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Paper Citation Record · LEDGER

Mixing rate exponent of planar Fortuin-Kasteleyn percolation

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2502.09950.

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

pith.paper-citation-record.v1
2502.09950 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T20:05:13.181204Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T20:05:19.757884Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

  • verified exact2
  • verified fuzzy4
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6a46a7f5-07d9-43ac-83a6-da649cf1683e · outbound

This paper cites Integrability of Conformal Loop Ensemble: Imaginary DOZZ Formula and Beyond.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation Integrability of Conformal Loop Ensemble: Imaginary DOZZ Formula and Beyond

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T20:05:13.127847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:05:13.127847Z digest=sha256:c1e6131f61e36b88598465231c666ff91e93f2816aedfc4768431b8df09bcbd4

Observation bc65be92-7f7d-4cc2-b3bf-8b039ea309e0 · outbound

This paper cites Probab., 47(4):2049–2086,.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation Probab., 47(4):2049–2086,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:05:13.578511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T20:05:13.148221Z digest=sha256:099318285dac9041cc5cd44f44936727a0feacd3eaff73869e22aa2e86847959

Observation 2930100d-54a0-42f7-96d0-19d744254bd8 · outbound

This paper cites Review on the probabilistic construction and Conformal bootstrap in Liouville Theory.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation Review on the probabilistic construction and Conformal bootstrap in Liouville Theory

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T20:05:13.159053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:05:13.159053Z digest=sha256:1f4493748471c2011c5a3a0eb5f9de102481d7c2cef715b089d35182ded65f0f

Observation cb5df2c3-5c79-4ae1-961c-de0541e2cb94 · outbound

This paper cites Exact conjectured expressions for correlations in the dense o(1) loop model on cylinders.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation Exact conjectured expressions for correlations in the dense o(1) loop model on cylinders

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:05:13.556289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T20:05:13.170647Z digest=sha256:6e9d342cfe87e80ec64d678616205066a94e5e17ffc595d2483d3a7b1ab5ffed

Observation 11e82bef-e46d-4413-965f-6f92175a3853 · outbound

This paper cites Conformal invariance in random cluster models. II. Full scaling limit as a branching SLE.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation Conformal invariance in random cluster models. II. Full scaling limit as a branching SLE

Reference 1987

Resolution
unresolved
no resolver link, observed 2026-08-07T20:05:13.163181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:05:13.163181Z digest=sha256:9e4be5ee7193c2ddd5271cbabfa7cc94c179402c1a40e7cf2fad7bdd0a611404

Observation c766131f-5714-4289-a224-9814c6c7fb35 · outbound

This paper cites Conformal loop ensembles: the Markovian characteri- zation and the loop-soup construction.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation Conformal loop ensembles: the Markovian characteri- zation and the loop-soup construction

Reference 2005

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:05:13.544851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T20:05:13.174015Z digest=sha256:6cdf4b613700e7f153cb9de37ec16373fea2db43e7a8d23ad8a18ff2d59990fa

Observation 3ae49766-1314-425d-ab3a-b0423299f273 · outbound

This paper cites Conformal covariance of connection probabilities in the 2D critical FK-Ising model.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation Conformal covariance of connection probabilities in the 2D critical FK-Ising model

Reference 2006

Resolution
verified exact
local_arxiv, observed 2026-08-07T20:05:13.272681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T20:05:13.152137Z digest=sha256:c12ad933d4430de83e9f3b282b4f965dabb5603ef420c32301e72b16c4fb0fe1

Observation 2e78b493-c330-4a6f-bf5d-d01bd9ab35a3 · outbound

This paper cites The bulk one-arm exponent for the CLE$_{\kappa'}$ percolations.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation The bulk one-arm exponent for the CLE$_{\kappa'}$ percolations

Reference 2009

Resolution
unresolved
no resolver link, observed 2026-08-07T20:05:13.166863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:05:13.166863Z digest=sha256:59332316302948263b8e93e3899103855d3bb64bc3f9b80a9323687ea1c76d9c

Observation 07317ba1-9a16-4c1b-bd91-012737325c8d · outbound

This paper cites Field-measure correspondence in Liouville quantum gravity almost surely commutes with all conformal maps simultaneously.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation Field-measure correspondence in Liouville quantum gravity almost surely commutes with all conformal maps simultaneously

Reference 2012

Resolution
unresolved
no resolver link, observed 2026-08-07T20:05:13.177566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:05:13.177566Z digest=sha256:aac86e8747aafaeaf771e45d261764ffa79e7222013541bd0713152257e04509

Observation d97fe55e-ae4e-4ee6-8c51-577b63e9cb64 · outbound

This paper cites Annulus crossing formulae for critical planar percolation.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation Annulus crossing formulae for critical planar percolation

Reference 2016

Resolution
verified exact
local_arxiv, observed 2026-08-07T20:05:13.215891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T20:05:13.181204Z digest=sha256:1908958efe8bd9f80c2373f1291a183440a50aadc6905e27a0833380070e1b93

Observation 2e3ea20d-2ec6-4a4c-a1b6-2b3598edb641 · outbound

This paper cites [DCHN11] Hugo Duminil-Copin, Cl´ ement Hongler, and Pierre Nolin.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation [DCHN11] Hugo Duminil-Copin, Cl´ ement Hongler, and Pierre Nolin

Reference 2020

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:05:13.567773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T20:05:13.155681Z digest=sha256:0155d92429209d9015b6a2eab589529286d27117eb5ef9c47f484122af7ed1c9

Observation e73f6cd5-bc25-4a9d-ad5f-a30c940b6d76 · outbound

This paper cites SLE Loop Measure and Liouville Quantum Gravity.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation SLE Loop Measure and Liouville Quantum Gravity

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-07T20:05:13.132519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:05:13.132519Z digest=sha256:58b31210ffb0aabcc1b1b08e7fb627c382baadcf80df5a38e3ce9d53339606bb

Observation 931d0abe-bdf4-438b-9f6e-581d19a80394 · outbound

This paper cites Boundary touching probability and nested-path exponent for non-simple CLE.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation Boundary touching probability and nested-path exponent for non-simple CLE

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-07T20:05:13.144333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:05:13.144333Z digest=sha256:0234407c5d4d1ba2e48c160aab2cdda9d37859aeebcbf4c4e4cb1f4f23ffe156

Observation ed314a26-40b1-483f-8066-83ec0b781a98 · outbound

This paper cites The moduli of annuli in random conformal geometry.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation The moduli of annuli in random conformal geometry

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-07T20:05:13.140444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:05:13.140444Z digest=sha256:01c0e005618ff3753f279450a919e748ff3d74078caeede21dd26393950892b4

Observation 8d6c8655-7447-4a04-91e1-dace415326c4 · outbound

This paper cites Conformal welding of quantum disks and multiple SLE: the non-simple case.

Mixing rate exponent of planar Fortuin-Kasteleyn percolation Conformal welding of quantum disks and multiple SLE: the non-simple case

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-07T20:05:13.136793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:05:13.136793Z digest=sha256:6333f821118b683bfad406d1c6b22ed36e21db0ac885d962a93872652acaa577

Pith citing papers

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

The near-critical random bond FK-percolation model cites this paper.

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

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-04T20:05:19.757884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:05:19.757884Z digest=sha256:2a85e84aef331dd210c60263f3c726c076bd331b50498a025c27f64cbfae889a