’s formula, scaling limits

Reference 52

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source=pdf_text observed=2026-08-04T20:05:20.132380Z digest=sha256:abde96e3bf1833f79268929cb442bc6ac5214d14333d448d2c59b605cc5d7899

Observation ca8030c4-43bd-4a8c-b129-d2a5b6f7981f · outbound

This paper cites Critical exponents for two-dimensional percolation.

The near-critical random bond FK-percolation model Critical exponents for two-dimensional percolation

Reference 53

Resolution
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source=pdf_text observed=2026-08-04T20:05:20.168685Z digest=sha256:e7e00cef8c89609e5ab53c39a43d6746629548d9778abce41db99858cf1bffca

Observation a7d35e16-f65c-41c9-985f-cdd7359b85c8 · outbound

This paper cites Noise sensitivity of percolation via differential inequalities.

The near-critical random bond FK-percolation model Noise sensitivity of percolation via differential inequalities

Reference 54

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source=pdf_text observed=2026-08-04T20:05:20.205932Z digest=sha256:e1e2a664ff15c81b73b6428a96d7f670aca52f38548e09e50bde9f27ab55b732

Observation 9fa5471c-a4e0-4cf4-8e87-7a764aeccdf5 · outbound

This paper cites Le probleme de Skorokhod sur R: une approche avec le temps local, in ‘Seminar on probability, XVII’, Vol.

The near-critical random bond FK-percolation model Le probleme de Skorokhod sur R: une approche avec le temps local, in ‘Seminar on probability, XVII’, Vol

Reference 55

Resolution
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source=pdf_text observed=2026-08-04T20:05:20.240897Z digest=sha256:e1929d111c0373c58bb488aa2ec79bccde77254250c56ac7eb57daa314690ce3

Observation 3fe23e4c-2331-489d-b260-98a0846caf43 · outbound

This paper cites Statistical mechanics models via the lens of potential the- ory.

The near-critical random bond FK-percolation model Statistical mechanics models via the lens of potential the- ory

Reference 56

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source=pdf_text observed=2026-08-04T20:05:20.282862Z digest=sha256:ef08b19c3c52e28691bad22ec690d3bd24ab9a50ea704241673f1260322dd2d3

Pith citing papers

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