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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 2026-08-08T06:32:00.761636+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=sha256:9671874a8b652a3ebb504b178b02a337acbc5740529a3f593d32a2c2dd3c7330

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T20:05:13.148221Z digest=sha256:c9bc80e1f4d4e28bfabfc7af9b0cda7e4e4610003d5a48e30da678bbc0cbedc4

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:cd0db0985ff71fad66d1a8f7f98429cd257b2aea00de2d58d8b4c0d0963859af

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T20:05:13.170647Z digest=sha256:f2efdaae8e444ae1483837be6f8fe407d257735a6e86556a23f2c0215fd26fe5

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=sha256:05967d8a43576daa13a75388e29b48ec415703908514cc27c6e1b2d3fbca9357

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T20:05:13.174015Z digest=sha256:182e543c06fc61721f0fb1b68e1e102410abf7367b237aa6564d098310e0def3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T20:05:13.152137Z digest=sha256:eba667d6c607ebaae8ca80d6a7dbbe80e12e985e025a2d563ac8efcbdc523fda

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=sha256:03e7feb34af9187a050cfa72da000c3e8943e27e6c610d0119f44d08c4d27795

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=sha256:973204768b78213741732e66a45f72add3d55f0d0719855f84092c70e84636d8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T20:05:13.181204Z digest=sha256:8b7c25c53fbc07057a29a7842914ee4b7a022ac52b231a3c9171beb3eef48aed

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T20:05:13.155681Z digest=sha256:68baa2e8c97026e696d862bb222a79bb6c6a2403585262647ded6ef211cacb3b

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:cadb0dcdeffddcc33944196ef6e7f26ceb77c1e0c712dfa2a6d97462b4c2e142

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=sha256:13f4f44a1747b2bde9e6141adfa5b8790fe822cff976b8ec477e9fdd8cc6ab09

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=sha256:60c33b090129f014c29e8d721f19aa1f0b807dd51a69a4c934ec0c0a58f7394f

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:abd8ef325bbd99a2d12e723296c5f4afeac6837c2045140a6d6a26a5c9c781ad

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=sha256:0c6cd0f30cfa2fb9898c0d68bd01dda4aa7636e6b70386538f26a186686cc8e7