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Paper Citation Record · LEDGER

Mixing rate exponent of planar Fortuin-Kasteleyn percolation

As of 10 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 2026-08-10T06:31:04.303077+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=sha256:9637f0d002dc89a7af7182b6c42a2859182d1011e0c8fde2cdf546b99ed5f31f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:05:13.148221Z digest=sha256:6bf8871bb90ada0f747573a124129f2e2bac70fe4bab929faf7d1c4b835647bf

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=sha256:92ebfc5de42c303c2d37dc6e0777fbf2ea7511b02f2f39b447a36deb4860d50f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:05:13.170647Z digest=sha256:0c96ee666f318524f9a6eb2f5bf490bac1e2250caa49d11b172b60ce91a612b8

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:dbcad0df26e61dd844a129133341612f9eab576cad5115ded86edd617e47d132

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:05:13.174015Z digest=sha256:fe5cd0dd784b856b86b555ae1158133514565d95a69236ec438b8b4c70b10f2d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:05:13.152137Z digest=sha256:6e61294b7b032debc977ece2b65ae78530550b32e22e4c2d0d87ebf192d9c150

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:c85082a760c420914d0ad656215f366d56b0dda93efaf5751fdf58286e8f6006

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:e83c7c01cf19f87e77f922c4719c7ca22b7bc8cec781ceb1c428c6da63d9a45c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:05:13.181204Z digest=sha256:83b289a05e806049497ae791b8f1276df09753c0e30829143925aa45ed72abbb

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T20:05:13.155681Z digest=sha256:bd4d8c78e94fb6a628f9e4af2f5cac8166a5ee8f9ad14416049a42e41cca8a0d

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=sha256:6e1002e358273c1d0a25f944bf1decda14dc346fb1d7ba906def066a37057036

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=sha256:58bfbb030943be2b64cce5e838fd90703dff5bc68ccc9b5089c7cbef66a4228a

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=sha256:2fcae512289509a3ff16c1a0135a7ae23e6a5c6ee7cf87cb078718eb55f541ae

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:ec99116f9134d134840b4ab9c110d64fec7da0021a76b04371a1ebdcf390f971

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=sha256:1dcf26786b66fc88609a2b95df9090ade36e4239de79a0d1babfeb81a0f6aaea