Paper Citation Record · LEDGER

Characterisation of Markov property on planar maps

As of 17 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2505.05447.

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

pith.paper-citation-record.v1
2505.05447 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:11:36.493457Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact2
verified fuzzy33
unresolved8
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External citation measurements

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Outbound references

Observation 46c94614-c7fb-4ab9-b026-56330291ec99 · outbound

This paper cites Cutting $\gamma$-Liouville quantum gravity by Schramm-Loewner evolution for $\kappa \not\in \{\gamma^2, 16/\gamma^2\}$.

Characterisation of Markov property on planar maps Cutting $\gamma$-Liouville quantum gravity by Schramm-Loewner evolution for $\kappa \not\in \{\gamma^2, 16/\gamma^2\}$

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:11:36.959361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 08fb99df-b0c8-4b3b-8fdd-b91951a57040 · outbound

This paper cites Percolation for 2D classical Heisenberg model and exit sets of vector valued GFF.

Characterisation of Markov property on planar maps Percolation for 2D classical Heisenberg model and exit sets of vector valued GFF

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:36.064111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 863371bb-86e7-4e5c-b607-b80ae839890c · outbound

This paper cites Brownian half-plane excursion and critical liouville quantum gravity.

Characterisation of Markov property on planar maps Brownian half-plane excursion and critical liouville quantum gravity

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:39.052218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 20e04289-d849-40e5-b5ae-93e0f7335717 · outbound

This paper cites The first passage sets of the 2D Gaussian free field: convergence and isomorphisms.

Characterisation of Markov property on planar maps The first passage sets of the 2D Gaussian free field: convergence and isomorphisms

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:39.000624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 609e58fc-a05e-4cd7-b9fe-6392891a741e · outbound

This paper cites Local convergence of large random triangulations coupled with an ising model.

Characterisation of Markov property on planar maps Local convergence of large random triangulations coupled with an ising model

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.939019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 82124bc1-315e-4378-b7f9-bc7072b178a7 · outbound

This paper cites The geometry of the Gaussian free field combined with SLE processes and the KPZ relation.

Characterisation of Markov property on planar maps The geometry of the Gaussian free field combined with SLE processes and the KPZ relation

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.895455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dd032052-f8c1-4419-bd6a-81e70cbb94f3 · outbound

This paper cites Counting colored planar maps: algebraicity results.

Characterisation of Markov property on planar maps Counting colored planar maps: algebraicity results

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.835352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6fd77339-474a-45d0-9d1f-ddf0487fe84b · outbound

This paper cites Counting coloured planar maps: differential equations.

Characterisation of Markov property on planar maps Counting coloured planar maps: differential equations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.797457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ffbe402f-e934-4166-9d44-fab79938acc8 · outbound

This paper cites Planar maps as labeled mobiles.

Characterisation of Markov property on planar maps Planar maps as labeled mobiles

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.755657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 720fb4f7-c12f-4633-bcbd-574bb170b936 · outbound

This paper cites Convergence of probability measures.

Characterisation of Markov property on planar maps Convergence of probability measures

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:36.148605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52be21fa-3a06-4e4a-b673-ab39b6ea98f9 · outbound

This paper cites Local limits of uniform triangulations in high genus.

Characterisation of Markov property on planar maps Local limits of uniform triangulations in high genus

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.681797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation daf51bfe-dc59-4fd1-ab41-f94475de95ac · outbound

This paper cites Compact Brownian surfaces I : Brownian disks.

Characterisation of Markov property on planar maps Compact Brownian surfaces I : Brownian disks

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.461793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 908bf012-cb09-49c8-bb70-3e92ce2ab598 · outbound

This paper cites Classification of scaling limits of uniform quadrangulations with a boundary.

Characterisation of Markov property on planar maps Classification of scaling limits of uniform quadrangulations with a boundary

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.404547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ede14fd8-9b97-47a4-a36c-1b3589bd444d · outbound

This paper cites Self-avoiding walks on the uipq.

Characterisation of Markov property on planar maps Self-avoiding walks on the uipq

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.363619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4a3b698f-1879-4509-8793-be99c4713e1c · outbound

This paper cites The Brownian plane.

Characterisation of Markov property on planar maps The Brownian plane

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.316982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 17d7024d-0fb7-4072-b3ee-bb17fcb094d5 · outbound

This paper cites First-passage percolation and local modifications of distances in random triangulations.

Characterisation of Markov property on planar maps First-passage percolation and local modifications of distances in random triangulations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.256457Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 602f7008-a7c4-438b-81c0-d46ee701b91f · outbound

This paper cites Uniform infinite planar quadrangulations with a boundary.

Characterisation of Markov property on planar maps Uniform infinite planar quadrangulations with a boundary

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.202751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6d829686-8002-45bf-8149-d835164eae81 · outbound

This paper cites Critical ising model on random triangulations of the disk: enumeration and local limits.

Characterisation of Markov property on planar maps Critical ising model on random triangulations of the disk: enumeration and local limits

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.145193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ab4465be-c985-47eb-8835-fc713b433006 · outbound

This paper cites Peeling random planar maps.

Characterisation of Markov property on planar maps Peeling random planar maps

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.114783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5a414547-74ae-4036-b477-49656f7b0f0d · outbound

This paper cites Liouville quantum gravity on the riemann sphere.

Characterisation of Markov property on planar maps Liouville quantum gravity on the riemann sphere

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.069900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 819a6aed-6412-48da-8e47-e7bef8d764b3 · outbound

This paper cites Liouville quantum gravity as a mating of trees.

Characterisation of Markov property on planar maps Liouville quantum gravity as a mating of trees

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:38.037818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cb18c9cb-39c9-4dfd-8537-57b455e55e01 · outbound

This paper cites Uniqueness and universality of the Brownian map.

Characterisation of Markov property on planar maps Uniqueness and universality of the Brownian map

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.998714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fc550a2d-ce1d-4e55-813f-cbd9d9bad711 · outbound

This paper cites Recurrence of planar graph limits.

Characterisation of Markov property on planar maps Recurrence of planar graph limits

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.961732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation aa0666c7-9446-4aac-9d6c-dd7eee06a1ce · outbound

This paper cites Conformal bootstrap in Liouville theory.

Characterisation of Markov property on planar maps Conformal bootstrap in Liouville theory

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.913155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9c529281-e42f-428a-b9f8-56a9c785c50f · outbound

This paper cites Spatial Markov property in Brownian disks.

Characterisation of Markov property on planar maps Spatial Markov property in Brownian disks

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:11:36.897081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8675efc7-08dc-472a-95aa-f4f145980ac7 · outbound

This paper cites Foundations of modern probability, springer.

Characterisation of Markov property on planar maps Foundations of modern probability, springer

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.855331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bae00030-643c-405b-826e-217c9bbd968f · outbound

This paper cites Distances on the CLE _4 , critical Liouville quantum gravity and 3/2 -stable maps.

Characterisation of Markov property on planar maps Distances on the CLE _4 , critical Liouville quantum gravity and 3/2 -stable maps

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:36.351647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30b3b59b-9a66-4bd0-bd4b-ce9db6a240a3 · outbound

This paper cites Local structure of random quadrangulations.

Characterisation of Markov property on planar maps Local structure of random quadrangulations

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:36.359192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 554d9b5a-54a9-4b91-8755-2f65e3ac56dc · outbound

This paper cites Integrability of Liouville theory: proof of the DOZZ formula.

Characterisation of Markov property on planar maps Integrability of Liouville theory: proof of the DOZZ formula

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.809159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 635bc49e-fe5b-456e-b56a-0efecb7bf597 · outbound

This paper cites The topological structure of scaling limits of large planar maps.

Characterisation of Markov property on planar maps The topological structure of scaling limits of large planar maps

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.776245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 08207cea-b9c6-4453-9658-0144ec5436f8 · outbound

This paper cites Geodesics in large planar maps and in the B rownian map.

Characterisation of Markov property on planar maps Geodesics in large planar maps and in the B rownian map

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.745497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9608f1f1-a233-4fcd-b604-6d8c6c42ee60 · outbound

This paper cites Peeling the Brownian half-plane.

Characterisation of Markov property on planar maps Peeling the Brownian half-plane

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:36.394574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbd68824-39d6-4d02-8c31-0f3ed144f8c6 · outbound

This paper cites From loop clusters and random interlacements to the free field.

Characterisation of Markov property on planar maps From loop clusters and random interlacements to the free field

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.700435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 275e1518-0415-4568-a7ee-e5aa5ebfbe37 · outbound

This paper cites A note on I sing random currents, I sing- FK , loop-soups and the G aussian free field.

Characterisation of Markov property on planar maps A note on I sing random currents, I sing- FK , loop-soups and the G aussian free field

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.660804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 14a1183b-0328-41ae-bfc5-b1acb2e17733 · outbound

This paper cites The random pseudo-metric on a graph defined via the zero-set of the Gaussian free field on its metric graph.

Characterisation of Markov property on planar maps The random pseudo-metric on a graph defined via the zero-set of the Gaussian free field on its metric graph

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.616999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cb87ece4-9f2e-48ec-b532-c98a737fa426 · outbound

This paper cites The B rownian map is the scaling limit of uniform random plane quadrangulations.

Characterisation of Markov property on planar maps The B rownian map is the scaling limit of uniform random plane quadrangulations

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:36.430555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation def5e6bc-f8aa-40cb-8485-373cf260ba2c · outbound

This paper cites Imaginary geometry I: interacting SLEs.

Characterisation of Markov property on planar maps Imaginary geometry I: interacting SLEs

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.533818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c004460a-7b18-40c8-bb73-e25a87570a8f · outbound

This paper cites Zeros of the partition function for generalized ising systems.

Characterisation of Markov property on planar maps Zeros of the partition function for generalized ising systems

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.489610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3327935c-ea5c-4993-a5f9-87685fd5f163 · outbound

This paper cites Backbone exponent for two-dimensional percolation.

Characterisation of Markov property on planar maps Backbone exponent for two-dimensional percolation

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:36.456169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1ca5ca9-76e2-4d5e-88c5-ae81233608f0 · outbound

This paper cites Conjugaison d'arbres et cartes combinatoires al \'e atoires.

Characterisation of Markov property on planar maps Conjugaison d'arbres et cartes combinatoires al \'e atoires

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.178377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2e270374-457d-495f-827d-6e2eef0446a1 · outbound

This paper cites Contour lines of the two-dimensional discrete G aussian free field.

Characterisation of Markov property on planar maps Contour lines of the two-dimensional discrete G aussian free field

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:36.473489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09ac650d-c7be-4b5d-bbb8-1844520ea535 · outbound

This paper cites A contour line of the continuum Gaussian free field.

Characterisation of Markov property on planar maps A contour line of the continuum Gaussian free field

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.070683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0fe72461-0a38-4024-a37a-e2d76af13808 · outbound

This paper cites A census of planar maps.

Characterisation of Markov property on planar maps A census of planar maps

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:37.011971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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