Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:12:02.715811Z
Paper Citation Record · LEDGER
As of 15 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 1 inbound Pith citation observation for arXiv:1908.05573.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:12:02.715811Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:59:43.800895Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-15T18:59:45.129069Z
65 of 65 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a784d2e6-47fc-4b05-898c-c437bc823c94 · outbound
Random surfaces and Liouville quantum gravity Unresolved cited work
Reference 1
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.
Observation cf77f433-ee3b-4917-b59c-fdd526a85f71 · outbound
Random surfaces and Liouville quantum gravity Comparison of discrete and continuum Liouville first passage percolation
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87478785-cbed-4584-b9bb-3772055870e0 · outbound
Random surfaces and Liouville quantum gravity Gaussian multiplicative chaos through the lens of the 2D Gaussian free field
Reference 3
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.
Observation a67c00df-1787-4d5b-ac2e-d2edcaaace85 · outbound
Random surfaces and Liouville quantum gravity Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity
Reference 4
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.
Observation 7d6c584e-1c19-4f53-9489-8d3483c96469 · outbound
Random surfaces and Liouville quantum gravity Planar maps as labeled mobiles
Reference 5
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.
Observation 754e386f-7be6-4fb0-8560-5c641fbb2790 · outbound
Reference 6
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.
Observation 6da56f9c-6e68-4500-ac57-221ee9575e3d · outbound
Reference 7
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.
Observation ddcdff88-9d09-4bb1-ae21-07a6b70016be · outbound
Random surfaces and Liouville quantum gravity Bijective counting of tree-rooted maps and shuffles of parenthesis systems
Reference 8
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.
Observation 45346790-fba7-4f09-8891-637effc2350a · outbound
Random surfaces and Liouville quantum gravity An elementary approach to Gaussian multiplicative chaos
Reference 9
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.
Observation 86ad136a-50c4-469d-9d40-f848bd39e9db · outbound
Random surfaces and Liouville quantum gravity Percolation on triangulations: a bijective path to Liouville quantum gravity
Reference 10
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.
Observation 7e771e72-8f9d-4ef1-95ba-028d36bba88c · outbound
Random surfaces and Liouville quantum gravity Gaussian multiplicative chaos and KPZ duality
Reference 11
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.
Observation cfd2d1a0-2fcf-4977-a11e-266d98908fcc · outbound
Random surfaces and Liouville quantum gravity B erestycki and J
Reference 12
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.
Observation 402b3e45-33be-4fc3-8e3a-f02900ed9107 · outbound
Random surfaces and Liouville quantum gravity Unresolved cited work
Reference 13
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.
Observation 17de3aa5-1ffa-42df-bce6-1e811a37195c · outbound
Random surfaces and Liouville quantum gravity Unresolved cited work
Reference 14
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.
Observation 4902cdc5-e1d0-4f8b-8409-0f9195c1c88f · outbound
Random surfaces and Liouville quantum gravity Tightness of Liouville first passage percolation for $\gamma \in (0,2)$
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ffc6ae66-3979-4d58-a459-44a05bd82994 · outbound
Random surfaces and Liouville quantum gravity Weak LQG metrics and Liouville first passage percolation
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 534b607c-ebe3-434c-ad5f-5120ae183582 · outbound
Random surfaces and Liouville quantum gravity Upper bounds on Liouville first passage percolation and Watabiki's prediction
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 150ac723-f12c-4ea2-bcf0-944954eca6fb · outbound
Random surfaces and Liouville quantum gravity The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d7290fe-71ff-474c-969a-37c9dcb342fd · outbound
Random surfaces and Liouville quantum gravity Liouville Quantum Gravity on the Riemann sphere
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4d86498-8ff9-4fa6-8221-528b0009d16c · outbound
Random surfaces and Liouville quantum gravity Liouville quantum gravity as a mating of trees
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7722787b-f16d-4b2e-8f5c-c9f8f7cef3a1 · outbound
Random surfaces and Liouville quantum gravity Log-correlated Gaussian fields: an overview
Reference 21
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.
Observation 682857fc-5e1d-47ec-af05-a25d5dfa4d98 · outbound
Random surfaces and Liouville quantum gravity Critical Gaussian multiplicative chaos: Convergence of the derivative martingale
Reference 22
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.
Observation def02f35-06b6-441a-9f2c-2fbea61b96a5 · outbound
Random surfaces and Liouville quantum gravity Renormalization of Critical Gaussian Multiplicative Chaos and KPZ formula
Reference 23
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.
Observation f980e41c-f63d-40ff-bdc9-6c01b869a1c6 · outbound
Random surfaces and Liouville quantum gravity Quantum gravity and the KPZ formula
Reference 24
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.
Observation 80e93030-712f-401f-ac6c-c44a3228fc14 · outbound
Reference 25
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.
Observation 9885ec3c-66f6-42a1-b788-2ca3671ba764 · outbound
Random surfaces and Liouville quantum gravity Heat kernel for Liouville Brownian motion and Liouville graph distance
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1ab3f8c2-5158-422b-9eb9-02fe20e23f58 · outbound
Random surfaces and Liouville quantum gravity Anomalous diffusion of random walk on random planar maps
Reference 27
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.
Observation aa6ab8e0-3c20-4e52-a881-f590e4d2208a · outbound
Random surfaces and Liouville quantum gravity A mating-of-trees approach for graph distances in random planar maps
Reference 28
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.
Observation acb979ae-f133-4a5b-b0ab-16e936c0b09f · outbound
Reference 29
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.
Observation aab14716-a9d6-429e-8d8d-f0ff28189ee4 · outbound
Random surfaces and Liouville quantum gravity Joint scaling limit of site percolation on random triangulations in the metric and peanosphere sense
Reference 30
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.
Observation f603dc5d-cae6-46fc-b210-6c62b6b2c573 · outbound
Random surfaces and Liouville quantum gravity Random walk on random planar maps: spectral dimension, resistance, and displacement
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b5b920c-fc5e-43ec-8811-a46efc9b8cfd · outbound
Random surfaces and Liouville quantum gravity Confluence of geodesics in Liouville quantum gravity for $\gamma \in (0,2)$
Reference 32
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.
Observation b77def12-7689-41a6-a2ee-bded3fa98021 · outbound
Random surfaces and Liouville quantum gravity Conformal covariance of the Liouville quantum gravity metric for $\gamma \in (0,2)$
Reference 33
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.
Observation d6cc3f26-4d34-4b47-8434-c5840e6daac4 · outbound
Random surfaces and Liouville quantum gravity Existence and uniqueness of the Liouville quantum gravity metric for $\gamma \in (0,2)$
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2697bf5c-ee76-45e8-ad7d-2383e1b067a3 · outbound
Random surfaces and Liouville quantum gravity Local metrics of the Gaussian free field
Reference 35
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.
Observation ef955c30-f658-46d9-bca5-29f34687936e · outbound
Random surfaces and Liouville quantum gravity The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 73ae73b1-f06f-4782-bd46-33441e8cb23d · outbound
Random surfaces and Liouville quantum gravity The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to $\sqrt{8/3}$-Liouville quantum gravity
Reference 37
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.
Observation 5233203c-ca58-41bc-81f5-bb0fc0f00b7c · outbound
Random surfaces and Liouville quantum gravity Bounds for distances and geodesic dimension in Liouville first passage percolation
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3eeb4511-99cc-4dbb-aad0-5f596a9d1076 · outbound
Random surfaces and Liouville quantum gravity External diffusion limited aggregation on a spanning-tree-weighted random planar map
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33a38688-b073-42e9-baf8-a2b8a732944d · outbound
Random surfaces and Liouville quantum gravity KPZ formulas for the Liouville quantum gravity metric
Reference 40
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.
Observation 2b6b62ab-6ecb-4867-aae6-6906b205e7af · outbound
Random surfaces and Liouville quantum gravity Thick points of the Gaussian free field
Reference 41
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.
Observation c55f2cf7-09ae-4769-97bd-d291f8a1ecc2 · outbound
Random surfaces and Liouville quantum gravity Convergence of uniform triangulations under the Cardy embedding
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 67ce4118-9de7-499d-aacd-f27a729fcdf7 · outbound
Random surfaces and Liouville quantum gravity Unresolved cited work
Reference 43
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.
Observation a32af9ef-22b0-4005-b42c-111611213e6a · outbound
Random surfaces and Liouville quantum gravity Bipolar orientations on planar maps and SLE$_{12}$
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2922d9a-d91c-4fca-99a8-b94acd2dabbb · outbound
Random surfaces and Liouville quantum gravity Integrability of Liouville theory: proof of the DOZZ Formula
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed904f89-4b32-42e5-8065-d138d08fed55 · outbound
Random surfaces and Liouville quantum gravity Unresolved cited work
Reference 46
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.
Observation d983c25a-0432-45e7-9d19-1ca717103020 · outbound
Random surfaces and Liouville quantum gravity Uniqueness and universality of the Brownian map
Reference 47
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.
Observation 1add0d2c-3e35-4172-86a7-77ebaf65dd4c · outbound
Random surfaces and Liouville quantum gravity Random geometry on the sphere
Reference 48
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.
Observation ada6c697-d1c7-4487-9af2-3cbb59b3f946 · outbound
Random surfaces and Liouville quantum gravity Iterated foldings of discrete spaces and their limits: candidates for the role of Brownian map in higher dimensions
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cbbec4d1-c55b-4665-90df-a52993b7adce · outbound
Random surfaces and Liouville quantum gravity The Brownian map is the scaling limit of uniform random plane quadrangulations
Reference 50
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.
Observation fef6d37c-6298-4043-b313-f4bee0d4bd0f · outbound
Random surfaces and Liouville quantum gravity Liouville quantum gravity and the Brownian map I: The QLE(8/3,0) metric
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9a7b502-b329-46ca-b0fd-42baf7416ec5 · outbound
Random surfaces and Liouville quantum gravity Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 036c66db-2b53-4c01-8591-791cec32d43a · outbound
Random surfaces and Liouville quantum gravity Liouville quantum gravity and the Brownian map III: the conformal structure is determined
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 40394a20-5a53-47a8-a575-90e502c364b9 · outbound
Random surfaces and Liouville quantum gravity Unresolved cited work
Reference 54
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.
Observation 6dd0104e-2375-4e7e-9b47-653c0ab81831 · outbound
Random surfaces and Liouville quantum gravity Unresolved cited work
Reference 55
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.
Observation e2e63927-6627-40ff-99c1-fbc7fa73caaa · outbound
Random surfaces and Liouville quantum gravity Gaussian multiplicative chaos and applications: a review
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9a2f169-8b52-4e85-8b52-2e467158351d · outbound
Reference 57
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.
Observation e0b3a675-6ce3-4197-bbaf-e42ef1cc1d3f · outbound
Random surfaces and Liouville quantum gravity Scaling limits of loop-erased random walks and uniform spanning trees
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4445dea-1fe6-4e9e-9af1-e6c158a29d55 · outbound
Random surfaces and Liouville quantum gravity Gaussian free fields for mathematicians
Reference 59
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.
Observation 224a9293-2d41-4ba9-b0c6-b59bb348a27b · outbound
Random surfaces and Liouville quantum gravity Conformal weldings of random surfaces: SLE and the quantum gravity zipper
Reference 60
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.
Observation 61ab7f82-ea16-43b6-9a03-18c9d3760fd2 · outbound
Random surfaces and Liouville quantum gravity Quantum gravity and inventory accumulation
Reference 61
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.
Observation 3ad3eff2-fa00-4556-a2a7-b177425620b3 · outbound
Random surfaces and Liouville quantum gravity Lecture notes on Liouville theory and the DOZZ formula
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c6bc48f-e255-4737-a8ef-c816795e6158 · outbound
Reference 63
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.
Observation 2ce9be4d-6a9c-444c-953a-925f6aeb29bc · outbound
Random surfaces and Liouville quantum gravity The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos - The $L^2$-phase
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a0a6855-062f-4d69-a802-ce4a33ec4550 · outbound
Random surfaces and Liouville quantum gravity Unresolved cited work
Reference 65
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.
Observation ff5168e3-b26f-4635-bb2f-1a79fec36dac · inbound
Random walk reflected off of infinity, with applications to uniform spanning forests and supercritical Liouville quantum gravity Random surfaces and Liouville quantum gravity
Reference 40
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.