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Paper Citation Record · LEDGER

A Spectral Condition for Feature Learning

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 32 inbound Pith citation observations for arXiv:2310.17813.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2310.17813 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 32 of 32 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 32 of 32 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:35:40.237394Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T00:27:30.167566Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 47987749-e8f4-4031-b674-9df86d167320 · inbound

GaLore: Memory-Efficient LLM Training by Gradient Low-Rank Projection cites this paper.

GaLore: Memory-Efficient LLM Training by Gradient Low-Rank Projection A Spectral Condition for Feature Learning

Reference 50

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arxiv_id, observed 2026-05-16T23:51:50.273018Z

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=arxiv_source observed=2026-05-16T23:51:50.163520Z digest=sha256:6a630aa0c639e26c25d259992f74b38904984552ced608702ba841e9ddfba33d

Observation 3d4d3786-4647-4cbe-8f93-20a5b1ad559b · inbound

Old Optimizer, New Norm: An Anthology cites this paper.

Old Optimizer, New Norm: An Anthology A Spectral Condition for Feature Learning

Reference 37

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arxiv_id, observed 2026-05-16T07:27:52.950880Z

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=arxiv_source observed=2026-05-16T07:27:52.883335Z digest=sha256:69bda21f42e072a15a28fd537a6915db2494cd0f96efcd61b3069cd5a95ee176

Observation 863b3947-4a9b-4b8e-8c3e-459ecb3950e2 · inbound

Training Deep Learning Models with Norm-Constrained LMOs cites this paper.

Training Deep Learning Models with Norm-Constrained LMOs A Spectral Condition for Feature Learning

Reference 214

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arxiv_id, observed 2026-05-21T21:22:37.135855Z

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=arxiv_source observed=2026-05-21T21:22:36.870292Z digest=sha256:950e9efe4f06b2378f9aaf1c47b8672b61ab078e91529ad2f5d63fec4cc34e0a

Observation 0d750cd9-6d15-4d64-8b9f-3f5302b61e32 · inbound

Low-rank Momentum Factorization for Memory Efficient Training cites this paper.

Low-rank Momentum Factorization for Memory Efficient Training A Spectral Condition for Feature Learning

Reference 61

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unresolved
no resolver link, observed 2026-08-06T18:35:40.237394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:35:40.237394Z digest=sha256:29de226c0ae07abfb9a6086d7f98c568d0aa09f1b70776ec0c8557239be3798e

Observation 03be3804-69cb-4512-ba0e-179f0a3625b1 · inbound

Training Transformers with Enforced Lipschitz Constants cites this paper.

Training Transformers with Enforced Lipschitz Constants A Spectral Condition for Feature Learning

Reference 2020

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unresolved
no resolver link, observed 2026-08-06T16:30:29.695101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:30:29.695101Z digest=sha256:c13e210a35bf68c75a700052264d5cdde6163f2cfb6c4e16f18d7d930ea807c8

Observation 4f1d9813-30ab-49cd-9c70-7689e2842b80 · inbound

Falcon-H1: A Family of Hybrid-Head Language Models Redefining Efficiency and Performance cites this paper.

Falcon-H1: A Family of Hybrid-Head Language Models Redefining Efficiency and Performance A Spectral Condition for Feature Learning

Reference 119

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unresolved
no resolver link, observed 2026-08-06T11:44:05.214923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T11:44:05.214923Z digest=sha256:4b1a9499b375d5fb459d24e05c200e91517fa0682cb3a5ff5988801faabf8c9c

Observation 430a08ec-d21d-4af3-aa1c-1384aa4b3481 · inbound

Customizing the Inductive Biases of Softmax Attention using Structured Matrices cites this paper.

Customizing the Inductive Biases of Softmax Attention using Structured Matrices A Spectral Condition for Feature Learning

Reference 52

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no resolver link, observed 2026-08-04T21:33:58.943265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T21:33:58.943265Z digest=sha256:60d7591caf4e9edf88a87cf79d577e3212f02dbfc5098f933bf1001161b9aeb3

Observation 94f1e29d-3a57-407c-8f9e-e46d13956016 · inbound

Why Low-Precision Transformer Training Fails: An Analysis on Flash Attention cites this paper.

Why Low-Precision Transformer Training Fails: An Analysis on Flash Attention A Spectral Condition for Feature Learning

Reference 33

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metadata mismatch
arxiv_id, observed 2026-05-18T10:02:31.669691Z

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=2026-05-18T10:01:56.131253Z digest=sha256:f4c94a1c8a52b467a414e3e3657dfd9f4158d1077a8cedca8fa707b8abed5d3c

Observation 3ef3d2cc-554c-468c-85e7-3314eb96fe61 · inbound

Spectral Condition for $\mu$P under Width-Depth Scaling cites this paper.

Spectral Condition for $\mu$P under Width-Depth Scaling A Spectral Condition for Feature Learning

Reference 46

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arxiv_id, observed 2026-05-15T18:06:25.566881Z

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=2026-05-15T18:03:31.202134Z digest=sha256:411a7be4f79c99ba384cb55d81e9c409515d91a0e69c6487f12251677847b991

Observation 9199f2d9-d7f7-4ef2-8ad4-0856539ea791 · inbound

Optimal Projection-Free Adaptive SGD for Matrix Optimization cites this paper.

Optimal Projection-Free Adaptive SGD for Matrix Optimization A Spectral Condition for Feature Learning

Reference 11

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arxiv_id, observed 2026-05-13T20:58:15.740960Z

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=2026-05-13T20:56:41.466669Z digest=sha256:4330b082beefb196fb45bf493a150c8a0a1929d374350c3a804f51bb498755fe

Observation e9ff0d42-59cb-4e8a-967f-d52b207404a4 · inbound

Demystifying Manifold Constraints in LLM Pre-training cites this paper.

Demystifying Manifold Constraints in LLM Pre-training A Spectral Condition for Feature Learning

Reference 21

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verified exact
arxiv_id, observed 2026-05-11T17:16:08.473359Z

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=2026-05-08T17:44:44.438637Z digest=sha256:db734b91ff1eaef2a900a2df00319b0f0c03314536eed646e1267105e32e3a5f

Observation 982ace06-fbed-4f02-b303-9cc6e2c4cdfa · inbound

Optimizer-Model Consistency: Full Finetuning with the Same Optimizer as Pretraining Forgets Less cites this paper.

Optimizer-Model Consistency: Full Finetuning with the Same Optimizer as Pretraining Forgets Less A Spectral Condition for Feature Learning

Reference 38

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verified exact
arxiv_id, observed 2026-05-11T19:26:08.596926Z

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=2026-05-08T12:00:49.127471Z digest=sha256:5e9435e10962a66d22a086a83f7598d0e2ed9ef6280836ffe9fd7169545af817

Observation be3b8060-c5eb-426e-b351-ec69c386d451 · inbound

Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds cites this paper.

Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds A Spectral Condition for Feature Learning

Reference 68

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verified exact
arxiv_id, observed 2026-05-12T05:36:26.095107Z

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=2026-05-12T05:07:39.558349Z digest=sha256:4504008ef3a5217110754c4701d4b896f89e5533b5b82a604b8e6cdeecee9db0

Observation 1781dcbb-0421-4a87-bb40-2583281011ee · inbound

Hyperparameter Transfer for Dense Associative Memories cites this paper.

Hyperparameter Transfer for Dense Associative Memories A Spectral Condition for Feature Learning

Reference 4

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verified exact
arxiv_id, observed 2026-05-12T03:21:18.988386Z

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=2026-05-12T03:18:24.966871Z digest=sha256:90baaace737187dcd596044e70a0cbb2eebc39ea0c9f812c0963d9b73cb3b467

Observation eb1776b3-dce8-4e03-bca7-697dcf1f9138 · inbound

LOFT: Low-Rank Orthogonal Fine-Tuning via Task-Aware Support Selection cites this paper.

LOFT: Low-Rank Orthogonal Fine-Tuning via Task-Aware Support Selection A Spectral Condition for Feature Learning

Reference 42

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metadata mismatch
arxiv_id, observed 2026-05-13T06:17:23.219412Z

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=arxiv_source observed=2026-05-13T06:13:14.111718Z digest=sha256:05a25a35fde43afde9b67660cfcf0932fb12ea426e1dd2338c64e50d2d493cbc

Observation 1cff7a69-e48e-41e6-93f2-f35fe7e7113a · inbound

Pion: A Spectrum-Preserving Optimizer via Orthogonal Equivalence Transformation cites this paper.

Pion: A Spectrum-Preserving Optimizer via Orthogonal Equivalence Transformation A Spectral Condition for Feature Learning

Reference 86

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verified exact
arxiv_id, observed 2026-05-13T04:57:17.571150Z

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=2026-05-13T04:53:52.898843Z digest=sha256:30f418eb581d07cfed96c881c4439676cfcf75f0d6ad4889c34b617162723976

Observation dc71500c-61ee-4f61-9fbb-b390b5ff8f3c · inbound

GQA-{\mu}P: The maximal parameterization update for grouped query attention cites this paper.

GQA-{\mu}P: The maximal parameterization update for grouped query attention A Spectral Condition for Feature Learning

Reference 20

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verified exact
arxiv_id, observed 2026-05-19T16:37:39.789335Z

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=2026-05-19T16:35:40.231293Z digest=sha256:cb09e73be7776474ca3eec88c33ad90c67d6630b41f382ab97caf86a7de2a298

Observation f00380e9-865b-49e1-b6aa-2abfaf44b903 · inbound

Scale-Invariant Neural Network Optimization: Norm Geometry and Heavy-Tailed Noise cites this paper.

Scale-Invariant Neural Network Optimization: Norm Geometry and Heavy-Tailed Noise A Spectral Condition for Feature Learning

Reference 30

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metadata mismatch
arxiv_id, observed 2026-05-20T08:53:24.525200Z

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=arxiv_source observed=2026-05-20T08:48:42.019359Z digest=sha256:5dd43d7e5619aed963c401008c1b596572ae920dc5e4e145fc458ce19bb652ec

Observation 51417ebd-5901-4e1b-b7b0-f890a3972d55 · inbound

Scale-Invariant Neural Network Optimization: Norm Geometry and Heavy-Tailed Noise cites this paper.

Scale-Invariant Neural Network Optimization: Norm Geometry and Heavy-Tailed Noise A Spectral Condition for Feature Learning

Reference 133

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arxiv_id, observed 2026-07-01T14:55:48.586136Z

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=arxiv_source observed=2026-06-30T18:27:40.390908Z digest=sha256:1641ceabac581bf4999da8aa9457a7fec388f506d166245d2b5cd344813d78c3

Observation b0c19c90-44cb-4b7b-a6e7-48102de35ca5 · inbound

Same Architecture, Different Capacity: Optimizer-Induced Spectral Scaling Laws cites this paper.

Same Architecture, Different Capacity: Optimizer-Induced Spectral Scaling Laws A Spectral Condition for Feature Learning

Reference 48

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arxiv_id, observed 2026-05-22T08:51:18.248675Z

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=2026-05-22T08:49:32.864065Z digest=sha256:ba7b3c811e4069f40c524a9888648c17b4db4edfab375fae0d7b585f2bd4509a

Observation 1883bff5-18c1-4e31-9097-da8fecd7d5e8 · inbound

MuCon: Clipped Muon Updates for LLM Training cites this paper.

MuCon: Clipped Muon Updates for LLM Training A Spectral Condition for Feature Learning

Reference 5

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arxiv_id, observed 2026-06-29T20:03:56.403168Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-06-29T19:56:47.120210Z digest=sha256:c46b2dbd559dc2daa2e97a080958fec482d8d89a97e93f696ffe8a08e365bfe8

Observation c5d0de8b-cba6-4984-a8fe-b7871a6f7404 · inbound

Unlocking Feature Learning in Gated Delta Networks at Scale cites this paper.

Unlocking Feature Learning in Gated Delta Networks at Scale A Spectral Condition for Feature Learning

Reference 15

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verified exact
arxiv_id, observed 2026-07-02T02:06:26.438550Z

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=2026-06-28T11:18:55.669013Z digest=sha256:2808bb7937677095f11c9899bb56a5e578b4f36cfaf246efef9ce527acd89d8c

Observation 37e33563-5f6d-4a1b-8f40-db6ac3adc4a5 · inbound

Why Muon Outperforms Adam: A Curvature Perspective cites this paper.

Why Muon Outperforms Adam: A Curvature Perspective A Spectral Condition for Feature Learning

Reference 56

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arxiv_id, observed 2026-07-02T07:06:44.874537Z

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=arxiv_source observed=2026-06-28T07:04:21.012269Z digest=sha256:e84dcf3ffb6f46cf9a8c5131231ae35d3ae480b39878ccf4bc9e8c8bf4ba545c

Observation c301c7de-d64d-47c6-929f-1f628ab135a4 · inbound

Learned Subspace Compression for Communication-Efficient Pipeline Parallelism cites this paper.

Learned Subspace Compression for Communication-Efficient Pipeline Parallelism A Spectral Condition for Feature Learning

Reference 62

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arxiv_id, observed 2026-07-02T07:46:46.159359Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-28T06:41:58.301482Z digest=sha256:b4e60f4b3844db70a0bf56004afe0d33116d28d1921230e85b95788fa185fb3e

Observation c78128b2-06a0-49c4-9062-542ff3ff3bc5 · inbound

Double Preconditioning (DoPr): Optimization for Test-Time Performance, not Validation Loss cites this paper.

Double Preconditioning (DoPr): Optimization for Test-Time Performance, not Validation Loss A Spectral Condition for Feature Learning

Reference 107

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arxiv_id, observed 2026-07-02T12:06:55.422462Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-06-28T02:35:39.845487Z digest=sha256:5b37503d1d98cbada1bb4a2946c9cc436e3b78240c5a70828b10543e29fbd0d0

Observation b06ad916-c197-4251-969d-887808c76df6 · inbound

PC Layer: Polynomial Weight Preconditioning for Improving LLM Pre-Training cites this paper.

PC Layer: Polynomial Weight Preconditioning for Improving LLM Pre-Training A Spectral Condition for Feature Learning

Reference 109

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arxiv_id, observed 2026-07-02T12:16:57.298629Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-06-28T02:15:02.317724Z digest=sha256:34d2cf03606bbf5aaa27b31cfe4f2070f73deaea3752da21d38d0c283ef4d52c

Observation b50031a6-3935-4e3c-b2ba-188512ef1d28 · inbound

Muon Learns More Robust and Transferable Features than Adam cites this paper.

Muon Learns More Robust and Transferable Features than Adam A Spectral Condition for Feature Learning

Reference 134

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arxiv_id, observed 2026-07-03T00:27:30.168898Z

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=arxiv_source observed=2026-06-27T17:08:30.717799Z digest=sha256:82b0c1cbbf3e4a8b76c4530aa058d9a622b95fd40592333493d7ad067891968f

Observation 98b18f5e-3b73-4a86-9b1c-db6279f59ff9 · inbound

Muon learns balanced solutions in matrix factorization without slow saddle-to-saddle dynamics cites this paper.

Muon learns balanced solutions in matrix factorization without slow saddle-to-saddle dynamics A Spectral Condition for Feature Learning

Reference 33

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arxiv_id, observed 2026-06-30T07:24:21.774265Z

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=arxiv_source observed=2026-06-30T07:16:14.269675Z digest=sha256:8196b298821845e3a93f95c0bea0b84c891288136046c2ce71146cda9d1385a0

Observation 04fa2aa2-ff5f-4c6f-b5b7-6b5d013b8c52 · inbound

LipSSD: Lipschitz-Constrained Single-Shot Detection for Adversarially Robust Object Detection cites this paper.

LipSSD: Lipschitz-Constrained Single-Shot Detection for Adversarially Robust Object Detection A Spectral Condition for Feature Learning

Reference 59

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unresolved
no resolver link, observed 2026-07-11T13:19:40.389953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T13:19:40.389953Z digest=sha256:6c647c542ef44363036a4c8b940a3eee4c775a4a9e363500cb086c415a9c4910

Observation 7b35cefb-5bcc-4cee-b570-19e3cedf530a · inbound

Conditional Optimal Bridge for Riemannian Activation Steering cites this paper.

Conditional Optimal Bridge for Riemannian Activation Steering A Spectral Condition for Feature Learning

Reference 22

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no resolver link, observed 2026-07-14T11:08:17.571722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:08:17.571722Z digest=sha256:45b6edb42843a0e6e40ebe07997cf1affc4df2c7f6163f5c8e000deb1c4c9694

Observation 9c8d2a59-dea0-4030-bb23-dd38c5a17c02 · inbound

Scale Weight Decay and Train Better cites this paper.

Scale Weight Decay and Train Better A Spectral Condition for Feature Learning

Reference 68

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no resolver link, observed 2026-07-30T12:53:41.180597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:53:41.180597Z digest=sha256:5b2f47559f6d1a4e6b6eed215998b06ba1d14626a9c57cbd7a8bb32fb830a715

Observation 2c8999f1-332a-4ab8-812f-62fb0759ebc4 · inbound

Algorithmic Separation between Constant-Depth and Logarithmic-Depth Neural Networks cites this paper.

Algorithmic Separation between Constant-Depth and Logarithmic-Depth Neural Networks A Spectral Condition for Feature Learning

Reference 1

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unresolved
no resolver link, observed 2026-08-01T03:14:39.925495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T03:14:39.925495Z digest=sha256:0c351bdd4b8b61c1bd6412fb814677862d8890eeb18a4b8de5d7eb722b06aa95