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Paper Citation Record · LEDGER

Worker Disagreement Reveals Sharp Directions in Local SGD

As of 9 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2605.27739.

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

pith.paper-citation-record.v1
2605.27739 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T18:15:03.796618Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact9
  • verified fuzzy0
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 492fe671-9365-422e-b59e-acd0a519aae0 · outbound

This paper cites High- dimensional sgd aligns with emerging outlier eigenspaces.

Worker Disagreement Reveals Sharp Directions in Local SGD High- dimensional sgd aligns with emerging outlier eigenspaces

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:4e6b3f19f28c31d56611b630ac7001668e559ea40b29162c1cf3da57792d6bfc

Observation 4f74cf5c-cc2e-423c-b012-b00b3249beb8 · outbound

This paper cites An investigation into neural net opti- mization via hessian eigenvalue density.

Worker Disagreement Reveals Sharp Directions in Local SGD An investigation into neural net opti- mization via hessian eigenvalue density

Reference 2

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Unavailable: canonical work link unavailable.

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Observation 1de44867-f33f-4df6-9a1d-b82a143ad094 · outbound

This paper cites Gradient Descent Happens in a Tiny Subspace.

Worker Disagreement Reveals Sharp Directions in Local SGD Gradient Descent Happens in a Tiny Subspace

Reference 3

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verified exact
local_arxiv, observed 2026-06-29T18:23:51.067374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation d9146308-07c7-455a-8f54-52940db5cccb · outbound

This paper cites an unresolved cited work.

Worker Disagreement Reveals Sharp Directions in Local SGD Unresolved cited work

Reference 4

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:91d8f1924a1eea4e3d90b8aab0d69ed1cc094bcb2c17776a28134d366b925717

Observation b8fa8932-0965-4331-b47c-364619ccf519 · outbound

This paper cites Learning multiple layers of features from tiny images.

Worker Disagreement Reveals Sharp Directions in Local SGD Learning multiple layers of features from tiny images

Reference 5

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:643d3da59a6a6e87dfef59b0c11fe788f7f85bcf2bfe0053c5d3b9aeefc27afc

Observation 091c2c92-0375-43b4-935b-6a1833e52b0d · outbound

This paper cites Gradient-based learning applied to document recognition.

Worker Disagreement Reveals Sharp Directions in Local SGD Gradient-based learning applied to document recognition

Reference 6

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verified exact
doi, observed 2026-06-29T18:23:50.276480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:e854c78c49a07d48c8adf2f809c88e381e9680b3c0a3895b41a9834e63bd12e1

Observation 85f755e1-f3e7-41a0-bfad-cd9e3260c89c · outbound

This paper cites Low dimensional trajectory hypothesis is true: Dnns can be trained in tiny subspaces.IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(3):3411–3420, 2023.

Worker Disagreement Reveals Sharp Directions in Local SGD Low dimensional trajectory hypothesis is true: Dnns can be trained in tiny subspaces.IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(3):3411–3420, 2023

Reference 7

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verified exact
arxiv_id, observed 2026-06-29T18:23:50.281807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:d4e1278a09f749ed0d70abb61df4a0da64e12c06475002822801e15e9975709c

Observation cd12b2b7-8885-4367-9b2f-1c730f1c1b17 · outbound

This paper cites Communication-efficient learning of deep networks from decentralized data.

Worker Disagreement Reveals Sharp Directions in Local SGD Communication-efficient learning of deep networks from decentralized data

Reference 8

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:f13e05dc4864334b23023d8c7724802067dea09215d475a865011b77e2589d39

Observation 12ec6ffd-fc2b-4c41-b34f-e434f2330d0d · outbound

This paper cites The Full Spectrum of Deepnet Hessians at Scale: Dynamics with SGD Training and Sample Size.

Worker Disagreement Reveals Sharp Directions in Local SGD The Full Spectrum of Deepnet Hessians at Scale: Dynamics with SGD Training and Sample Size

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-06-29T18:23:51.069932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:71674e851d52e0fb29aa8e4181b8c167393fc2d735a4f0aa740adcbf2b779630

Observation c00f88d1-d4f6-46e6-940a-efa06113df5a · outbound

This paper cites Eigenvalues of the Hessian in Deep Learning: Singularity and Beyond.

Worker Disagreement Reveals Sharp Directions in Local SGD Eigenvalues of the Hessian in Deep Learning: Singularity and Beyond

Reference 10

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verified exact
local_arxiv, observed 2026-06-29T18:23:51.072393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation f5e39b8a-fd6a-4bbf-81df-4f048571de40 · outbound

This paper cites Empirical Analysis of the Hessian of Over-Parametrized Neural Networks.

Worker Disagreement Reveals Sharp Directions in Local SGD Empirical Analysis of the Hessian of Over-Parametrized Neural Networks

Reference 11

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verified exact
local_arxiv, observed 2026-06-29T18:23:51.075039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:a2681c80627b4e211d908501a4f8447c63ff73969a8695817509ae43f40a7631

Observation 4513a333-24f2-49d5-9d9a-7b588705c611 · outbound

This paper cites Recursive deep models for semantic compositionality over a sen- timent treebank.

Worker Disagreement Reveals Sharp Directions in Local SGD Recursive deep models for semantic compositionality over a sen- timent treebank

Reference 12

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:9db4797070beffec6b4d427bb9f84b1fab8ec27d9d40e5012f1a3446ab52fffd

Observation da05f4f5-9d0b-4e60-96b6-f6b67796df17 · outbound

This paper cites Does sgd really happen in tiny subspaces? InInternational Conference on Learning Representations, volume 2025, pages 8086–8120, 2025.

Worker Disagreement Reveals Sharp Directions in Local SGD Does sgd really happen in tiny subspaces? InInternational Conference on Learning Representations, volume 2025, pages 8086–8120, 2025

Reference 13

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:12276b2a8c78ea8b2187f726b7df73eee951c549bc7c372bb9adef2c97363d96

Observation 50b89329-a6a1-4281-84f8-963b54eacda8 · outbound

This paper cites Local sgd converges fast and communicates little.

Worker Disagreement Reveals Sharp Directions in Local SGD Local sgd converges fast and communicates little

Reference 14

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:8183319fd865f679c18f52e84635efaf885d8b56321309f5c48c8c142a902ddb

Observation ad5c5988-25cc-4130-af6c-5ba4c6095489 · outbound

This paper cites Investigating the overlooked hessian structure: From CNNs to LLMs.

Worker Disagreement Reveals Sharp Directions in Local SGD Investigating the overlooked hessian structure: From CNNs to LLMs

Reference 15

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:a7750e5d3d83003f81d07a3c8eb219326274e366d6ee6494bf839f213170ed90

Observation c8411df8-3b3e-4013-b567-571826b76f0e · outbound

This paper cites On the overlooked struc- ture of stochastic gradients.

Worker Disagreement Reveals Sharp Directions in Local SGD On the overlooked struc- ture of stochastic gradients

Reference 16

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:687d339cde3f05a6807e10db8d2c1a51a749623586958cf533e0cfc9eb867510

Observation e6035fb1-18f8-4b2d-8cff-9141302e92e1 · outbound

This paper cites Compressible dynamics in deep overpa- rameterized low-rank learning and adaptation.

Worker Disagreement Reveals Sharp Directions in Local SGD Compressible dynamics in deep overpa- rameterized low-rank learning and adaptation

Reference 17

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:c5b3a98a1262f815a136877f1ea159509b919d56bf260f632d9ccb7f2b13ff0e

Observation 1918ce67-fa02-4a2f-b3dd-3d4d53d2d41c · outbound

This paper cites On the Superlinear Relationship between SGD Noise Covariance and Loss Landscape Curvature.

Worker Disagreement Reveals Sharp Directions in Local SGD On the Superlinear Relationship between SGD Noise Covariance and Loss Landscape Curvature

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-06-29T18:23:51.077809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:e89dc051d26212eeab5ba451e2eae5de5feabc5b56e3eacb7402706c42e6d8c1

Observation 28bcc95c-cc92-4a61-8760-099982b453ca · outbound

This paper cites BSFA: Leveraging the sub- space dichotomy to accelerate neural network training.

Worker Disagreement Reveals Sharp Directions in Local SGD BSFA: Leveraging the sub- space dichotomy to accelerate neural network training

Reference 19

Resolution
verified exact
doi, observed 2026-06-29T18:23:50.278813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:3fae73c0df0466c6185f85be2342681fa86f820b0a2bca2668b74d46e93913cb

Observation 51196737-5b18-470d-96d2-0e380a4e5ba4 · outbound

This paper cites The Anisotropic Noise in Stochastic Gradient Descent: Its Behavior of Escaping from Sharp Minima and Regularization Effects.

Worker Disagreement Reveals Sharp Directions in Local SGD The Anisotropic Noise in Stochastic Gradient Descent: Its Behavior of Escaping from Sharp Minima and Regularization Effects

Reference 20

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local_arxiv, observed 2026-06-29T18:23:51.064929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T18:15:03.796618Z digest=sha256:f29a570af65b9947d889068c89efd960affab659731346007b6046cfe4da8063

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No inbound Pith citation observations are available.