Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T16:17:26.634055Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 6 inbound Pith citation observations for arXiv:2508.18809.
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 2026-08-05T16:17:26.634055Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T05:00:22.741924Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
73 of 73 outbound references displayed
External citation measurements
0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Observation d05158f6-217b-44c8-a133-7b425f603aa2 · outbound
Critical long-range percolation III: The upper critical dimension Aizenman
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9d4a2048-b95a-4ad7-a562-6e9dc3d7656d · outbound
Critical long-range percolation III: The upper critical dimension Aizenman and D
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 38f91795-48cd-48c4-969c-8af1eff3bec4 · outbound
Critical long-range percolation III: The upper critical dimension Aizenman and H
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3d5fb87f-9b63-4606-9fdd-daaf7f438ac5 · outbound
Critical long-range percolation III: The upper critical dimension Aizenman and C
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f60d87b2-4d77-4929-9da3-94656daaf90c · outbound
Critical long-range percolation III: The upper critical dimension Aizenman and C
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1e28408d-b2f0-4a02-a04b-b57a749a1818 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 17fcf3ec-6013-4f5a-a705-48ad42bb1e7e · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 13d0e501-6658-48fa-b0dc-ef68824409a1 · outbound
Critical long-range percolation III: The upper critical dimension Bauerschmidt, D
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fd4ea56e-1660-455c-9591-4e88357cdfc7 · outbound
Critical long-range percolation III: The upper critical dimension Bauerschmidt, D
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a93e0a7e-3adf-4513-903d-9a7cb8b89ce4 · outbound
Critical long-range percolation III: The upper critical dimension Bauerschmidt, D
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9212e7ca-4686-4a14-8de4-5f0e3e35d469 · outbound
Critical long-range percolation III: The upper critical dimension Bauerschmidt, T
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ddcf09f3-43a4-4be9-ba77-52114292986e · outbound
Critical long-range percolation III: The upper critical dimension Bauerschmidt, G
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation da40f914-6a63-402c-9e8e-1be6a6091778 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0214df74-0f6e-4469-a9e6-9844fa93c711 · outbound
Critical long-range percolation III: The upper critical dimension Bäumler and N
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b6e98884-7c1e-4979-a6f1-4d43133d2bc0 · outbound
Critical long-range percolation III: The upper critical dimension Benjamini, N
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 56433814-0ed0-4f6a-9b05-5e82267f57cb · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3b51f465-1fde-4dd4-af5c-983b5ac0147c · outbound
Critical long-range percolation III: The upper critical dimension Biskup and A
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d69ef964-65cd-4d96-b74c-4806bcfa6d7d · outbound
Critical long-range percolation III: The upper critical dimension Blanc-Renaudie and T
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fe0d14ff-d162-43f4-b7eb-813c6d750a00 · outbound
Critical long-range percolation III: The upper critical dimension Borgs, J
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 94203b46-8914-4dc7-8e36-51021bf49987 · outbound
Critical long-range percolation III: The upper critical dimension Borgs, J
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4ee6d939-dbb2-464d-bec0-5db9d405b6c8 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d4710a9c-81e5-428d-9b78-324df7ee8e15 · outbound
Critical long-range percolation III: The upper critical dimension Chen and A
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation be0380ae-cb8b-479b-9534-03f394e3cb12 · outbound
Critical long-range percolation III: The upper critical dimension Chen and A
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5ee11f3f-b806-4854-99d7-a462979f9328 · outbound
Critical long-range percolation III: The upper critical dimension de Alcantara Bonfirm, J
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 45c8b375-5eb3-46f5-8321-8fbcf998c9d0 · outbound
Critical long-range percolation III: The upper critical dimension DeMasi and E
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d94e1400-cb81-4ea2-bfca-368b6bff8a80 · outbound
Critical long-range percolation III: The upper critical dimension Uniqueness of the critical long-range percolation metrics
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e9afc941-45c7-4586-8352-352599efe96d · outbound
Critical long-range percolation III: The upper critical dimension Duminil-Copin, C
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7c90ec68-434b-496e-8301-3b85598c5153 · outbound
Critical long-range percolation III: The upper critical dimension An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions $d>6$
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1f09ea9b-a38c-43ed-a0a6-a3beffc1ed47 · outbound
Critical long-range percolation III: The upper critical dimension An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $d>4$
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0e6c096c-7481-4061-b438-0cd8a2283458 · outbound
Critical long-range percolation III: The upper critical dimension Duminil-Copin, A
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 08e9eaac-f496-41d4-8d01-47a10ef49a3b · outbound
Critical long-range percolation III: The upper critical dimension Durrett and B
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 393860b6-fa0d-4e61-ad92-8c8ed08d5642 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2efcc42e-bdde-4b1d-a893-68fdc81b843a · outbound
Critical long-range percolation III: The upper critical dimension Essam, D
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9f8c86e5-0abb-47ba-b6b3-ac2f25d75b71 · outbound
Critical long-range percolation III: The upper critical dimension Percolation Inequalities and Decision Trees
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8469dc15-d439-43e8-95b8-2628bfb050d1 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 04d63ab2-ee19-4c00-be98-2c1319658698 · outbound
Critical long-range percolation III: The upper critical dimension Halberstam and T
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 490f3b39-e06c-4504-a3e1-97b44a20f765 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bcbd24d9-7e8b-4cee-b81a-696f239ccdf3 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 01062247-7291-49e7-aa01-eddf59ef222f · outbound
Critical long-range percolation III: The upper critical dimension Hara and G
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8499f414-e4cb-4f28-a94c-3ce02fca445d · outbound
Critical long-range percolation III: The upper critical dimension Hara and G
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f855070b-3852-4e6b-9718-baeb3ccd1bf4 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6bbd34b9-3c50-46c4-98f9-722996562ba5 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c5be3e07-2119-479f-aa66-6d8b76cabe5a · outbound
Critical long-range percolation III: The upper critical dimension Heydenreich and R
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d1e329d1-1763-45aa-bd89-67b8cbe78978 · outbound
Critical long-range percolation III: The upper critical dimension Heydenreich, R
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 12aacd98-c70f-4806-9aed-0de57570db81 · outbound
Critical long-range percolation III: The upper critical dimension Hutchcroft
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5ab69d73-ab1d-4934-af9d-9a2fc3cf601b · outbound
Critical long-range percolation III: The upper critical dimension Hutchcroft
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5532bd72-ba8f-4a5a-902b-58f63c3f53b0 · outbound
Critical long-range percolation III: The upper critical dimension Hutchcroft
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f79fc506-a4b8-47ce-b53b-3f7d41a14d54 · outbound
Critical long-range percolation III: The upper critical dimension Hutchcroft
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a7fff0a6-4dc7-4b25-a2f0-ca88c38005aa · outbound
Critical long-range percolation III: The upper critical dimension Hutchcroft
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f876de11-5c4c-41a8-b69e-47535f9c6611 · outbound
Critical long-range percolation III: The upper critical dimension Hutchcroft
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b799e6ea-8967-4a60-9147-b23f82debcea · outbound
Critical long-range percolation III: The upper critical dimension Hutchcroft
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c61d5570-b8c6-437e-a77a-47dede5d0770 · outbound
Critical long-range percolation III: The upper critical dimension Hutchcroft
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ad8f3a6f-e46b-4987-8ad0-0f99da11e677 · outbound
Critical long-range percolation III: The upper critical dimension Hutchcroft and P
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b44ae311-0e4f-4eea-91c3-802ad5c2fb61 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 21a6572f-fe97-4fec-a50c-a225d9b0e7e3 · outbound
Critical long-range percolation III: The upper critical dimension Kozma and A
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 67482b10-881e-4f0d-89f7-df800544ac99 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e318e1dd-bddd-4ce2-82b6-3daa60ec81ce · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 78310c5f-2754-4126-91e8-a5be9139c7f1 · outbound
Critical long-range percolation III: The upper critical dimension Le Gall.Spatial branching processes, random snakes and partial differential equations
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c0c2eeb6-2b68-4149-a583-d10539a2f562 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4d4b19ab-9755-44a4-9f32-4136850a541a · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0aecb7fb-08bc-428c-b9f7-e3d4bddb572d · outbound
Critical long-range percolation III: The upper critical dimension O’Donnell, M
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0109ae76-faa0-4207-934c-e60879456837 · outbound
Critical long-range percolation III: The upper critical dimension Triviality of the scaling limits of critical Ising and $\varphi^4$ models with effective dimension at least four
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c7612a78-650f-401b-9b1a-3a889bb0ddc7 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0e512548-2241-4ce3-bef6-0a86ea7f3b19 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e3c9ea88-350a-499b-9eb3-b00e099ec6e1 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2e70c45a-7b68-4241-b167-8b93637b843f · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 374eec77-9d35-4efe-a0be-597f834371f5 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ce8b568a-2e94-4654-951a-99c02ced5105 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6e8b2030-bb56-4048-b13f-a9b433906947 · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation af129c51-4747-4c51-8f56-195a9e77a909 · outbound
Critical long-range percolation III: The upper critical dimension Smirnov and W
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 33df6d16-39ee-4057-8cdb-3c97475155eb · outbound
Critical long-range percolation III: The upper critical dimension Unresolved cited work
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a89be3bb-6104-4b03-86c0-266d4fdd63f6 · outbound
Critical long-range percolation III: The upper critical dimension van der Hofstad and M
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2cd00909-0a50-417d-bc12-228384d17352 · outbound
Critical long-range percolation III: The upper critical dimension Van der Hofstad and G
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ee47004e-4cfd-4282-a8e5-2192790c392d · inbound
A Scaling Limit of Random Walks in the Rational Adeles Critical long-range percolation III: The upper critical dimension
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ca4621f9-cc2d-482f-8ada-cd2c82e3ba59 · inbound
A random walk approach to high-dimensional critical phenomena Critical long-range percolation III: The upper critical dimension
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 742ed544-03a1-4475-ab15-9124e514080a · inbound
A random walk approach to high-dimensional critical phenomena Critical long-range percolation III: The upper critical dimension
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation aa6a884f-bd1d-416c-b10d-c65cc274c099 · inbound
Percolation on hierarchical lattices Critical long-range percolation III: The upper critical dimension
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3384e374-25f1-4003-b0b7-5464331d416d · inbound
Perturbative Renormalization and Universality Diagram for Long-Range Quantum Criticality Critical long-range percolation III: The upper critical dimension
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c8010b77-402e-44b9-a61f-9f293994462c · inbound
Super-Brownian limits and the $k$-point function for high-dimensional percolation Critical long-range percolation III: The upper critical dimension
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.