Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:07:55.623790Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 3 inbound Pith citation observations for arXiv:2501.03379.
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 2026-08-10T22:07:55.623790Z
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, observed 2026-08-10T00:24:26.395251Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
79 of 79 outbound references displayed
External citation measurements
0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Observation c8155bf7-3a17-4ebc-b3c4-21936cc4d012 · outbound
The hard-core model in graph theory Ajtai, P
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 856f3186-1c54-4415-8aca-e99298b172a6 · outbound
The hard-core model in graph theory Ajtai, J
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 019a65ae-dfbf-4035-a83d-890c0b50ec51 · outbound
The hard-core model in graph theory Ajtai, J
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 78951eba-28a9-4e8f-8400-52d7f1d4e197 · outbound
The hard-core model in graph theory Alon, The linear arboricity of graphs, Israel J
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 e54ba687-dd37-48c8-a281-a59baf497cad · outbound
The hard-core model in graph theory Alon, Independent sets in regular graphs and sum-free subsets of finite groups, Israel J
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 ac284a32-2dc1-473f-a0cc-26fac91f0e91 · outbound
The hard-core model in graph theory Alon, Independence numbers of locally sparse graphs and a Ramsey type problem, Random Structures Algorithms 9 (1996), 271–278
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 b08af4b5-6716-4542-9e4d-b69a58dbc637 · outbound
The hard-core model in graph theory Unresolved cited work
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 92e6fa8b-2f4a-4236-acd7-43dbef5d6ead · outbound
The hard-core model in graph theory Alon and M
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 8cdbad46-fcd9-4872-8572-3287cb5552b3 · outbound
The hard-core model in graph theory Alon and J
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 a04b12ec-3d82-473d-9f4a-b7f74c642570 · outbound
The hard-core model in graph theory van den Berg and J
Reference 10
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 00d90ba5-ea44-4ced-a1c2-b91bbd81999c · outbound
The hard-core model in graph theory Bernshteyn, The Johansson-Molloy theorem for DP-coloring, Random Structures Algorithms 54 (2019), 653–664
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 8f23ca79-cf2c-4676-b86c-fdbc8a99d18c · outbound
The hard-core model in graph theory Bhatnagar, A
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 ab4ea83b-6fb7-4f9b-824f-b74d42b82176 · outbound
The hard-core model in graph theory Bohman, The triangle-free process, Adv
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 44f15410-c999-427a-8895-95016a18ac69 · outbound
The hard-core model in graph theory Bohman and R
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 9762a261-5608-4324-99c1-ee798212278f · outbound
The hard-core model in graph theory Bohman and P
Reference 15
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 e7d549f2-5dcd-4768-a3d4-084527f2b5ae · outbound
The hard-core model in graph theory Bonamy, T
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 fddb556c-43b2-4295-b7f0-2d19daed6030 · outbound
The hard-core model in graph theory Bradshaw, Graph Colorings with Local Restrictions , Ph.D
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 409a208f-72d5-4258-bdf4-bd26d357173e · outbound
The hard-core model in graph theory 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 b6ae698c-fba9-4108-ac2d-c8f920f14d96 · outbound
The hard-core model in graph theory Unresolved cited work
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 5aba64de-6dad-4ec8-9541-4d972d76e430 · outbound
The hard-core model in graph theory Unresolved cited work
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 7fb35d69-0731-4412-bd62-263d911b6819 · outbound
The hard-core model in graph theory Unresolved cited work
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 506640b8-6f1d-4fe9-a8d5-f095079ca301 · outbound
The hard-core model in graph theory Unresolved cited work
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 bccb9f85-494b-496a-b843-468703b9a2ee · outbound
The hard-core model in graph theory A new lower bound for sphere packing
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b95a3102-b453-4f09-84c2-2bcd359f059d · outbound
The hard-core model in graph theory Campos, M
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 b374aeca-8ac9-412b-934a-9725aa29ee2b · outbound
The hard-core model in graph theory Caro, New Results on the Independence Number, Technical report, Tel-Aviv University, 1979
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 1ec0887a-d603-4bc4-bb78-df07e7614c80 · outbound
The hard-core model in graph theory 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 2d3203d0-b6a9-47cf-8bc5-d6dbb0d815ce · outbound
The hard-core model in graph theory Coja-Oghlan and C
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 86584bbe-04c5-481a-a853-66bb857e41ec · outbound
The hard-core model in graph theory Unresolved cited work
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 2ecfb505-2cf2-49dd-a9aa-2b48cd62b10e · outbound
The hard-core model in graph theory Davies, M
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 25d5ec3b-e58e-406b-883b-f38811f7ebbf · outbound
The hard-core model in graph theory Davies, M
Reference 30
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 0fd2fd2f-7442-4acb-b947-3dd068d0cfc0 · outbound
The hard-core model in graph theory An algorithmic framework for colouring locally sparse graphs
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1242b1a-a0a4-47ca-8e14-7ae281258d58 · outbound
The hard-core model in graph theory Graph structure via local occupancy
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 323f7e34-4adb-49ef-9ff6-a7b118f99257 · outbound
The hard-core model in graph theory Davies, J
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a135d8e7-6f0c-4fe6-9fc0-aee3aed393b9 · outbound
The hard-core model in graph theory Davies, R
Reference 34
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 96cdf6a9-7767-46c6-b458-7fa6644cc5b5 · outbound
The hard-core model in graph theory Davies, R
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 6a3f47b7-1a19-4458-9f6a-e9134dde3f85 · outbound
The hard-core model in graph theory Erd˝ os, Graph theory and probability II, Can
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 c3cae104-b87f-40f5-943b-fdeb11790b86 · outbound
The hard-core model in graph theory Erd˝ os and L
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 4a44ab7e-81ae-41ff-876b-0625c643e98c · outbound
The hard-core model in graph theory Erd˝ os and T
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 ce35dac2-1a7f-4762-9df3-0cb20ea2ff2f · outbound
The hard-core model in graph theory Fiz Pontiveros, S
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 f978525b-3a57-4219-83cc-6bd9866bf3c7 · outbound
The hard-core model in graph theory Friedli and Y
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 c9aefb30-4e1f-49ac-9ee2-6f78223c2687 · outbound
The hard-core model in graph theory Galvin and P
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 f9e0f1b4-4264-4e61-8b36-c52d22ca95e5 · outbound
The hard-core model in graph theory Georgii, Gibbs Measures and Phase Transitions, 2nd edn., De Gruyter Studies in Mathematics, 2011
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 33a40a4f-dc8b-42e1-8ab4-9f64c3e52de5 · outbound
The hard-core model in graph theory Grunbaum, Research problems: A problem in graph coloring, Amer
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 051c3f02-1f8b-4e8b-9d4d-9d1633bede87 · outbound
The hard-core model in graph theory Hales, A proof of the Kepler conjecture, Ann
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 481d180f-9749-4a3c-b4d7-ccb8c528ebf4 · outbound
The hard-core model in graph theory Hales, M
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 dc3f6634-785d-4aa4-94f2-fbe42d88a201 · outbound
The hard-core model in graph theory Unresolved cited work
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 7ca9f7ac-fd4b-452b-9ba2-8b590511bf63 · outbound
The hard-core model in graph theory Hurley, R
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 c98d452d-c4e8-402a-91a0-c0dbe48f4d25 · outbound
The hard-core model in graph theory 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 56f584f8-5870-47e2-9b78-ff853a3242c1 · outbound
The hard-core model in graph theory Jenssen, F
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 0cc2a27c-7735-4b8a-9a71-57209a4186ca · outbound
The hard-core model in graph theory Johansson, Asymptotic Choice Number for Triangle-Free Graphs, Technical report, DIMACS, 1996
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 c45ce2b2-993c-44eb-bacb-692328ab8375 · outbound
The hard-core model in graph theory Kahn, An entropy approach to the hard-core model on bipartite graphs, Combin
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 cd78aae8-f42e-4f32-968a-fba89dc22ae9 · outbound
The hard-core model in graph theory Kahn, Entropy, independent sets and antichains: A new approach to Dedekind’s problem, Proc
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.
Observation 2f063b42-72a2-4630-8eb6-1d95161934b8 · outbound
The hard-core model in graph theory Unresolved cited work
Reference 53
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 d6977314-0501-487c-b229-fa0c084874b7 · outbound
The hard-core model in graph theory Unresolved cited work
Reference 54
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 1da547d4-7a68-4471-9305-50cfbc2829f4 · outbound
The hard-core model in graph theory Kepler, Strena Seu De Niue Sexangula , Gottfried Tampach, 1611, google-Books-ID: L3H73VJ P1EC
Reference 55
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 8f90da2d-e414-458a-9412-798b370dd0e5 · outbound
The hard-core model in graph theory Unresolved cited work
Reference 56
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 ad340f61-5677-4af0-99e7-e5d690119b75 · outbound
The hard-core model in graph theory Unresolved cited work
Reference 57
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 332c3527-e939-4816-bb12-bf8d4ff52d8f · outbound
The hard-core model in graph theory Klartag, Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid, 2025, arXiv:2504.05042 [math]
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0d78e83-6d85-44a7-b2f2-e7d46b14bb1c · outbound
The hard-core model in graph theory Krivelevich, S
Reference 59
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 6771a785-426f-4394-81a0-a7e458db7eaf · outbound
The hard-core model in graph theory Lubetzky and Y
Reference 60
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 dad23980-d75b-40d4-a77f-71232465dd11 · outbound
The hard-core model in graph theory Molloy, The list chromatic number of graphs with small clique number, J
Reference 61
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 2cb7d698-8f7e-42eb-9513-232c76230887 · outbound
The hard-core model in graph theory Molloy and B
Reference 62
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 6c0c6390-01d4-4e46-a2d7-8c52984a953f · outbound
The hard-core model in graph theory Unresolved cited work
Reference 63
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 0f3f114a-a53a-4d58-90aa-f8cdaf332412 · outbound
The hard-core model in graph theory Unresolved cited work
Reference 64
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 608551dc-00cb-48ac-9c5d-47b425f075de · outbound
The hard-core model in graph theory Reed, ω, ∆, and χ, J
Reference 65
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 6f9f51f1-0cdb-4d01-94fe-607aa4de66df · outbound
The hard-core model in graph theory Reed and B
Reference 66
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 7cdaa53f-483e-4732-80a8-326f0ab5db7b · outbound
The hard-core model in graph theory Unresolved cited work
Reference 67
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 5a201a6b-4aca-4835-ac70-6157bd1d15f0 · outbound
The hard-core model in graph theory Unresolved cited work
Reference 68
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 61d63df1-04bf-4d0b-86a5-b741956815df · outbound
The hard-core model in graph theory Unresolved cited work
Reference 69
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 12075a85-0db6-4260-afa1-3fd06a7a7f11 · outbound
The hard-core model in graph theory Unresolved cited work
Reference 70
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 8ad80e85-5d06-48aa-bc99-457449081378 · outbound
The hard-core model in graph theory Unresolved cited work
Reference 71
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 49b68a43-9af5-4fd3-a277-87ca8046008e · outbound
The hard-core model in graph theory Unresolved cited work
Reference 72
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 68578794-0a8b-4266-91f0-8a5fad048f84 · outbound
The hard-core model in graph theory Unresolved cited work
Reference 73
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 32a64cfa-0d7f-43df-a48b-884306fe7d52 · outbound
The hard-core model in graph theory Spencer, Asymptotic lower bounds for Ramsey functions, Discrete Math
Reference 74
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 48a9d08c-f811-40a2-a608-288418f0ddec · outbound
The hard-core model in graph theory Viazovska, The sphere packing problem in dimension 8, Ann
Reference 75
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 97e9b9b4-4cbb-40f8-8b8e-36db1f5da819 · outbound
The hard-core model in graph theory Unresolved cited work
Reference 76
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 d912f80e-517b-42b3-8a9e-83e14f25a85d · outbound
The hard-core model in graph theory Unresolved cited work
Reference 77
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 3ca03c2d-4c2a-410e-a1a2-5730448cb5e4 · outbound
The hard-core model in graph theory Zhao, The number of independent sets in a regular graph, Combin
Reference 78
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 00b167f4-2784-4e93-92a4-c689fe01f595 · outbound
The hard-core model in graph theory Zhao, Extremal regular graphs: Independent sets and graph homomorphisms, Amer
Reference 79
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 d3d56832-3736-4667-8008-c750859ab9aa · inbound
Triangle-free $d$-degenerate graphs have small fractional chromatic number The hard-core model in graph theory
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae640983-4b6a-4a04-94db-66b2f48995a0 · inbound
Independent Sets and Continued Fractions The hard-core model in graph theory
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 cf2e13de-c994-459a-9e44-66e56dd2f94f · inbound
Degree-sequence bounds for independent sets via multivariate local occupancy The hard-core model in graph theory
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.