Pith. sign in

Paper Citation Record · LEDGER

Liquid and solid layers in a thermal deep learning machine

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.

pith.paper-citation-record.v1
2506.06789 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:55:13.024278Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:44:22.064745Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

57 of 57 outbound references displayed

  • verified exact2
  • verified fuzzy32
  • unresolved22
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 097857fe-50fe-4afe-99a7-c8d15b96be7d · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:14.217672Z

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.

source=pdf_text observed=2026-08-07T05:55:12.751531Z digest=sha256:7694425786279153a242013926e8ed12c2a25b5bd6f2bced0eb8e4751f056834

Observation 7b653dad-dfff-46d9-92aa-dcd4a396c66f · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:14.201102Z

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.

source=pdf_text observed=2026-08-07T05:55:12.757353Z digest=sha256:a244bfe98e4c412db66cea4674358901d3e4808415892f06e627881ced55eff0

Observation 48dea6aa-c3a1-466a-8803-6baa2a1c1418 · outbound

This paper cites 5 − 3 − 2.

Liquid and solid layers in a thermal deep learning machine 5 − 3 − 2

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:14.185488Z

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.

source=pdf_text observed=2026-08-07T05:55:12.761978Z digest=sha256:ea66838ba6fbccb319379ff9d93240aa7647d0de865dacce5f031ae775d7f8f9

Observation 9812215b-8b52-4613-89b6-a7213969260d · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:14.169495Z

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.

source=pdf_text observed=2026-08-07T05:55:12.767241Z digest=sha256:f416c58c423613676a857d70d6225fa3a99bb6c1c25e3a6c858765c5d6f51b29

Observation bcd7fe72-119e-4dda-bbc8-ea26108d17cb · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 5

Resolution
parse uncertain
raw_fallback, observed 2026-08-07T05:55:14.152831Z

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.

source=pdf_text observed=2026-08-07T05:55:12.772270Z digest=sha256:8e02c8157b04b5f36d4dcd72e8ed9266fe7f9424a65de509c9373d53e316a261

Observation 2ac55283-857e-4a5e-bf16-90b1aa5c927e · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:14.136406Z

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.

source=pdf_text observed=2026-08-07T05:55:12.777229Z digest=sha256:cec00ab0574253bc8646986c3bc038f2b1939a40fc02d880ba660bee87bd50c2

Observation 17c0ca60-d380-4e61-b060-09014244985c · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:14.121037Z

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.

source=pdf_text observed=2026-08-07T05:55:12.782177Z digest=sha256:9a13b0bba7cfea41d826401402f596f1b51ee1aba7e8b3a18d04bc51040b45e4

Observation d2e3d657-2e57-480b-9d04-5fc666e7ba35 · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:14.103526Z

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.

source=pdf_text observed=2026-08-07T05:55:12.786898Z digest=sha256:33fca43958e83bcb13e83e9c4a192ee2c4697da97786c1614c44b1771cc14d35

Observation 0e8f7e7e-2331-4fcb-87e4-30c0574ed686 · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:14.082956Z

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.

source=pdf_text observed=2026-08-07T05:55:12.791931Z digest=sha256:126c41348f7fc7c58f0ddc3c61ee333fdf48a88079bebb221f355de2bdcb14a3

Observation 47dcdf6c-cc22-4f57-b3d1-4ebe621591ac · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:14.062706Z

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.

source=pdf_text observed=2026-08-07T05:55:12.796666Z digest=sha256:581b9f4e120d99f26191de521337555baf9e99ae5f0c1f865a69e74d4910e677

Observation 7130b3a0-e08c-4c1f-a234-bcaf8d95456d · outbound

This paper cites We set M = 2000 and ln α = 4.

Liquid and solid layers in a thermal deep learning machine We set M = 2000 and ln α = 4

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:14.043328Z

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.

source=pdf_text observed=2026-08-07T05:55:12.802083Z digest=sha256:9ba2e3877f0157141e400cc9d365d497eea7f88b8a575f7e8254260beff2fbf9

Observation 02aaa93f-53b2-4b2c-9987-4cb0f173a99c · outbound

This paper cites Monasson and R.

Liquid and solid layers in a thermal deep learning machine Monasson and R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:14.025297Z

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.

source=pdf_text observed=2026-08-07T05:55:12.807378Z digest=sha256:8cf3e7c0953fdff3d3eb06c781eadd96f5e40413a449ebee36d2a2fe8205545e

Observation 5469a47c-af6f-4fbe-a089-3f52432af52d · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:14.007306Z

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.

source=pdf_text observed=2026-08-07T05:55:12.812433Z digest=sha256:e616ac64e7699a683ef32601d3eea43fea111bdfd45652ddc794f5e4a1c30e00

Observation 60f083d0-06d9-4e20-94ce-0a7f562a0b79 · outbound

This paper cites Engel and C.

Liquid and solid layers in a thermal deep learning machine Engel and C

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.988049Z

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.

source=pdf_text observed=2026-08-07T05:55:12.816726Z digest=sha256:45cb628560f79a69b65b1c30005ffd00898a53cb561f74a63755c2f700cd1267

Observation 4787d15d-8fd1-4d48-9509-6473336b5116 · outbound

This paper cites Carleo, I.

Liquid and solid layers in a thermal deep learning machine Carleo, I

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T05:55:12.822117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:55:12.822117Z digest=sha256:0b6539991671b4f98db77faf99e01897bee5f126ae33babb5ae823f9aaf54537

Observation d9322d61-0191-421f-8871-aaa321a645b1 · outbound

This paper cites Nishimori, Statistical physics of spin glasses and in- formation processing: An introduction (Clarendon press, Oxford, 2001).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.957742Z

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.

source=pdf_text observed=2026-08-07T05:55:12.826766Z digest=sha256:51d9a0f5617a9bb73ed2bf558db735ccf532694d98cb16f50eaa9fdd4e7ae4f7

Observation e423c3c6-939d-4602-aa7a-8736819e64ed · outbound

This paper cites Gardner, Maximum storage capacity in neural net- works, Europhys.

Liquid and solid layers in a thermal deep learning machine Gardner, Maximum storage capacity in neural net- works, Europhys

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.938547Z

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.

source=pdf_text observed=2026-08-07T05:55:12.831425Z digest=sha256:b4a01fe1eacbd561c47d9b7b3880abeb693c7c7f05a17fbe4cfa76fac558b866

Observation 9ea475f3-c8eb-42e0-9866-4e8d4923a374 · outbound

This paper cites Gardner, The space of interactions in neural network models, J.

Liquid and solid layers in a thermal deep learning machine Gardner, The space of interactions in neural network models, J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.919605Z

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.

source=pdf_text observed=2026-08-07T05:55:12.835703Z digest=sha256:6de9a0c0172abdc0eba72aa87dfe2ee5a4e059a3cc936f01a04a8d65d413547e

Observation c1d3c050-3692-44f8-be48-46309d984337 · outbound

This paper cites Baldassi, C.

Liquid and solid layers in a thermal deep learning machine Baldassi, C

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.899779Z

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.

source=pdf_text observed=2026-08-07T05:55:12.840244Z digest=sha256:6b37bf7a20cb10d7fe6c36dd0f8b5008bbc4ccb4d72476348620bc2ef55af275

Observation d5616f7b-2ae1-47bb-a834-c26ee1e2fd18 · outbound

This paper cites Choromanska, M.

Liquid and solid layers in a thermal deep learning machine Choromanska, M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.882779Z

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.

source=pdf_text observed=2026-08-07T05:55:12.845317Z digest=sha256:e46ac3bb447569940db2f7bca25a908c613008d546e593284e92ba4954c7aca1

Observation 972ccc84-cf0a-4de1-a96e-2bfceb09585d · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:13.863479Z

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.

source=pdf_text observed=2026-08-07T05:55:12.850196Z digest=sha256:bbee727ea1c146f66bc193dec811a1b9b68689a23807e413550cc2023b3e58ae

Observation 5c7c1b6f-5bfe-4db9-b0ef-8720c07555b5 · outbound

This paper cites Baity-Jesi, L.

Liquid and solid layers in a thermal deep learning machine Baity-Jesi, L

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.844722Z

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.

source=pdf_text observed=2026-08-07T05:55:12.855062Z digest=sha256:b438c7102f8504476f91eef362728b830385bc831b8f0dc69c6f79314d2acbad

Observation c4087602-cea7-45e9-8e35-1fcc8d6c4ba2 · outbound

This paper cites Franz, S.

Liquid and solid layers in a thermal deep learning machine Franz, S

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.825690Z

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.

source=pdf_text observed=2026-08-07T05:55:12.859518Z digest=sha256:6443587d68b851700a75dba30a4fca3710d3472dafed13bda61d9b02d691f482

Observation 650e7a31-8d7a-4028-8929-0157341f168b · outbound

This paper cites Geiger, S.

Liquid and solid layers in a thermal deep learning machine Geiger, S

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.804543Z

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.

source=pdf_text observed=2026-08-07T05:55:12.864289Z digest=sha256:19957844e1dd6b864031854192db3ecdcfa663f6d790fe70db87735013f707ec

Observation 47ee457c-8b06-475c-9119-62257d35757c · outbound

This paper cites Yoshino, From complex to simple: hierarchical free- energy landscape renormalized in deep neural networks, SciPost Phys.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.786128Z

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.

source=pdf_text observed=2026-08-07T05:55:12.869076Z digest=sha256:04df78d66df46c69643b22d4c9eec6ec14a096ec4ba7190e607fc4bc8bf38c8e

Observation 725ad304-4bf8-46b6-94a2-cba4ed64862c · outbound

This paper cites Yoshino, Spatially heterogeneous learning by a deep student machine, Physical Review Research 5, 033068 (2023).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.768348Z

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.

source=pdf_text observed=2026-08-07T05:55:12.874085Z digest=sha256:99d742c3b09ab1585acf67ea28cebcf6553498d0660d39aedea4737dece1600c

Observation 0f91a7c1-33dc-44d9-a383-bd16b6a29545 · outbound

This paper cites Huang, R.

Liquid and solid layers in a thermal deep learning machine Huang, R

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.748610Z

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.

source=pdf_text observed=2026-08-07T05:55:12.878811Z digest=sha256:c413df545953fdd8d628a5483753bb4d578b2d7979ad61f7fe07712d23fcf36e

Observation 3451b5b7-7ab3-4691-8dd2-28b6654de890 · outbound

This paper cites Glassy dynamics in deep neural networks: A structural comparison.

Liquid and solid layers in a thermal deep learning machine Glassy dynamics in deep neural networks: A structural comparison

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:55:13.223382Z

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.

source=pdf_text observed=2026-08-07T05:55:12.883902Z digest=sha256:aacc418c025074735ae15288782a3fe9919f531cd1c7cbdfe61277d88f497f78

Observation 1f9f0216-51b8-4724-9a8e-63d451526d08 · outbound

This paper cites Nelson, T.

Liquid and solid layers in a thermal deep learning machine Nelson, T

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.728791Z

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.

source=pdf_text observed=2026-08-07T05:55:12.888881Z digest=sha256:30657a9d94cbbabad622c5085694447c5628466446bdb62f1694d5f200e405a7

Observation 4237e048-476f-450d-af6d-e3c7592d7d1f · outbound

This paper cites Krzakala and L.

Liquid and solid layers in a thermal deep learning machine Krzakala and L

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.710144Z

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.

source=pdf_text observed=2026-08-07T05:55:12.894164Z digest=sha256:514af4cf6b40d74ebdb7288df910672f5d96a777519070686614eac86f8840de

Observation d71c2411-edeb-40bf-bf9c-507fb3787651 · outbound

This paper cites Krzakala and L.

Liquid and solid layers in a thermal deep learning machine Krzakala and L

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.691748Z

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.

source=pdf_text observed=2026-08-07T05:55:12.898986Z digest=sha256:e8a374a111fa08b9f81bddf30178b1a63e5a7bbc4b5499b81301de309618a35d

Observation f181248e-e39b-42e9-b7a2-738d5df6e539 · outbound

This paper cites Biroli, J.-P.

Liquid and solid layers in a thermal deep learning machine Biroli, J.-P

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.672947Z

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.

source=pdf_text observed=2026-08-07T05:55:12.903506Z digest=sha256:e17688d2e4552997f860ca56b4c3970e081595455a6669276283d39d0aa305ba

Observation abc55b52-d7b9-4a53-811c-2c0fd651084c · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:13.653880Z

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.

source=pdf_text observed=2026-08-07T05:55:12.907982Z digest=sha256:77e0ea9622e0bb555edc37ec2d605b5ccdb30a4f14cf9a79020a86eb900901db

Observation 824644e2-82eb-4fd4-ad5f-c4bd0bed1163 · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:13.634219Z

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.

source=pdf_text observed=2026-08-07T05:55:12.913380Z digest=sha256:d4fc9ed000a5a07675b3eb91e3cc77fdb19fd38e2bfb67a7067014f1997102bc

Observation 6c625250-8625-49a1-94ed-123d93b8cd32 · outbound

This paper cites Ikeda and A.

Liquid and solid layers in a thermal deep learning machine Ikeda and A

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.614453Z

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.

source=pdf_text observed=2026-08-07T05:55:12.918097Z digest=sha256:d671c5e0e743142255cf82e39ba842b3ebe6775a022e74361c0d73055efba815

Observation 3431128f-b76a-4e7e-8599-ac192068c1b7 · outbound

This paper cites Singh, M.

Liquid and solid layers in a thermal deep learning machine Singh, M

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.594026Z

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.

source=pdf_text observed=2026-08-07T05:55:12.923259Z digest=sha256:c5014a77e5814d4a26ab60651e30744238926bbba0b2334624d7f95787f32a79

Observation 212264f4-ea6c-452b-afdb-0650a6f68dd0 · outbound

This paper cites Berthier, P.

Liquid and solid layers in a thermal deep learning machine Berthier, P

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.573411Z

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.

source=pdf_text observed=2026-08-07T05:55:12.927669Z digest=sha256:7d26efb8dd1e189c161f2292b76623552b8bb7dc5f5922ac6e48b985bec6b802

Observation 826fd9ea-0b35-46d5-a582-67e79c82fcfb · outbound

This paper cites LeCun, C.

Liquid and solid layers in a thermal deep learning machine LeCun, C

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.553024Z

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.

source=pdf_text observed=2026-08-07T05:55:12.932494Z digest=sha256:bf1527cf9fd331fa4009718f9402a1afa61af32a6bca4ed982fd1a960b1dbb09

Observation df64d348-26f0-42e3-a20d-8e5b505fe561 · outbound

This paper cites Qiao, The MNIST database of handwritten digits, Re- trieved 18 August 2013 (2007).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.532355Z

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.

source=pdf_text observed=2026-08-07T05:55:12.938541Z digest=sha256:f224ce69f95b26d728542d916582fbfcbadbd0ac174921afb5f1e17d3ff38a81

Observation 67911f9a-1bb0-4907-acb8-53c6e3da6d9e · outbound

This paper cites Li and Y.

Liquid and solid layers in a thermal deep learning machine Li and Y

Reference 40

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:55:13.200556Z

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.

source=pdf_text observed=2026-08-07T05:55:12.943249Z digest=sha256:279d65a29e9c190aaed7f6970e72e2a9970ce1399420ea4b1112876b9a40bafe

Observation 4a2485bc-bf91-4a19-8da5-71bee74d270b · outbound

This paper cites Hastie, R.

Liquid and solid layers in a thermal deep learning machine Hastie, R

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.512764Z

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.

source=pdf_text observed=2026-08-07T05:55:12.948190Z digest=sha256:19984eb5a0772e7554d96e2623ebd80fcaf1e5b48e7556a97977dae623065290

Observation c9716d32-e32c-4ad3-a2f6-ac9ecada06d4 · outbound

This paper cites Charbonneau, J.

Liquid and solid layers in a thermal deep learning machine Charbonneau, J

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.493824Z

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.

source=pdf_text observed=2026-08-07T05:55:12.952863Z digest=sha256:bc394808f1483f7eea612e33102062bacdfa7a6f920e25dfc55f2d04f80cb074

Observation c0745e88-94f4-45c9-9d30-99d9ad738f66 · outbound

This paper cites Charbonneau, Y.

Liquid and solid layers in a thermal deep learning machine Charbonneau, Y

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.475928Z

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.

source=pdf_text observed=2026-08-07T05:55:12.957348Z digest=sha256:eb8379f2f7367c9559ad62a9744729d9cf242f298a4c9308d8ca90d815235c9e

Observation 53a65725-7963-4935-81be-dffc362d97af · outbound

This paper cites Berthier, P.

Liquid and solid layers in a thermal deep learning machine Berthier, P

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T05:55:12.962213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:55:12.962213Z digest=sha256:017b4445d5b2ee1e292e01330d86881eaa9c8002654b77caac8e4fa5366b549b

Observation 6fde40c8-b524-4eb3-94a7-21e0855ae7f0 · outbound

This paper cites Urbani, Y.

Liquid and solid layers in a thermal deep learning machine Urbani, Y

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.442898Z

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.

source=pdf_text observed=2026-08-07T05:55:12.967039Z digest=sha256:b1710d0c0064c36cfe5a8f82d7e2da595fc5e87acfae92036e811f0e7dc87aa9

Observation f025f583-6345-4e61-a491-1d70584e55aa · outbound

This paper cites Paszke, S.

Liquid and solid layers in a thermal deep learning machine Paszke, S

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.423914Z

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.

source=pdf_text observed=2026-08-07T05:55:12.972790Z digest=sha256:7e717b75d037b7816e679b2af8703e8121b4ada07d37d96250e86bc6b5a39e5e

Observation de8e21c8-4945-4409-bfb0-3f264f2491c7 · outbound

This paper cites 0” and “1.

Liquid and solid layers in a thermal deep learning machine 0” and “1

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.404400Z

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.

source=pdf_text observed=2026-08-07T05:55:12.977388Z digest=sha256:0f02493f296088b1a7be4648e113b79452098d9a0354039a85a3084ed0f2425c

Observation e05c05c0-d660-4ac4-ba99-3ad9501b41eb · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:13.384927Z

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.

source=pdf_text observed=2026-08-07T05:55:12.982320Z digest=sha256:6006d3ddd2cc4bf2e11debef228028498a35227bdba382ee9dc28032159a46c5

Observation 88f66d24-6730-4c40-aa2d-b545c2e1331f · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:13.366707Z

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.

source=pdf_text observed=2026-08-07T05:55:12.986940Z digest=sha256:b272f9637aff41a3af0a70b8918bccc703f01aa96262c6ac504cd41f0f3ee2f3

Observation 2d62ca22-8a38-4147-95db-3bcb6daa6414 · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:13.348983Z

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.

source=pdf_text observed=2026-08-07T05:55:12.991500Z digest=sha256:e2fde501ebf9b4a3995a097c2523042ce9f39c1587dcd7df06e3b5d4980eef00

Observation 9a361c9d-7669-48b3-b148-8c9ccbbba0e2 · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:13.332963Z

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.

source=pdf_text observed=2026-08-07T05:55:12.996017Z digest=sha256:74bbaa01f06d868d694ee9867b7f66c2de1a76e5305e003b21f2b8e8c20f9536

Observation e1ddb5dd-58bf-48c9-a029-8f5b815ba367 · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:13.317624Z

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.

source=pdf_text observed=2026-08-07T05:55:13.001108Z digest=sha256:b6a6f4c94575ecadcfd4fe7fdfbe597a7811453fd49cd1fc32fada5cbd937cd9

Observation 66c7d333-e51c-46d2-999d-609c4fdd7d1a · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:13.302538Z

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.

source=pdf_text observed=2026-08-07T05:55:13.005766Z digest=sha256:4bc1a3a33dbe6611880cb3f5e2729f9c173e739ff54d4205d6490e143932e0f5

Observation 990ec201-170f-4372-8893-10242095e11e · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:13.286173Z

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.

source=pdf_text observed=2026-08-07T05:55:13.010442Z digest=sha256:0f7966187610088b4a25ef10f1324581856ed221520825b8cad04a7db80571ba

Observation 55b8c2b7-b60f-4539-811b-15a015206c5f · outbound

This paper cites an unresolved cited work.

Liquid and solid layers in a thermal deep learning machine Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:13.270298Z

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.

source=pdf_text observed=2026-08-07T05:55:13.015071Z digest=sha256:e0ff3c604d3fca8535dfe0dd27a8ba6404e3c6cc299e8fc49cd69c6e69e9da75

Observation 4f612042-2e76-4947-bd99-07f997299e1a · outbound

This paper cites Yoshino, From complex to simple: hierarchical free-energy l andscape renormalized in deep neural networks, SciPost Phys.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.254907Z

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.

source=pdf_text observed=2026-08-07T05:55:13.019765Z digest=sha256:0d9b6edcc3b2bcd09c4498db9224fc3186c223bc0aa42d9913bc34cb383e1d87

Observation 7475f5ec-07a9-4dca-a44d-82c40eb250c2 · outbound

This paper cites Yoshino, Spatially heterogeneous learning by a deep stu dent machine, Physical Review Research 5, 033068 (2023).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:13.239121Z

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.

source=pdf_text observed=2026-08-07T05:55:13.024278Z digest=sha256:f110efe76f8f2ffe3d3925b35b5d05e6afa0e6c248c165ccf606d3c7bc52b65e

Pith citing papers

Observation b6495ba4-aff9-466d-a812-3900c525779e · inbound

Statistical physics of deep learning: Optimal learning of a multi-layer perceptron near interpolation cites this paper.

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

Resolution
unresolved
no resolver link, observed 2026-08-04T07:44:22.064745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T07:44:22.064745Z digest=sha256:a0cba8616933d4603318e89884365814004917b666fc5ea12a57bd2ceaf1543c

Observation 6af441ba-9c99-40c9-a54e-cd5b4d280d01 · inbound

Relaxation of quenched structural glasses: descent in a stiffening caging potential over inflection-point 'speed bumps' cites this paper.

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

Resolution
unresolved
no resolver link, observed 2026-08-01T02:46:34.366616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:46:34.366616Z digest=sha256:3691e5b571b619ee3ca1b1c8ff178abff65f917e8c3f48be009e7429f4012bfc