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Paper Citation Record · LEDGER

Exploring the phase transition of planar FK-percolation

As of 11 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2502.08394.

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

pith.paper-citation-record.v1
2502.08394 v2

Coverage vector

measured 61 of 61 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T05:22:37.863467Z

measured 61 of 61 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

61 of 61 outbound references displayed

  • verified exact0
  • verified fuzzy37
  • unresolved24
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4935cef-20c5-4c5d-84e0-34712718e59f · outbound

This paper cites Aizenman and D.

Exploring the phase transition of planar FK-percolation Aizenman and D

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 2026-08-11T06:34:44.6726+00:00.

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Observation 4581e73c-3a35-451f-90cc-bef12165d555 · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 2

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation ec5a04a2-1fe0-4ada-b277-9146417ca043 · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:38.440199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.674696Z digest=sha256:f55f161be2382884209c779ad4b1afcaf4778e7e4a633246af6b28b1ccce017e

Observation c6284c8a-255f-4e0e-8467-4134e68624da · outbound

This paper cites Beffara and H.

Exploring the phase transition of planar FK-percolation Beffara and H

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.679424Z digest=sha256:afbae9e1f3590b5b1596a2c7a993cca9a8929ac2b9dac0355d416c41f6a6df1a

Observation 9794eed5-620a-4482-9af4-289f53dc8ca3 · outbound

This paper cites Zur theorie der metalle.

Exploring the phase transition of planar FK-percolation Zur theorie der metalle

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.682757Z digest=sha256:30dd1fafd90240fcbefb5b10a7d551ab83d430f1db792e767211288a4889d4a7

Observation 1156d488-7eab-42c1-97db-b61d730744b0 · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:38.410186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.686073Z digest=sha256:90730bd3448ee9c9948de51b29426834d0dc6df182c58330ce2189d0ea2e9516

Observation 58917d56-dba7-4ec9-bfce-766f908a78a4 · outbound

This paper cites The influence of variables in product spaces.

Exploring the phase transition of planar FK-percolation The influence of variables in product spaces

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.689747Z digest=sha256:8ec96fc38609a83f8af35d778839d1cdfc86e07f6e73ef54d3fc871a9e7157fc

Observation 6137a94e-339e-40e1-8f70-aa52efcf72ce · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:38.390494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.693113Z digest=sha256:c55884ebdeafde2078e6a84c5c67e61ab734c96004f7f47c381df11c5cf5949b

Observation 07f635b2-dd3a-4340-8f2f-f7ce41b83551 · outbound

This paper cites Percolation on self-dual polygon configurations.

Exploring the phase transition of planar FK-percolation Percolation on self-dual polygon configurations

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.380513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.696343Z digest=sha256:7ca59def158a27fcd0f23ea13eed92fee875d4f57c90a7e4cf9917b3d1158b85

Observation 28514c33-ea23-4932-8a11-e4ec1259bb73 · outbound

This paper cites Kesten's incipient infinite cluster and quasi-multiplicativity of crossing probabilities.

Exploring the phase transition of planar FK-percolation Kesten's incipient infinite cluster and quasi-multiplicativity of crossing probabilities

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.370752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.699475Z digest=sha256:ca207ca51b31bd3311fa289ccc47f2b06dbafe4d51ae041f0ef2264382d884b7

Observation 03be9c52-da3d-406c-b894-609f16a7dd25 · outbound

This paper cites Ising model and s-embeddings of planar graphs.

Exploring the phase transition of planar FK-percolation Ising model and s-embeddings of planar graphs

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.361005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.702546Z digest=sha256:91f4304a024466cf000f92c36808c8554633ddff4b6de8e12e57cdf16810a225

Observation e394d124-323e-4f33-9cbe-2109f4a6068c · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-08T05:22:37.706002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T05:22:37.706002Z digest=sha256:7ef44d85458347b23dda8b297700b28a702aca6ef590efeee7df39e80af07cf7

Observation f766b18a-db4b-4bb1-aab4-2a5082dc2d70 · outbound

This paper cites Chelkak and S.

Exploring the phase transition of planar FK-percolation Chelkak and S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.345091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.709158Z digest=sha256:a6b375ed9e484909f82bbbe1f0166dc5f5e13051713fa5a5cce3b40c08749c93

Observation fe671a72-9ba3-447a-a555-6271a8886822 · outbound

This paper cites Lectures on the I sing and P otts models on the hypercubic lattice.

Exploring the phase transition of planar FK-percolation Lectures on the I sing and P otts models on the hypercubic lattice

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.335809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.712319Z digest=sha256:d2cc4947da1a8c60e1a206a0595ccd1daa51d68011ca9649e023c35ddd10c206

Observation 441b2678-74dd-4f86-9a0a-0291ddff51d2 · outbound

This paper cites The B ethe ansatz for the six-vertex and XXZ models: A n exposition.

Exploring the phase transition of planar FK-percolation The B ethe ansatz for the six-vertex and XXZ models: A n exposition

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.326351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.715369Z digest=sha256:aa54fd0954a026f0d2b67abadf64d494f712d7fae6389d2bd6271ec025fc8dcb

Observation 55d29da4-eb7d-4011-885d-e503a2e5c17c · outbound

This paper cites Discontinuity of the phase transition for the planar random-cluster and P otts models with q>4.

Exploring the phase transition of planar FK-percolation Discontinuity of the phase transition for the planar random-cluster and P otts models with q>4

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.316939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.718615Z digest=sha256:ca77ffccd12f81242e0528dd4de77de9cd440d6d87b2d8dd1b66db6f854f9f4b

Observation 32ed7cb4-5963-40d2-80b6-8299c34abee2 · outbound

This paper cites Rotational invariance in critical planar lattice models.

Exploring the phase transition of planar FK-percolation Rotational invariance in critical planar lattice models

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-08T05:22:37.721706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T05:22:37.721706Z digest=sha256:43c34ead054641557d57b313dca23f54f9a7edd9646da76c3a3bdbda74cee16b

Observation eb6f9ed7-c7f4-47c4-b22d-2ea288e383bb · outbound

This paper cites On the six-vertex model's free energy.

Exploring the phase transition of planar FK-percolation On the six-vertex model's free energy

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.306974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.725193Z digest=sha256:e0bb8308bc63dc6e79ae367364e9fce5faf877d371a8e67b0f430209bcbc44ba

Observation e3aba17e-c4c1-4fee-914f-f7468730b15c · outbound

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

Exploring the phase transition of planar FK-percolation Universality for the random-cluster model on isoradial graphs

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.297689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.728267Z digest=sha256:67e0008bb9cfa9498493f86621f18f0d5335a7296b9cecfce68955b2868788c4

Observation df8434ed-2b44-47b6-a1b2-70d8a2f12667 · outbound

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

Exploring the phase transition of planar FK-percolation Planar random-cluster model: scaling relations

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.288005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.731582Z digest=sha256:9f53e57e7a5cc7cf9e147db3fc511a21a8ea3d76e20c65af498555dcb3802aed

Observation 95bfb327-30c8-421b-88b7-6b26bdda7286 · outbound

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

Exploring the phase transition of planar FK-percolation Sharp phase transition for the random-cluster and P otts models via decision trees

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.278101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.734554Z digest=sha256:3ce3a2d5d51a88f182a7472f7aa49514b14a1d26ac3e4335cd993548d7aca222

Observation 41339513-8214-466e-af0f-d10e2784a45b · outbound

This paper cites Continuity of the phase transition for planar random-cluster and P otts models with 1 q 4.

Exploring the phase transition of planar FK-percolation Continuity of the phase transition for planar random-cluster and P otts models with 1 q 4

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.268479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.737819Z digest=sha256:c71873832a98f0a6907cac6b31a951b7baa069cff2ba1381e7d42c7aaed69547

Observation aaf9352e-d5d0-4e23-b83a-a953c2404d0b · outbound

This paper cites Renormalization of crossing probabilities in the planar random-cluster model.

Exploring the phase transition of planar FK-percolation Renormalization of crossing probabilities in the planar random-cluster model

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.258108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.741039Z digest=sha256:2d8baf5e8af956c92cbfbd5911cbd967389ffd813143c8fb952459ac48b381a1

Observation cfc4f18d-1522-430d-830e-164dbdcc57ec · outbound

This paper cites Duminil-Copin and V.

Exploring the phase transition of planar FK-percolation Duminil-Copin and V

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.247961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.744270Z digest=sha256:6b9e2b0d0af1762c5c4069cf9159b2b3d60cc7011ce989be719fa1b488bf019d

Observation a3641ecd-7af9-4b2c-9beb-b4373acb912d · outbound

This paper cites Duminil-Copin and V.

Exploring the phase transition of planar FK-percolation Duminil-Copin and V

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.237380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.747389Z digest=sha256:0cc7da8173fbab1b2638a5deede6b1544b071a1d4902d7bbd7ef6e1b6f257837

Observation 0f079975-76ca-478f-84ec-eb40536722db · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:38.227455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.750542Z digest=sha256:cc1a169dc29d91886307192d0de359ae5f8db7956776c25fb77f21cadf407482

Observation 9ea16195-473d-49d3-88aa-d132666ee5af · outbound

This paper cites Duminil-Copin.

Exploring the phase transition of planar FK-percolation Duminil-Copin

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.217823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.753686Z digest=sha256:838328fd102e92ee8ebce5f6a460f9158455bc1d8c6a837432a0a4af3b4bee1c

Observation d6e6d06e-2908-462e-8e68-657ba3fcc9cb · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:38.208496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.757068Z digest=sha256:e33dd32fa4de5e9d1e2158eae55ab501fdece024560b6cd8b329ec2f72ecd661

Observation b96602a5-0725-49a2-be63-431007a2f1c4 · outbound

This paper cites Grimmett.

Exploring the phase transition of planar FK-percolation Grimmett

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.198651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.760165Z digest=sha256:f95ac42a848ce3b51f7d6582e18e924f4d65de6975a376649e98eb0e70a057cc

Observation b8e547ea-b6c2-4235-a194-2db12642446d · outbound

This paper cites Delocalisation and continuity in 2D: loop O(2), six-vertex, and random-cluster models.

Exploring the phase transition of planar FK-percolation Delocalisation and continuity in 2D: loop O(2), six-vertex, and random-cluster models

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-08T05:22:37.763114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T05:22:37.763114Z digest=sha256:d083e98695eb6b65b8eabda6f7db3ec2893da5376929e297aef49418c44f9dbc

Observation 5479a2ac-69c9-4637-92bb-12b9af2ed13d · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-08T05:22:37.766776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T05:22:37.766776Z digest=sha256:5eb9570fecd0322bd81bce349f3d1c890522cf25ba0137df8229769691cda829

Observation b7afd78e-be36-44d3-a5b1-7123e9769446 · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:38.183189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.770017Z digest=sha256:a5aa55bcf7c2bb2434f5fd8436120c143ab6ddfc05738cd5ab6c4192f3e2bd5b

Observation 34102c36-8b79-4d3c-a5c9-67696df36588 · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:38.173726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.773043Z digest=sha256:ec030c9370a1ebd0f20a0ee8847114e9cc64b06cf761b7d44563a02eb0543b9e

Observation 80140562-1a4a-4bdb-956a-28ac8b0f9ddc · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:38.164177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.776301Z digest=sha256:bde6e2d964dad4c38690c87b7f7fdf488475972bdfa96fe3b7a8445090bb02f2

Observation d2e87ff7-8868-4fd5-adab-329c8856a602 · outbound

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

Exploring the phase transition of planar FK-percolation Pivotal, cluster, and interface measures for critical planar percolation

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.153648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.779403Z digest=sha256:0bc8373b0fb7e33765b37ba746dbd2ead5c7922ce96566676179b113351bae26

Observation 1581c657-4cd3-40d1-82e5-759b0fc6020f · outbound

This paper cites Grimmett.

Exploring the phase transition of planar FK-percolation Grimmett

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.143600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.782741Z digest=sha256:93aeb4a12013f07812d0d36ff21515da3c939770214be0f88666f73131e8d2bb

Observation 28432933-f0eb-40af-8a7a-c9fa8d32be24 · outbound

This paper cites Grimmett.

Exploring the phase transition of planar FK-percolation Grimmett

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.134084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.785973Z digest=sha256:7d245db72c7b17f9e77275fa9751822f79d91cf0958a493fff1e657a424e926e

Observation 20ce5b92-e65f-40fe-9a16-d2ef660f46ce · outbound

This paper cites Universality of large-scale geometry for critical random-cluster models.

Exploring the phase transition of planar FK-percolation Universality of large-scale geometry for critical random-cluster models

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.124513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.788936Z digest=sha256:c91e872011ce6e1a208acba3a1e80b7ce3ff56e1cb9f880ffea040f5ec9dfaf2

Observation 3da8cd8e-874e-4012-baa5-859382fe77d1 · outbound

This paper cites J \'a rai.

Exploring the phase transition of planar FK-percolation J \'a rai

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.114579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.791989Z digest=sha256:4c603068b508d44b9194cab0721a092ea3ed1fe1575281dd8bc4488378bd5235

Observation 57979b93-bd7f-47c8-aa94-614689e656a8 · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-08T05:22:37.795301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T05:22:37.795301Z digest=sha256:e6fc9f620324b146fe063b879ea7d504890499fbcede98c67bcc298af40fce75

Observation a438f843-725c-4ac6-9343-e47c87fbba18 · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:38.098682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.798521Z digest=sha256:4026bf28199542a3856b5e6d21b88e1e175641be0f3e47514945eecfb21d12c0

Observation 8b97b0fc-50a0-46da-b587-8bc963cd9df1 · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:38.089356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.801668Z digest=sha256:39178cc35ecc93d83c4c5fd3dd9c681efd4b1c67e211cc347db8459eee94fd2c

Observation e75f8dd9-b3f4-4149-82f2-c520504411d9 · outbound

This paper cites Kahn, Gil Kalai, and Nathan Linial.

Exploring the phase transition of planar FK-percolation Kahn, Gil Kalai, and Nathan Linial

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.079136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.804993Z digest=sha256:7708b5ece6fdfc6924c555e9a4c4d150794fd67f63d5b979027b62c3166986d2

Observation 8458389b-f8bb-4696-9d50-59b0fc7b7a19 · outbound

This paper cites Rhombic embeddings of planar quad-graphs.

Exploring the phase transition of planar FK-percolation Rhombic embeddings of planar quad-graphs

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.068964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.808369Z digest=sha256:89e9cd89d13eac0e4a087c9f21af4018ae2b68d6d10621771e520f1d6a0b72d6

Observation de2fe515-3513-4780-ad48-d03a7cfdd2b4 · outbound

This paper cites Crossing probabilities for planar percolation.

Exploring the phase transition of planar FK-percolation Crossing probabilities for planar percolation

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.059003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.811629Z digest=sha256:2d32f6a4261d019ef016f210100f2715c9f60472510bc582b27bf55e04a44916

Observation a13bd803-2f57-493a-995b-2e362db65459 · outbound

This paper cites Lindvall.

Exploring the phase transition of planar FK-percolation Lindvall

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.049262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.814683Z digest=sha256:8161e1707657e4b8dc7204dca4c921b9e45531b33404ad5fb956b4f809c56588

Observation 020848b4-704e-4d51-a5b2-757fc18d9643 · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:38.039655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.817819Z digest=sha256:c76fb1d009aba40589e9f2b853f0cd335a88531303d244326cfd0aa7e80b4eae

Observation 74eac746-5294-4cee-887f-26a4dc66aaf9 · outbound

This paper cites Discrete R iemann surfaces and the I sing model.

Exploring the phase transition of planar FK-percolation Discrete R iemann surfaces and the I sing model

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.029039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.820971Z digest=sha256:20e2d3b395557368c488e8363427a9fb20b3ac39ad15717b168b62699ffa52cd

Observation 3fb63331-8f4d-46d0-9d0d-c48f6cbf311b · outbound

This paper cites Random geometry and free energy of critical planar lattice models.

Exploring the phase transition of planar FK-percolation Random geometry and free energy of critical planar lattice models

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.018993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.824066Z digest=sha256:452d69ffc95151e10b0a14b0dfe362438a914306f01d3b9c95fcb54663d7e527

Observation 3177c016-b5ae-43cb-b4f5-0ad713779169 · outbound

This paper cites Peled and D.

Exploring the phase transition of planar FK-percolation Peled and D

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:38.008850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.827343Z digest=sha256:f2ad506a76e8912c14bc78263eb30e280c3987cbcba36fa9a756fd8792d5bdc4

Observation af1bf201-33e3-49f2-b37d-4800369f935c · outbound

This paper cites A short proof of the discontinuity of phase transition in the planar random-cluster model with q>4.

Exploring the phase transition of planar FK-percolation A short proof of the discontinuity of phase transition in the planar random-cluster model with q>4

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:37.998088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.830545Z digest=sha256:2b69defae5b2cb1cad9bb3dfd9db999a73dd9686492497da0d9a985dfdf536c0

Observation 96fe87d3-c293-462f-900f-3bbb3a40a659 · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:37.987926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.834079Z digest=sha256:ba9285d9270dc77e2ea28882bc75ebdbce38d0cfc0a7521d8075d5251d7577b4

Observation 55a1ed07-9968-462e-8d64-8e40d4158264 · outbound

This paper cites Exploration trees and conformal loop ensembles.

Exploring the phase transition of planar FK-percolation Exploration trees and conformal loop ensembles

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-08T05:22:37.837252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T05:22:37.837252Z digest=sha256:ac9b77cb7432987cd7c8ccb9facafd801a492e8dc0fd6513216135b6c3a42e67

Observation 1c450eeb-1903-4ad7-8db7-ef31346e2a96 · outbound

This paper cites Critical percolation in the plane: conformal invariance, C ardy's formula, scaling limits.

Exploring the phase transition of planar FK-percolation Critical percolation in the plane: conformal invariance, C ardy's formula, scaling limits

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-08T05:22:37.840406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T05:22:37.840406Z digest=sha256:c96eab534ad1d6b9dbb1e313ea07c5f5385fe2d769ad68a2b7ff3dbc7ebbafcc

Observation 7a58c783-6700-41b1-a027-1b01a54075da · outbound

This paper cites Conformal invariance in random cluster models.

Exploring the phase transition of planar FK-percolation Conformal invariance in random cluster models

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-08T05:22:37.843506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T05:22:37.843506Z digest=sha256:824615a075b61d9b0b95afe1eef62fe26d59e4a90874f281eed3de9e4b57ad6a

Observation b687b6fd-ab64-4d51-a586-b2513571f1e8 · outbound

This paper cites an unresolved cited work.

Exploring the phase transition of planar FK-percolation Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:22:37.959419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.846682Z digest=sha256:85ee28173a64f531375e407b1810da8f8bf6657543c4db6c20c139aa5573dd86

Observation 5a510c98-c034-41ad-926b-dc7e8711243f · outbound

This paper cites Conformal loop ensembles: the M arkovian characterization and the loop-soup construction.

Exploring the phase transition of planar FK-percolation Conformal loop ensembles: the M arkovian characterization and the loop-soup construction

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-08T05:22:37.849927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T05:22:37.849927Z digest=sha256:5b2b947213efdd352ad5a453ccd3a3325017c9be219ab6023ff6bdf089a56d4d

Observation 4e8d5a1f-7b6f-49df-8253-15a6860c307c · outbound

This paper cites Sharpness of Bernoulli percolation via couplings.

Exploring the phase transition of planar FK-percolation Sharpness of Bernoulli percolation via couplings

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-08T05:22:37.853215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T05:22:37.853215Z digest=sha256:f11c9dde7c602250a01e6655ab1e65800c4bd0e9d3cfbd1c514f568228345254

Observation 94974f9c-d24b-42f2-94a8-475fe84320c4 · outbound

This paper cites Random planar curves and S chramm- L oewner evolutions.

Exploring the phase transition of planar FK-percolation Random planar curves and S chramm- L oewner evolutions

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:37.943723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.856729Z digest=sha256:bf50897ec51d88c87a354444d8df827922b1c28b22e4cdd5922112af116e8c66

Observation c2239f36-06d6-43e1-99ce-f86d07261a04 · outbound

This paper cites Lectures on two-dimensional critical percolation.

Exploring the phase transition of planar FK-percolation Lectures on two-dimensional critical percolation

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:37.933715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.860158Z digest=sha256:8d1bf8c586ae178b7f13c7e96a72e10beee6331d2abf524ec9e47795bd200f99

Observation 1873fbbc-6c28-4fe5-8336-d11b2bc4b842 · outbound

This paper cites Percolation et mod \`e le d' I sing , volume 16 of Cours Sp\' e cialis\' e s [Specialized Courses].

Exploring the phase transition of planar FK-percolation Percolation et mod \`e le d' I sing , volume 16 of Cours Sp\' e cialis\' e s [Specialized Courses]

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:22:37.923314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.863467Z digest=sha256:225475a55dc89a24b588e45910a928007cb6dde621e055cb869a725249186f24

Pith citing papers

No inbound Pith citation observations are available.