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Paper Citation Record · LEDGER

Exploring the phase transition of planar FK-percolation

As of 15 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 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

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 2026-08-15T06:32:42.880941+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
raw_fallback, observed 2026-08-08T05:22:38.450073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.671334Z digest=sha256:be05c6ef85287e309e07f578ae583d48c36ca1c97d4f31384bdc0a5578cfc2db

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.674696Z digest=sha256:0316799d5bd5a03ff0ce9aea4ca0aef4e9504155ff068f2d0de7ebea047effb1

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.679424Z digest=sha256:d76f416c086b1f2101163d0e3a76ef4b572b549d1df6dbcbb8749c6c06afef73

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
raw_fallback, observed 2026-08-08T05:22:38.420029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.682757Z digest=sha256:23b5716760b3e48e723cb44a45314f8b3ecdbcf704cd2635855a7f62ade1e928

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.686073Z digest=sha256:14dd4c773cc35dca3fcbd7e9fdccd2610758f430a3f48e4e27c6f2ac42b120e4

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.689747Z digest=sha256:27c616ccdb02ddc954ff596644f54152591075cf40877610a12f846e079adafd

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.693113Z digest=sha256:9f08147807baa3d5df7943027b4e29f8e7dd271ebbd9b289557dc967c9c63f04

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.696343Z digest=sha256:72f6e13691e6632d0c11587f753b724fc989e2f55e0a81cc7ee687446c9f026a

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.699475Z digest=sha256:973af5a07ded4e444518f0b397a31ba0817fbc8652d8ed9895d59d8b6b6dbd4d

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.702546Z digest=sha256:2c009ae1c3ee05722ce5e391b2e036bdc729c7c32c7980620c56ab4b35a2b90f

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=sha256:2d3d50a62380df24242b08e35fb056e3f15d60432182120d5c956deea38d5a38

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.709158Z digest=sha256:4908070f4440d9047b694280c7e7d90cd5bc3f068dc2baedee43b3cd1e8cf451

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.712319Z digest=sha256:753c95d456eb9b7ef0fa5d96babb3fad3e9831bbf9357d29c26baf0b25112bb3

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.715369Z digest=sha256:5f7c28f0c3eb266cd148dd53d9fbfc7905e333adf23acba926232fce5a451328

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.718615Z digest=sha256:fdccca2849181c19b20d4cee87fb6b10deb31a3baa7cf95de464fde66bcd680e

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=sha256:226a64340a72cfa1ed224922970811891434800635bf0f3cd6211c9152e56b01

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.725193Z digest=sha256:709c550382106652a5e0cb3b43d7d77968d50d56defc047c65b2c727717bd64c

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.728267Z digest=sha256:3a95ed1be857a8ff808c9ae2742197285a8d085e7be3be2fe776d10d24290286

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.731582Z digest=sha256:512458ac24747455c12741b88288b745aa231e1b9c71dd41c8ab104202e97eae

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.734554Z digest=sha256:6ea382a36222845e053feaabbcc35a653f731a2f2955d85a8c45cc2a07b8b755

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.737819Z digest=sha256:1a0ddbe3501cad68f33bd364f241194227aebe41af2d7ac1a312fc7377420c9b

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.741039Z digest=sha256:fbe60363f07490ff152a8fba829b0978ae46737e584f3d77e9cca5cb9cd9231b

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.744270Z digest=sha256:650cf48a49a0074df7afb696fd5c63b9b0af9c5b356632e2bf7df78de7b9fe98

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.747389Z digest=sha256:930fc4ac3bb8442976cc8db8576e3e1b950b27a291d1e8ab86bc049470ab062b

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.750542Z digest=sha256:e07b73e4a5a85d83b7a952043ae8071d33be141290a8102dc9f304276eff7506

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.753686Z digest=sha256:0139c3a83b5305438e141bbd579ba5d81c7bba0792fd9dc6ec3976c428166eeb

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.757068Z digest=sha256:470042c440a3b657f658d7a722e221ac9b2c62cef005dd98268f5c7923f62a30

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.760165Z digest=sha256:cd13f093896fb1d087261880b203a3b4da484c6bf0db74599eff23c499ce57b7

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:f454e0a03d5c2bfbae3b8d75a4202876088913bafa9e90f3e0e4765ebc214046

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:cd87efbfeec79e3b105383f6ada5f59380211979c91f31de65515b94e12c3dc5

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.770017Z digest=sha256:322753aba8bf793c8c3f7207cb0809f76fc9c90c3a474b7e4354000bd1dc0475

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.773043Z digest=sha256:2817fd6b544b70d72f8f76dc098476f94c43efb65befcaae4796e45634079c6e

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.776301Z digest=sha256:986990a429b2c44e1c97eebf415760d3ab76e254783e621874056c420a25892b

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.779403Z digest=sha256:9fde36d91eb316e621be1cd5cff64df903de9d00985fa6272532a78543b6e9ca

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.782741Z digest=sha256:0e0a462fbe89a4ea2df4ddb65658f1f483ca02e392e277a77f0ccdb29a3f7b1a

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.785973Z digest=sha256:6fac39e63fefd16235aa6a6ad1c7834ddbf88fee051f7cde59886ea030e34474

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.788936Z digest=sha256:2c7516835552f9132e47a3e8f74499a080a7ea7b5ac0c35bbbc1974d45b8e3f3

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.791989Z digest=sha256:06e2fa1ac818a2c6f48661642d284882131aa7e7de438db938f49662c961c4b4

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=sha256:0abfe038f61678315f23aa16450137927f115ffe23f593e0ab0667d266079afe

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.798521Z digest=sha256:ab2108bb56c370487de8881f66c94d1d9738d4df7cfbf8465f2708eca4e058e1

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.801668Z digest=sha256:d3ba90e51e472a90708998eb29b21ee327eb1c00a36af060bfa8a64a69115e9f

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.804993Z digest=sha256:0597c9be0113c4a7351a53a68d3becf639c5c10bbab6c3e189918003ad644381

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.808369Z digest=sha256:87710950cf7a18579ec6585992125902ff67dfcbfdef305aff648f0ff2791093

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.811629Z digest=sha256:c796cc1ab374585b70fd0502e2b72d27490cc705af01843d546ae6b924d027f2

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.814683Z digest=sha256:9f0b78665de5b1176c7a558bef347fdff715881d5d09c960642b93cf639679f7

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.817819Z digest=sha256:0d9eba52c6aef2df390eedc5635811109737666290a493ea2d30fba600f36a9b

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.820971Z digest=sha256:43955233965f85900c3d3b214a08e1079f408cd45382f1f879457097b1e9a083

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.824066Z digest=sha256:88e861abd08adc6c206e429ca26fdb9f7e7497f3ef36432629f78467141793c1

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.827343Z digest=sha256:4c6316620545c6818e4035d0888b9e69b647e8273709d55a67aa90110076959c

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.830545Z digest=sha256:3f795c51dd542770b971d590a99f0d45ba86e417e88d5b5815cd370ab567f7d6

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.834079Z digest=sha256:0f8681f1eb97a1d0fb5b68199f5043d981b6c9b99db891e1bb548ac38e4fefd7

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:b59ab54843ddd6c0968f7f30cc3f5a82f9b464d9ee82a51c6969cea48d403406

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:b0f5908d812db1389d41bc3c0d734c2a87d480131eb51239097816d60b07430b

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=sha256:905b6adb34b61762f5aaf1e8bbcca51776007e77dfbbd12083a263e0311af72b

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.846682Z digest=sha256:dd73923fc4b2287798e3dc0acacf8b2f7a2451afaf57e5fafe18300fd234ad8e

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=sha256:5b0f2e4b92c2dc758a06f22b6d20c7119f7c1b5f71a4dd49ca84571b836f4c2c

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=sha256:9573005ae70b284196a5e945ee9b686330d6ba18c1742238d2270388604bb343

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.856729Z digest=sha256:c13f379f16bafea8590936a50fc914bc5abd44e04e65d2208b79f66aec16297f

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.860158Z digest=sha256:77dba255c7b582b2bc822226bc4c99ca9d2d3bb62e3ef06004b0abed6c110d11

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-08T05:22:37.863467Z digest=sha256:9edfbe7253ae9d927731b89727dfc1785a0b67a4153452544f8f71be9c829e5e

Pith citing papers

No inbound Pith citation observations are available.