Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T22:10:36.934929Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2508.07397.
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 2026-08-05T22:10:36.934929Z
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
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 86228b3c-ff91-4349-b3c8-5599c2481539 · outbound
A Spin Glass Characterization of Neural Networks Amit, Hanoch Gutfreund, and Haim Sompolinsky
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 e90a0048-6b72-4cae-989b-f1cb97782d25 · outbound
A Spin Glass Characterization of Neural Networks Symmetry & Critical Points
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 594bb961-f664-489d-a87d-048e38c05ea4 · outbound
A Spin Glass Characterization of Neural Networks Complexity of random smooth functions on the high-dimensional sphere
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 f509e5d4-7532-4d9a-9914-dc440a96a99a · outbound
A Spin Glass Characterization of Neural Networks Schoenholz, Jascha Sohl-Dickstein, and Surya Ganguli
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 630d0bd0-d161-4f6d-8e9c-416d2fd37fbe · outbound
A Spin Glass Characterization of Neural Networks Curtis, and Jorge Nocedal
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 dcdd4292-623d-469f-8df6-dc1434111002 · outbound
A Spin Glass Characterization of Neural Networks Bray and David S
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 13f53e2a-3a39-4570-af7d-46db36e1269c · outbound
A Spin Glass Characterization of Neural Networks 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 b4936dad-bb28-4f09-849e-55a8f6f05efa · outbound
A Spin Glass Characterization of Neural Networks Quantum langevin dynamics for optimization
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 9113d470-7b1d-49fb-ac87-09159d4c511b · outbound
A Spin Glass Characterization of Neural Networks Landscape analysis for shallow neural networks: Complete classification of critical points for affine target functions
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 17c6cd81-18bd-4ba6-a4b6-db8c9cebd100 · outbound
A Spin Glass Characterization of Neural Networks The loss surfaces of multilayer networks
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 e0171153-b3d5-4c6d-90e4-09929c77f1a5 · outbound
A Spin Glass Characterization of Neural Networks Dauphin, Razvan Pascanu, Caglar Gulcehre, Kyunghyun Cho, Surya Ganguli, and Yoshua Bengio
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 e31dc1b3-80e1-4b74-93f2-84f7f6f886b7 · outbound
A Spin Glass Characterization of Neural Networks Unifying Grokking and Double Descent
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca817741-f122-41d9-90c8-d4543617a0e7 · outbound
A Spin Glass Characterization of Neural Networks Towards a mathematical understanding of neural network-based machine learning: What we know and what we don't
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 804e0a78-74d7-42ee-8d6c-bc3031b77bb6 · outbound
A Spin Glass Characterization of Neural Networks 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 7ec34c5a-18a2-480f-9ae7-29323aef85a6 · outbound
A Spin Glass Characterization of Neural Networks Entropy and mutual information in models of deep neural networks
Reference 15
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 1bf11610-8576-4405-ba48-c449a4e21023 · outbound
A Spin Glass Characterization of Neural Networks The space of interactions in neural network models
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 4392b002-6f6d-46f7-a83e-1714fb7da2c1 · outbound
A Spin Glass Characterization of Neural Networks Unresolved cited work
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 0314d6df-8972-44ce-976c-672e8ecb30b9 · outbound
A Spin Glass Characterization of Neural Networks Flat minima
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 9938f338-1c52-49cb-b342-da257cd076c0 · outbound
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 7fcff1ce-f919-4208-bd97-1013a7aa10ae · outbound
A Spin Glass Characterization of Neural Networks Unresolved cited work
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 84b68ad5-c5d0-4f50-878c-1eb48f82e889 · outbound
A Spin Glass Characterization of Neural Networks Schmidt, and Michael Riis Andersen
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 e49df658-a69a-4364-a354-452ac49b7039 · outbound
A Spin Glass Characterization of Neural Networks Inference from correlated patterns: a unified theory for perceptron learning and linear vector channels
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 267ed49e-e797-493b-abc9-e8bc170253ec · outbound
A Spin Glass Characterization of Neural Networks mingpt: A minimal pytorch re-implementation of gpt
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8133c255-5e08-434f-ba3c-4e1b27019bcf · outbound
A Spin Glass Characterization of Neural Networks Adam: A Method for Stochastic Optimization
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d50c9c3-e7d8-4ad4-b6b2-37cce0cca504 · outbound
A Spin Glass Characterization of Neural Networks Berg, Wan-Yen Lo, Piotr Doll \'a r, and Ross Girshick
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 9e5dfefa-28b2-43a7-951f-2fba1659d442 · outbound
A Spin Glass Characterization of Neural Networks Learning multiple layers of features from tiny images
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 05aa5719-9ad2-4817-8f6b-5744866f2743 · outbound
A Spin Glass Characterization of Neural Networks Deep learning
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 18f1b297-7dd5-4ee6-b142-93f744aeac76 · outbound
A Spin Glass Characterization of Neural Networks Gradient-based learning applied to document recognition
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 5980170b-c884-4271-aff3-f410154749b0 · outbound
A Spin Glass Characterization of Neural Networks Schoenholz, Jeffrey Pennington, and Jascha Sohl-Dickstein
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 08a8281b-4ef0-4fac-8639-c2af926758c2 · outbound
A Spin Glass Characterization of Neural Networks Stochastic modified equations and dynamics of stochastic gradient algorithms i: Mathematical foundations
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 567053f8-4e96-4cf9-baaa-dade6869bde9 · outbound
A Spin Glass Characterization of Neural Networks Hoffman, and David M
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 23d1b6aa-60ff-438d-8004-6e23706a38e6 · outbound
A Spin Glass Characterization of Neural Networks Information, Physics, and Computation
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 a25ef33e-a7dc-4448-a5a8-05b4d587d0ac · outbound
A Spin Glass Characterization of Neural Networks Spin Glass Theory and Beyond: An Introduction to the Replica Method and Its Applications , volume 9 of World Scientific Lecture Notes in Physics
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 9a708c58-6813-4f90-84ed-c2eea132b5c4 · outbound
A Spin Glass Characterization of Neural Networks Bridging lottery ticket and grokking: Understanding grokking from inner structure of networks
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 45a2c7c8-c9bb-4ca5-a0ed-7d4e0456e622 · outbound
A Spin Glass Characterization of Neural Networks Unresolved cited work
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 14bb0c17-66e2-4a60-850f-283010f312b6 · outbound
A Spin Glass Characterization of Neural Networks Pytorch: An imperative style, high-performance deep learning library
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 088ae899-55c0-4843-917e-14fb15376ca0 · outbound
A Spin Glass Characterization of Neural Networks Exponential expressivity in deep neural networks through transient chaos
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 d26c06fd-6bd2-4cdb-bc78-7b502ec7a282 · outbound
A Spin Glass Characterization of Neural Networks On the expressive power of deep neural networks
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 3fb486ad-801b-4778-89d4-8ab65f60afca · outbound
A Spin Glass Characterization of Neural Networks High-Resolution Image Synthesis with Latent Diffusion Models
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eae52684-0e2d-4780-8058-436a55d27974 · outbound
A Spin Glass Characterization of Neural Networks Singularity of the H essian in deep learning
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 3b8774df-09a5-4d85-8cdc-ba4d90796fa1 · outbound
A Spin Glass Characterization of Neural Networks Schoenholz, Justin Gilmer, Surya Ganguli, and Jascha Sohl-Dickstein
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 9dc64373-f7cd-44e9-a98c-dbee3e89f447 · outbound
A Spin Glass Characterization of Neural Networks What Is Life? The Physical Aspect of the Living Cell
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 aa37295f-de20-4a71-be47-4f75a14c1e44 · outbound
A Spin Glass Characterization of Neural Networks Solvable model of a spin-glass
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 dad12ce1-3705-4001-9589-d72c58e21c89 · outbound
A Spin Glass Characterization of Neural Networks Su, and Michael I
Reference 44
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 946ef3ad-3c3b-4878-9020-69c150650947 · outbound
A Spin Glass Characterization of Neural Networks Mean Field Models for Spin Glasses: Volume I: Basic Examples , volume 54 of Ergebnisse der Mathematik und ihrer Grenzgebiete
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 150a4066-e9d2-4a70-93d3-c42eaf9ef865 · outbound
A Spin Glass Characterization of Neural Networks Opening the Black Box: predicting the trainability of deep neural networks with reconstruction entropy
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 e3bef18a-c8df-44c9-b9c2-dd95ec55d0c1 · outbound
A Spin Glass Characterization of Neural Networks Pereira, and William Bialek
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 fc217df2-fc32-48e6-9b0d-fe6e8552e7c8 · outbound
A Spin Glass Characterization of Neural Networks Gomez, Łukasz Kaiser, and Illia Polosukhin
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 325af8e8-56d1-4e08-9f8d-0ebc77dfe8fa · outbound
A Spin Glass Characterization of Neural Networks Tent: Fully test-time adaptation by entropy minimization
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 34ee1b45-73af-41cc-938c-14da27e6b2e6 · outbound
A Spin Glass Characterization of Neural Networks Dynamical Isometry and a Mean Field Theory of CNNs: How to Train 10,000-Layer Vanilla Convolutional Neural Networks
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation afb9b11a-5971-49a8-90b1-c9a26d458fad · outbound
A Spin Glass Characterization of Neural Networks Stochastic gradient descent introduces an effective landscape-dependent regularization favoring flat solutions
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 7b7b3f26-d640-4dec-8bd2-970b77dd829c · outbound
A Spin Glass Characterization of Neural Networks Statistical physics of inference: Thresholds and algorithms
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 ae64905e-ef30-4b1e-b4d0-8123b196629a · outbound
A Spin Glass Characterization of Neural Networks Understanding deep learning requires rethinking generalization
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 c06d3ca6-5826-416f-a04a-06fc84a6eb43 · outbound
A Spin Glass Characterization of Neural Networks Edge of chaos as a guiding principle for modern neural network training
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.
No inbound Pith citation observations are available.