Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:31:00.750117Z
Paper Citation Record · LEDGER
As of 15 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:1908.09056.
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 2026-08-14T11:31:00.750117Z
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
A source-named dated measurement, never combined with another source.
Source: cited_works
41 of 41 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f7e26dee-84dc-4331-a39f-9323e855d2fc · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model 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 62a0cacd-a822-4591-9c64-33e441d3e231 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Aizenman, H
Reference 2
Source-reported events for the cited work
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Observation 73d9ed12-2ed5-4ce8-8829-da5ab52d5825 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Emergent Planarity in two-dimensional Ising Models with finite-range Interactions
Reference 3
Source-reported events for the cited work
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Observation ef6e1fcc-1969-47ee-ae15-1777105d81f9 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Unresolved cited work
Reference 4
Source-reported events for the cited work
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Observation a032cac8-a54a-4a38-8ad3-e01ce6c6231c · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Unresolved cited work
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 4caee7ed-87a6-40b1-98d5-5aca4d39faac · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Unresolved cited work
Reference 6
Source-reported events for the cited work
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Observation 6d0c0e96-8eb5-4065-8b47-3a2a8c7e6ad5 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Bodineau
Reference 7
Source-reported events for the cited work
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Observation 1b613552-61fb-4395-a726-84ecc4414427 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Bodineau
Reference 8
Source-reported events for the cited work
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Observation 95a4d681-f0a0-4711-a234-940da897629b · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Bosco, F
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 1b18cecc-b9f4-4589-93fd-7a97fca151b1 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Burton and J
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 80d92164-c089-443c-98d8-77795d0ad2cf · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Burton and J
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 db51d4ad-f4fa-4ed7-8b15-0008905bad3f · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Chayes and K
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 48645112-cdfa-4962-beec-becb0e939d5d · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Duminil-Copin
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 75bcfb62-ec95-4247-acf1-b9e98ee8e2c0 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Lectures on the Ising and Potts models on the hypercubic lattice
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c42c6a13-0a3a-4bf5-a005-baa9b86e964b · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Discontinuity of the phase transition for the planar random-cluster and Potts models with $q>4$
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4b131a6-29f5-4f72-bda7-076e1e645cec · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature
Reference 16
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 d34a974a-0921-43c7-b9fa-3b43e3210fce · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Duminil-Copin, V
Reference 17
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 dca72733-a66f-4166-bf9c-0428744de0aa · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Follmer and S
Reference 18
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 a4a40d05-681e-4fb9-90bb-a25c47d6ccf7 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Unresolved cited work
Reference 19
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 9d1e1748-4af6-435f-ba6c-2b24004e1e10 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Georgii, O
Reference 20
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 bf38abe8-7521-4a4c-892d-064f3144ea51 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Glazman and R
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 09a2bd4e-e2d8-4a94-aac3-fcda2a719fc1 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Grimmett
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 d584db99-fab3-417e-bcef-27ccb451c1e8 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Unresolved cited work
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 dc27506c-889a-4fd9-91e4-b010bf644be5 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model H¨ aggstr¨ om
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 f581455c-c809-4272-93f5-b2c98afefb1d · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model H¨ aggstr¨ om
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 bebb7067-a432-4a56-b075-119dad8d9b60 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model H¨ aggstr¨ om
Reference 26
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 76659e56-77aa-4c36-8d11-8d8eb3358b14 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model H¨ aggstr¨ om
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 369e18c2-2b23-4432-94cd-e3647b95ba3f · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Hallberg
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 de46d8ac-51f3-4297-901e-509f243b8970 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Finitary codings for the random-cluster model and other infinite-range monotone models
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 7ed01f62-e788-4d48-ba1a-81c0c421f61b · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Huang, Y
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 1d20c455-28fd-43d5-86ec-65b150a44a89 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Lebowitz and G
Reference 31
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 d02ef71b-ee32-414b-b05d-5fefa58bf8ed · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Unresolved cited work
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 a31e2eb2-d217-42ba-94fe-d0c1acab4610 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Ornstein and B
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 1bd91182-8fae-4f8f-be59-a1f2606afe0c · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model A condition for long-range order in discrete spin systems with application to the antiferromagnetic Potts model
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0f3c7f21-3e25-45e5-8a47-d9c13cb8ca17 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Lectures on the Spin and Loop $O(n)$ Models
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ec9fb74e-e8db-45f1-a559-9afd825ac428 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Rigidity of proper colorings of $\mathbb{Z}^d$
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56c953b3-de41-4262-ac8e-cb6faeeb0ff9 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Pfister and Y
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 816c78db-3853-4c37-b8fe-14dd8d74fd35 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Pisztora
Reference 38
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 f0faca03-ccf7-48f3-9fc4-927d096def07 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Translation-Invariant Gibbs States of Ising model: General Setting
Reference 39
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 4720275e-d981-42db-86fc-7c1c3ffed63f · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model A short proof of the discontinuity of phase transition in the planar random-cluster model with $q>4$
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 6e42fead-c19b-451d-90db-ffc9ebe22c95 · outbound
Finitary codings for gradient models and a new graphical representation for the six-vertex model Finitary codings for spatial mixing Markov random fields
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.
No inbound Pith citation observations are available.