Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T09:57:13.949243Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2607.20421.
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 2026-08-01T09:57:13.949243Z
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
A source-named dated measurement, never combined with another source.
Source: cited_works
60 of 60 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation dcf5baf8-93dc-4e35-afd0-43667a5d8dae · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc1827d6-2f64-4abb-9585-3454ce19944f · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b70a70c-ba5d-4d90-ba17-a2fc4f26100f · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code broadcasting
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6878dec-46c1-4b4f-b881-c836a7e3657b · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code , b, independently from the weighted populationQ(r) β,α,γ , with probability proportional to the weightw i
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3bc4e655-1d75-44e2-8ab7-082d7fcdaa9c · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code First, ifγ=α, thenm=µand we only need to store tuples (m, µ)
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c815f6bd-d265-4914-8014-a4c0376f1db2 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code , σb with Boltzmann weighte −γβE v(σ0,σ)
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 59a929ad-9f37-4302-8dc5-e5e01b61ec6d · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code b, independently samplemi from population ˜Q(r) σi,β,1,γ
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 67b7b38b-f4a5-497b-be03-61931cde40c9 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code The process is iterated up to a predeterminedr max, chosen large enough so thatQor ˜Qhas reached an approximate steady state, as indicated by a plateau in⟨|m|⟩
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77100c8c-07ea-42ce-a919-45e01161ab27 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code M´ ezard, G
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d48f540-d946-4cda-bc9b-9784313e6732 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code M´ ezard, G
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation abd3b340-88b4-4f9a-ba91-3902b78258f5 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code M´ ezard and G
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e3caefd-143d-4e2a-bb4a-2096ddb6e88d · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4962634d-69f8-4e66-bdb1-842b4d1847a6 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code M´ ezard and A
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b81cf1c-131b-41d8-84e6-7c65b2c0ea23 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Krzakala, A
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 981964b3-414a-45d6-ba1e-0064cdcff40f · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Krzakala and L
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52e8d35f-b3c6-45b4-ac29-ff8ecdcbe7b2 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Zdeborov´ a and F
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 047abab8-efc5-41df-af08-20090f0881cf · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code [60, 61] as a way to adiabatically evolve within a valley sampled from the global Gibbs measure, where it was applied to dilutedp-spin and antiferromagnetic Potts models
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d69f479-a8d8-4bb6-a900-19cdc533e311 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 81eab100-b657-4117-a28b-48785a20a38b · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code The SM also con- tains additional numerics and a review of prior work
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f79e1ecb-af74-4f8c-89c7-4c3f4d722b5f · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code interval- ley
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b4207dc1-fe43-4592-a433-10c3da91e642 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code [23, 29, 60, 61] for discussions of these two transitions in dilutedp-spin models
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0b83121c-ba37-46a3-ac64-7ee3e56444ca · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87c065bf-b4c6-4b3d-bf52-75a496350097 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de97277a-70b6-45d7-9e48-16ad20bd7d7f · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Janke, Multicanonical Monte Carlo simulations, Physica A: Statistical Mechanics and its Applications 254, 164 (1998)
Reference 69
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f38f27d-44ae-42eb-9a3f-970fa7d1d9b1 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Mau and D
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bb72f7ca-aa9f-4ee3-b37a-f2b2eaf5eacd · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Nishino and K
Reference 71
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c7c2058b-cd14-4244-88f0-da135522c862 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 72
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation adbb6867-931d-41c8-94dd-5e6d15dec934 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Tillich and G
Reference 73
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa31b81d-0ea0-45a4-8331-2dfd2a759ed0 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Leverrier, J.-P
Reference 74
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9990830f-8735-4b6c-9291-f678a227ada0 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 75
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9976db3c-7ff4-4c2a-8923-d90157c1f32c · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code The Physics of (good) LDPC Codes II. Product constructions
Reference 76
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d514db8-557c-4aa1-a343-a09356bfaa3f · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Topological Quantum Spin Glass Order and its realization in qLDPC codes
Reference 77
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 00c91e2e-7ac5-4e7c-b824-b57a73c21d00 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code A randomized construction of high girth regular graphs
Reference 78
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 00972310-1783-4a11-9b98-45345aeef276 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 79
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a73ab755-ad7b-4beb-bf9a-d33f85cb72ee · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code M¨ uller-Hartmann and J
Reference 80
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5cee5e5c-cae1-4095-af39-5d006643cbb2 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Matsuda, Infinite susceptibility without spontaneous magnetization: Exact properties of the ising model on the cayley tree, Progress of Theoretical Physics51, 1053 (1974)
Reference 81
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65d7e1f7-af8e-42f5-ba5a-e29722b68cd2 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 82
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3cdd97b6-c6e3-4a69-a9c3-981835cb4cb9 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 83
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0488163d-1bdd-4684-80a5-95595d2f67ca · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Ioffe, On the extremality of the disordered state for the Ising model on the Bethe lattice, Letters in Mathematical Physics37, 137 (1996)
Reference 84
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3dc15397-f904-4110-9e76-4b8694f2359f · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Using memory to identify phase transitions on a Cayley Tree
Reference 85
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 67c3f91f-5977-4244-bd2b-ec386521fdc6 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Gerschenfeld and A
Reference 86
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c3544fb6-2d39-443a-b4e7-61c5a01171ea · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 87
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bbc16b5a-4c6d-4b88-8a46-fc17e1502bf9 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 88
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 e14bcd12-b85f-403a-8b32-5716159ed406 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Abou-Chacra, D
Reference 89
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae7ef38f-0723-4e9f-8e43-5601828b0b4c · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code M´ ezard and G
Reference 90
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 53d4392a-5ba6-4000-b5f9-f98d27ce1886 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Yedidia, W
Reference 91
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb51cbe6-e88f-4b5b-a68d-0ed979d02d54 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Parisi, Order parameter for spin-glasses, Phys
Reference 92
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15a664aa-6da1-4cb3-87ca-dab46f8e7521 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Barrat and R
Reference 93
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 32e9382d-f48c-4597-82a9-0a5fd7968fbf · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Franz, M
Reference 94
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e8a75c81-6111-4637-88de-61ac556d6f61 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Ricci-Tersenghi, Being glassy without being hard to solve, Science330, 1639 (2010)
Reference 95
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 48853738-6de5-4a20-bce1-09f737d29e1a · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Richardson and R
Reference 96
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 76f74c62-9927-4310-89ee-8e1ccc39b7e9 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Gopalan, C
Reference 97
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 273d75c9-38d2-4dbf-8997-cbaf92118910 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code
Reference 98
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0b4f15db-6797-4f9d-ab32-80a8485dc180 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Pairing trees with magnetizationsm 0, m1 at the roots incurs a shiftY delta(m0, m1) in the quantity of interest (Fig
Reference 99
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6d60498-67ce-41b5-941f-a215b4111021 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code messages
Reference 100
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77a7c35b-3dc6-4a93-a721-3d8836bc9374 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code microcanonical
Reference 101
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbfa02e8-9932-4f69-a9e1-f29415e18c88 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code escape energy
Reference 102
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98e1be3b-f9e9-4882-9bb6-b2fe426f87cb · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code magnetization
Reference 103
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8bb6d944-cb49-4dbe-a9be-6f7811f2ae74 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code [78] (see App
Reference 104
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95d6342c-2eea-4d6a-93ee-775fc4342562 · outbound
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code Unresolved cited work
Reference 105
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.