Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:55:13.024278Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 2 inbound Pith citation observations for arXiv:2506.06789.
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 2026-08-07T05:55:13.024278Z
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 2026-08-04T07:44:22.064745Z
A source-named dated measurement, never combined with another source.
Source: cited_works
57 of 57 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 097857fe-50fe-4afe-99a7-c8d15b96be7d · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 7b653dad-dfff-46d9-92aa-dcd4a396c66f · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 48dea6aa-c3a1-466a-8803-6baa2a1c1418 · outbound
Liquid and solid layers in a thermal deep learning machine 5 − 3 − 2
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 9812215b-8b52-4613-89b6-a7213969260d · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 bcd7fe72-119e-4dda-bbc8-ea26108d17cb · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 2ac55283-857e-4a5e-bf16-90b1aa5c927e · outbound
Liquid and solid layers in a thermal deep learning machine 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 17c0ca60-d380-4e61-b060-09014244985c · outbound
Liquid and solid layers in a thermal deep learning machine 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 d2e3d657-2e57-480b-9d04-5fc666e7ba35 · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 0e8f7e7e-2331-4fcb-87e4-30c0574ed686 · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 47dcdf6c-cc22-4f57-b3d1-4ebe621591ac · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 7130b3a0-e08c-4c1f-a234-bcaf8d95456d · outbound
Liquid and solid layers in a thermal deep learning machine We set M = 2000 and ln α = 4
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 02aaa93f-53b2-4b2c-9987-4cb0f173a99c · outbound
Liquid and solid layers in a thermal deep learning machine Monasson and R
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 5469a47c-af6f-4fbe-a089-3f52432af52d · outbound
Liquid and solid layers in a thermal deep learning machine 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 60f083d0-06d9-4e20-94ce-0a7f562a0b79 · outbound
Liquid and solid layers in a thermal deep learning machine Engel and C
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 4787d15d-8fd1-4d48-9509-6473336b5116 · outbound
Liquid and solid layers in a thermal deep learning machine Carleo, I
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9322d61-0191-421f-8871-aaa321a645b1 · outbound
Liquid and solid layers in a thermal deep learning machine Nishimori, Statistical physics of spin glasses and in- formation processing: An introduction (Clarendon press, Oxford, 2001)
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 e423c3c6-939d-4602-aa7a-8736819e64ed · outbound
Liquid and solid layers in a thermal deep learning machine Gardner, Maximum storage capacity in neural net- works, Europhys
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 9ea475f3-c8eb-42e0-9866-4e8d4923a374 · outbound
Liquid and solid layers in a thermal deep learning machine Gardner, The space of interactions in neural network models, J
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 c1d3c050-3692-44f8-be48-46309d984337 · outbound
Liquid and solid layers in a thermal deep learning machine Baldassi, C
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 d5616f7b-2ae1-47bb-a834-c26ee1e2fd18 · outbound
Liquid and solid layers in a thermal deep learning machine Choromanska, M
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 972ccc84-cf0a-4de1-a96e-2bfceb09585d · outbound
Liquid and solid layers in a thermal deep learning machine 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 5c7c1b6f-5bfe-4db9-b0ef-8720c07555b5 · outbound
Liquid and solid layers in a thermal deep learning machine Baity-Jesi, L
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 c4087602-cea7-45e9-8e35-1fcc8d6c4ba2 · outbound
Liquid and solid layers in a thermal deep learning machine Franz, S
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 650e7a31-8d7a-4028-8929-0157341f168b · outbound
Liquid and solid layers in a thermal deep learning machine Geiger, S
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 47ee457c-8b06-475c-9119-62257d35757c · outbound
Liquid and solid layers in a thermal deep learning machine Yoshino, From complex to simple: hierarchical free- energy landscape renormalized in deep neural networks, SciPost Phys
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 725ad304-4bf8-46b6-94a2-cba4ed64862c · outbound
Liquid and solid layers in a thermal deep learning machine Yoshino, Spatially heterogeneous learning by a deep student machine, Physical Review Research 5, 033068 (2023)
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 0f91a7c1-33dc-44d9-a383-bd16b6a29545 · outbound
Liquid and solid layers in a thermal deep learning machine Huang, R
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 3451b5b7-7ab3-4691-8dd2-28b6654de890 · outbound
Liquid and solid layers in a thermal deep learning machine Glassy dynamics in deep neural networks: A structural comparison
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 1f9f0216-51b8-4724-9a8e-63d451526d08 · outbound
Liquid and solid layers in a thermal deep learning machine Nelson, T
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 4237e048-476f-450d-af6d-e3c7592d7d1f · outbound
Liquid and solid layers in a thermal deep learning machine Krzakala and L
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 d71c2411-edeb-40bf-bf9c-507fb3787651 · outbound
Liquid and solid layers in a thermal deep learning machine Krzakala and L
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 f181248e-e39b-42e9-b7a2-738d5df6e539 · outbound
Liquid and solid layers in a thermal deep learning machine Biroli, J.-P
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 abc55b52-d7b9-4a53-811c-2c0fd651084c · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 824644e2-82eb-4fd4-ad5f-c4bd0bed1163 · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
Reference 34
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 6c625250-8625-49a1-94ed-123d93b8cd32 · outbound
Liquid and solid layers in a thermal deep learning machine Ikeda and A
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 3431128f-b76a-4e7e-8599-ac192068c1b7 · outbound
Liquid and solid layers in a thermal deep learning machine Singh, M
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 212264f4-ea6c-452b-afdb-0650a6f68dd0 · outbound
Liquid and solid layers in a thermal deep learning machine Berthier, P
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 826fd9ea-0b35-46d5-a582-67e79c82fcfb · outbound
Liquid and solid layers in a thermal deep learning machine LeCun, C
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 df64d348-26f0-42e3-a20d-8e5b505fe561 · outbound
Liquid and solid layers in a thermal deep learning machine Qiao, The MNIST database of handwritten digits, Re- trieved 18 August 2013 (2007)
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 67911f9a-1bb0-4907-acb8-53c6e3da6d9e · outbound
Liquid and solid layers in a thermal deep learning machine Li and Y
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 4a2485bc-bf91-4a19-8da5-71bee74d270b · outbound
Liquid and solid layers in a thermal deep learning machine Hastie, R
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 c9716d32-e32c-4ad3-a2f6-ac9ecada06d4 · outbound
Liquid and solid layers in a thermal deep learning machine Charbonneau, J
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 c0745e88-94f4-45c9-9d30-99d9ad738f66 · outbound
Liquid and solid layers in a thermal deep learning machine Charbonneau, Y
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 53a65725-7963-4935-81be-dffc362d97af · outbound
Liquid and solid layers in a thermal deep learning machine Berthier, P
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6fde40c8-b524-4eb3-94a7-21e0855ae7f0 · outbound
Liquid and solid layers in a thermal deep learning machine Urbani, Y
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 f025f583-6345-4e61-a491-1d70584e55aa · outbound
Liquid and solid layers in a thermal deep learning machine Paszke, S
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 de8e21c8-4945-4409-bfb0-3f264f2491c7 · outbound
Liquid and solid layers in a thermal deep learning machine 0” and “1
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 e05c05c0-d660-4ac4-ba99-3ad9501b41eb · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 88f66d24-6730-4c40-aa2d-b545c2e1331f · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 2d62ca22-8a38-4147-95db-3bcb6daa6414 · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 9a361c9d-7669-48b3-b148-8c9ccbbba0e2 · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 e1ddb5dd-58bf-48c9-a029-8f5b815ba367 · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 66c7d333-e51c-46d2-999d-609c4fdd7d1a · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 990ec201-170f-4372-8893-10242095e11e · outbound
Liquid and solid layers in a thermal deep learning machine 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 55b8c2b7-b60f-4539-811b-15a015206c5f · outbound
Liquid and solid layers in a thermal deep learning machine Unresolved cited work
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 4f612042-2e76-4947-bd99-07f997299e1a · outbound
Liquid and solid layers in a thermal deep learning machine Yoshino, From complex to simple: hierarchical free-energy l andscape renormalized in deep neural networks, SciPost Phys
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 7475f5ec-07a9-4dca-a44d-82c40eb250c2 · outbound
Liquid and solid layers in a thermal deep learning machine Yoshino, Spatially heterogeneous learning by a deep stu dent machine, Physical Review Research 5, 033068 (2023)
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 b6495ba4-aff9-466d-a812-3900c525779e · inbound
Statistical physics of deep learning: Optimal learning of a multi-layer perceptron near interpolation Liquid and solid layers in a thermal deep learning machine
Reference 114
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6af441ba-9c99-40c9-a54e-cd5b4d280d01 · inbound
Relaxation of quenched structural glasses: descent in a stiffening caging potential over inflection-point 'speed bumps' Liquid and solid layers in a thermal deep learning machine
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.