Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T18:07:57.255688Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2608.09397.
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 2026-08-11T18:07:57.255688Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 81ad272f-d8dd-4fc8-864e-e748376571e8 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation For subgraphs ofnth-order, consider two sub- graphs Γ (n) k and Γ (n) d associated with two nodes of de- greeskandd, respectively
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4e9e2e08-7b44-4267-ba7e-fd00d5dbd615 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation (4), that holds for arbitrary random networks at arbitrary approximation ordern
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 22920197-0b8b-458d-b5a6-2d1ab2f79011 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation abbfde8e-85ce-4437-b189-3c2f3e15ede4 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation , sm Γ(n) d ,Γ (n) l1 ,
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 92dee353-fe97-4ce6-8093-7bfd2abecddc · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation At both first and zeroth orders, only shell-1 neighbors are retained, and hence the second-order connectivity variablesyandw do not enter the reduced description
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5cebdba5-4547-4e06-bd63-92e40af5f5e6 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation LetGdenote the whole graph
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 74121b15-f318-4a78-a424-91b609e5357a · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation (9) is accurate only when a generalized edge behaves as a single effective structure
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9bb7e843-a7d1-4ac3-a56c-322a8c0f4c37 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e23ba74c-12e3-48e1-88b7-96a7d37bc1cd · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation The networks are gen- erated by a two-step unit replacement procedure on a random backbone
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 92fedd56-06bd-4d94-9781-3e9b40bbc513 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation For visual clarity, Fig
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 652ae755-6fc7-44c5-9d81-6712cd0b9cb9 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 21096f28-4f8b-410c-863a-9c9b6b57a898 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation de91a304-f1e5-4d0a-b7b3-804426283b5e · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Cohen, K
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e8484cac-2951-4c21-9bed-8126e950562c · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Cohen, K
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c161200a-71b6-4c67-9219-915b795dbd92 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Albert, H
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f99d271b-d080-4a94-8b7a-352a7638612a · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Moore and M
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4c70d9df-0f61-499f-ac3b-96f8854eaf03 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Artime and M
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8c89e67d-b0f5-4ebb-9405-db9d0b1ccb63 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d7ca1f6b-dbe0-49d4-8920-238285ba8011 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Karrer and M
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 63081e9c-7c52-42e9-aee3-7301df9b6a32 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Karrer, M
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 59f26ad0-86cc-43a3-a1a0-37fc1f50be40 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Morone and H
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 946ce4ba-31f9-4159-9767-dbeab51b43e3 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Qian, D.-D
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 38428532-cec0-4a73-bdc2-28f07cc807ee · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Pearl,Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference(Morgan Kaufmann, San Francisco, CA, 1988)
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7de1b8d6-db00-49aa-a227-681f9c48a9d6 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9979a948-de8c-4589-a509-394d9591a6c8 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation M´ ezard and A
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 614c4b3d-c90d-48c8-89c2-36fbde36abe7 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 15302df2-f8bf-4339-ba15-d1180fa1b0ee · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c59d9bd4-9ae8-4be3-a0bf-1a2ab160aa85 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Pastor-Satorras and A
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f0b33b5a-ee58-4d6f-b105-8a39e5754d3e · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Kenah and J
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 206e06f9-08d7-4916-ab14-921425449c5c · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b40ace28-a584-48f6-afc8-97877f794c2f · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eb9bf4f4-7099-4c17-82ae-091fc1e3bd4c · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a7805494-ed9b-47d7-97b1-551366378a9a · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Barrat, M
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation beb81f34-1fda-4ab3-ac9f-ac0a86fa4e66 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ea1c1bd0-0d27-42f1-aab4-22592dd5d20f · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Cohen and S
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 637df4e8-35a6-4378-b8db-a703e829b51d · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Radicchi and C
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fe3581e1-9004-48e3-94e5-9769374a8419 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Radicchi and G
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dfb70d97-74ea-490f-a397-e58f470c37bd · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e5284b69-ba90-4f57-bdbe-3a1e81573761 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2b76529f-3050-449f-b182-bbe0b2354a5c · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0c014ea2-074f-4538-8e8e-d94237016e24 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a2f20dec-07c8-4132-8fdc-bab7bc6d2c21 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bb52f71a-e914-496f-95b7-33a36d84f192 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Britton, M
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a29a8e0b-5837-411d-9cf7-5d12dcbfcaf8 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c278371e-a6c9-4d05-8f43-1fd548dcf72d · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Bollob´ as, S
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 83070f1d-2ecd-4cca-a93e-3da7f38cab77 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Karrer and M
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c9e63c15-0c49-49d2-b7e6-c71fc62af03e · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Allard, L
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7a259222-4272-4259-85ba-ff2af5a53d2b · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1bf07046-32b4-434f-b81c-47f7a4ec79bc · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7c2f885a-4e90-41bb-a1e6-4be5a7380fa2 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Mann and S
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2fa44c55-222c-4c10-af5f-bf1cb1e12372 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d55555e-ea60-4fb8-95c9-4eaf86d8e5d8 · outbound
Ensemble-level loopy message passing with generalized-edge closure for percolation Leskovec and A
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
No inbound Pith citation observations are available.