Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T19:26:56.761493Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 3 inbound Pith citation observations for arXiv:2412.06772.
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 2026-08-11T19:26:56.761493Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T20:37:46.882838Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-08T14:41:54.094295Z
44 of 44 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 2635e056-b5b5-4732-807c-74bff750a5eb · outbound
Cluster volumes for the Gaussian free field on metric graphs Aizenman
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f3bbb505-b0c9-4d04-ab37-38673f69e76e · outbound
Cluster volumes for the Gaussian free field on metric graphs Aizenman, F
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 452c5ae0-9f37-4cdc-980b-0cbaa53c0899 · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4c6ec2b0-b504-471c-bbcb-8d85c37dfaa1 · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ef9055d8-e7f2-4107-8b3a-4f2f4109dfcc · outbound
Cluster volumes for the Gaussian free field on metric graphs Bolthausen, J.-D
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation effa0480-795b-42ed-ad58-7979f295a928 · outbound
Cluster volumes for the Gaussian free field on metric graphs Bricmont, J
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8f646350-d9a4-4db3-b7af-942210b2979a · outbound
Cluster volumes for the Gaussian free field on metric graphs One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b9e01e1-91bd-4c92-a48b-bb1eea7ed5bf · outbound
Cluster volumes for the Gaussian free field on metric graphs One-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6444e940-9471-43ae-8e14-e1df34cd636c · outbound
Cluster volumes for the Gaussian free field on metric graphs Universality classes for percolation models with long-range correlations
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 486b8d95-e364-4db1-8de5-2631a88a4e9e · outbound
Cluster volumes for the Gaussian free field on metric graphs Contreras, S
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 646621ed-9c08-43d3-a360-32cf9075897d · outbound
Cluster volumes for the Gaussian free field on metric graphs Ding and M
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 37c6d88d-2db1-4f97-88ed-4cdf3c6b6bbe · outbound
Cluster volumes for the Gaussian free field on metric graphs Drewitz, A
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2443b607-d9ec-4dab-9a27-5eaeb975cd45 · outbound
Cluster volumes for the Gaussian free field on metric graphs Drewitz, A
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation abdba362-4b60-48c7-ace8-9595b452c776 · outbound
Cluster volumes for the Gaussian free field on metric graphs Drewitz, A
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2a92dd19-1d24-4c8c-9e20-42388d9c208e · outbound
Cluster volumes for the Gaussian free field on metric graphs Drewitz, A
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d03cc08f-cbaa-43ec-a98b-7ac56b7a4d0d · outbound
Cluster volumes for the Gaussian free field on metric graphs Drewitz, A
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b4795765-9dba-4d86-81c8-b0aba512308f · outbound
Cluster volumes for the Gaussian free field on metric graphs Critical one-arm probability for the metric Gaussian free field in low dimensions
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9499d20-990f-4b6d-9eac-7b1a2002c494 · outbound
Cluster volumes for the Gaussian free field on metric graphs Drewitz and P.-F
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bdcf8eea-0b72-45d4-a45b-0f4e45a77995 · outbound
Cluster volumes for the Gaussian free field on metric graphs An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions $d>6$
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation efcac83f-1ae8-4fde-afbf-755d7d08a4dd · outbound
Cluster volumes for the Gaussian free field on metric graphs Fitzner and R
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8e4dbef6-ade1-4d1a-98c5-e7ec151bc3d6 · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 55cfb111-b753-418f-a479-8772a9960918 · outbound
Cluster volumes for the Gaussian free field on metric graphs The ant on loops: Alexander-Orbach conjecture for the critical level set of the Gaussian free field
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da1a1095-e198-47d0-8777-faad5dfe7785 · outbound
Cluster volumes for the Gaussian free field on metric graphs Goswami, P.-F
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cee32ab2-2124-41e6-8844-efde906fa11e · outbound
Cluster volumes for the Gaussian free field on metric graphs Hara and G
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 46cb10fc-a056-4c1e-a72f-63ff9583fbd4 · outbound
Cluster volumes for the Gaussian free field on metric graphs Heydenreich and R
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f44f962e-3a2a-45f7-9f21-f5ad403ea676 · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 95b33fad-0ec9-4a67-9c6c-f10aa60d6d9f · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b1b97613-977b-43e3-8f3c-8855f780b461 · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7d17a4d4-2758-484f-b9e4-e8ce1bf40b6d · outbound
Cluster volumes for the Gaussian free field on metric graphs Kesten and Y
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8d3f5afb-f79c-4508-8712-0451cf629725 · outbound
Cluster volumes for the Gaussian free field on metric graphs Kozma and A
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 31c4436f-9e89-4c43-bafb-888a7775162b · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7e5b9715-7adc-4650-8c79-50c8111c69f6 · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 79476409-4c6a-406b-9603-8553f7e67dfe · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a86c6c4a-a1fd-42d5-83b4-126d578fd756 · outbound
Cluster volumes for the Gaussian free field on metric graphs Panagiotis and F
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 72266b08-a2cf-45d4-89ed-eea230c843c5 · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 444cb01b-65a1-4f50-b01f-48e77e7bdaad · outbound
Cluster volumes for the Gaussian free field on metric graphs Ráth and A
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0166b0d9-4317-416a-8e99-f60a450ecee5 · outbound
Cluster volumes for the Gaussian free field on metric graphs Rodriguez and A.-S
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a248ec8d-a11a-4e09-acb3-b235cb25d6cb · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d48ba261-741c-4f60-8799-8a08815e4792 · outbound
Cluster volumes for the Gaussian free field on metric graphs Smirnov and W
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c483ea82-4f49-4504-9536-0c7db70854c4 · outbound
Cluster volumes for the Gaussian free field on metric graphs Stauffer and A
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fdb27e3f-7b7a-4d84-bdad-d54e901c86a4 · outbound
Cluster volumes for the Gaussian free field on metric graphs Sznitman
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 57307e1a-8ce6-499e-860d-60c0536e1b6b · outbound
Cluster volumes for the Gaussian free field on metric graphs Sznitman
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a61fbce3-0139-4625-b9e9-8c2304bdec09 · outbound
Cluster volumes for the Gaussian free field on metric graphs Sznitman
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7f4eb54f-5b96-4158-b8b5-8e65fb9b6eb3 · outbound
Cluster volumes for the Gaussian free field on metric graphs Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b2f93fc4-0e50-47c2-ba15-4a02961df530 · inbound
Quasi-multiplicativity and regularity for metric graph Gaussian free fields Cluster volumes for the Gaussian free field on metric graphs
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80e5a270-1ca0-4f9a-a92c-a2981fa17458 · inbound
Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Cluster volumes for the Gaussian free field on metric graphs
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da9e0a0a-c5e8-4c9b-9a5c-a9efed28ae00 · inbound
A switching identity for cable-graph loop soups and Gaussian free fields Cluster volumes for the Gaussian free field on metric graphs
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.