Paper Citation Record · LEDGER

A Universal Law of Robustness via Isoperimetry

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 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 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T19:45:07.135015Z

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 1105aea2-55fd-40a4-9c09-6403d39ac574 · inbound

How quantum computing can enhance biomarker discovery cites this paper.

How quantum computing can enhance biomarker discovery A Universal Law of Robustness via Isoperimetry

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-12T19:45:07.135015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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.

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.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.