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Paper Citation Record · LEDGER

A Universal Law of Robustness via Isoperimetry

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2105.12806.

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

pith.paper-citation-record.v1
2105.12806 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:19:30.332600Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T18:27:31.258790Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation dc171fc4-10e0-47ee-b9bd-4a73c2207481 · inbound

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization cites this paper.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization A Universal Law of Robustness via Isoperimetry

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:30.332600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:19:30.332600Z digest=sha256:9281121d5cd3e32dd841815676aefba9201f2ec169e0bd3b1776d24a9af053d1

Observation 8b973ae1-5583-43e9-9c0e-3ca3ac8f4488 · inbound

Does Order Matter : Connecting The Law of Robustness to Robust Generalization cites this paper.

Does Order Matter : Connecting The Law of Robustness to Robust Generalization A Universal Law of Robustness via Isoperimetry

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T21:15:38.493319Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:15:38.493319Z digest=sha256:d2411b0059a414c0577b8b5db1e1a0cd7deae3ba501a9ef68908770c55be3b92

Observation 46f1a53d-f503-4203-ac02-d067e3348385 · inbound

TCD-Arena: Assessing Robustness of Time Series Causal Discovery Methods Against Assumption Violations cites this paper.

TCD-Arena: Assessing Robustness of Time Series Causal Discovery Methods Against Assumption Violations A Universal Law of Robustness via Isoperimetry

Reference 255

Resolution
verified exact
arxiv_id, observed 2026-05-08T19:09:02.769541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-08T19:04:40.817413Z digest=sha256:fc746c0e31695b22d94319bf765ffc7bbc3a7e1de2117f061658499738319259

Observation 2ed29cd0-205d-48a0-821d-f8c3307454b8 · inbound

Scalable Distributed Stochastic Optimization via Bidirectional Compression: Beyond Pessimistic Limits cites this paper.

Scalable Distributed Stochastic Optimization via Bidirectional Compression: Beyond Pessimistic Limits A Universal Law of Robustness via Isoperimetry

Reference 59

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:05:54.776928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-11T02:52:53.588595Z digest=sha256:71390d3935636d922c386ee43aca29972f864e6e1c0dc76938e65ad2df3e2f1e

Observation a75493b1-1891-47bd-81eb-7654691e198b · inbound

Rennala MVR: Improved Time Complexity for Parallel Stochastic Optimization via Momentum-Based Variance Reduction cites this paper.

Rennala MVR: Improved Time Complexity for Parallel Stochastic Optimization via Momentum-Based Variance Reduction A Universal Law of Robustness via Isoperimetry

Reference 136

Resolution
verified exact
arxiv_id, observed 2026-05-12T07:51:30.274403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-12T01:51:20.003552Z digest=sha256:fc618d207b0431cde03df466bdfa52ddba29fbce43f7a6c0b664b1ec5cef28f0

Observation b93f75da-8ba2-4bc8-99ae-d905301a6b9b · inbound

Rescaled Asynchronous SGD: Optimal Distributed Optimization under Data and System Heterogeneity cites this paper.

Rescaled Asynchronous SGD: Optimal Distributed Optimization under Data and System Heterogeneity A Universal Law of Robustness via Isoperimetry

Reference 247

Resolution
verified exact
arxiv_id, observed 2026-05-14T19:32:52.093205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-14T19:31:12.149482Z digest=sha256:242654f1af81688e9ffea397421205a5288d20a378f8fc0ed8817a7b9047e0fe

Observation 9418d5f4-f08c-4978-87ee-39a8ec1104f5 · inbound

Ringmaster LMO: Asynchronous Linear Minimization Oracle Momentum Method cites this paper.

Ringmaster LMO: Asynchronous Linear Minimization Oracle Momentum Method A Universal Law of Robustness via Isoperimetry

Reference 138

Resolution
verified exact
arxiv_id, observed 2026-05-20T13:13:18.536495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-20T13:08:52.912250Z digest=sha256:622d7ee6333a55f71258601af248685ce58e1685f830793462099def7b924c19

Observation 0dca0a0b-f620-4a8c-b8b2-69759bc585e2 · inbound

LOSCAR-SGD: Local SGD with Communication-Computation Overlap and Delay-Corrected Sparse Model Averaging cites this paper.

LOSCAR-SGD: Local SGD with Communication-Computation Overlap and Delay-Corrected Sparse Model Averaging A Universal Law of Robustness via Isoperimetry

Reference 140

Resolution
verified exact
arxiv_id, observed 2026-05-21T05:49:40.543057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T05:49:28.713982Z digest=sha256:f8da84f539b9dd31c39459bed7f0bdae51371acf567809ea0e83b6404756e83c

Observation ed96db01-b98d-45cd-bc86-a52eba8531c1 · inbound

A law of robustness for two-layer neural networks with arbitrary weights cites this paper.

A law of robustness for two-layer neural networks with arbitrary weights A Universal Law of Robustness via Isoperimetry

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-07-10T18:27:31.260340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:344fe733fc2ad3e2c0c6a269db0b93a9dcb2fdcc8e7f568fa56176a428b2bea1