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Paper Citation Record · LEDGER

A law of robustness for two-layer neural networks with arbitrary weights

As of 10 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.07778.

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

pith.paper-citation-record.v1
2607.07778 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 15 of 15 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 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

15 of 15 outbound references displayed

  • verified exact7
  • verified fuzzy4
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6014b1f0-319e-424c-8059-1a5a25f22710 · outbound

This paper cites Bubeck, Y.

A law of robustness for two-layer neural networks with arbitrary weights Bubeck, Y

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T18:37:31.868417Z

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=2026-07-10T18:18:29.599481Z digest=sha256:2baa5ee3a9db3973a4698d54a07fbf39a15ab88ad6bbf58777ae798079a91a49

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

This paper cites A Universal Law of Robustness via Isoperimetry.

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

Observation 603213d0-4fe4-42a5-933b-85f1209f0e7f · outbound

This paper cites an unresolved cited work.

A law of robustness for two-layer neural networks with arbitrary weights Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-07-10T18:37:31.866835Z

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=2026-07-10T18:18:29.599481Z digest=sha256:19265c7206c871b59cddec1dc25292f3da4964dd47ea448fc55d7f2412d9dfc6

Observation 019f4460-f670-4f36-a2f7-79327fa52591 · outbound

This paper cites Dubhashi and D.

A law of robustness for two-layer neural networks with arbitrary weights Dubhashi and D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T18:37:31.860806Z

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=2026-07-10T18:18:29.599481Z digest=sha256:0f8c3023ee92f767d9c73fca9598d16f7d75564f7ae88c3ec2d59e55c0efecc2

Observation bfc5986a-186f-4987-bb64-b49c6febc109 · outbound

This paper cites Thomas Hofmann, Bernhard Sch¨ olkopf, and Alexander J Smola.

A law of robustness for two-layer neural networks with arbitrary weights Thomas Hofmann, Bernhard Sch¨ olkopf, and Alexander J Smola

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-10T18:27:31.272404Z

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=2026-07-10T18:18:29.599481Z digest=sha256:b42bd6b30dea6a95ece4f42c297168c6430cf5c18aea9e7c878f6eaf7a1ade4e

Observation 95a135e9-076f-41b6-b3d8-6d4bc0db382f · outbound

This paper cites Pinkus.Ridge Functions.

A law of robustness for two-layer neural networks with arbitrary weights Pinkus.Ridge Functions

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T18:37:31.858281Z

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=2026-07-10T18:18:29.599481Z digest=sha256:2e649ba0ee79e0ad09f68441795368ed7d9ea11565b94d18407ebd1a066031da

Observation 0aa60333-5fcd-425d-9057-f84a62516bff · outbound

This paper cites Cambridge University Press, Cambr idge, UK (2015).

A law of robustness for two-layer neural networks with arbitrary weights Cambridge University Press, Cambr idge, UK (2015)

Reference 7

Resolution
verified exact
doi, observed 2026-07-10T18:27:31.269655Z

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=2026-07-10T18:18:29.599481Z digest=sha256:62b3d7e4a075cc4c4892c108a47cb170eb5abb5ce6d70668ddaf50a9f0d6c640

Observation fbf57cae-e01a-4b46-81b1-b08d6fe29498 · outbound

This paper cites Comput.54, 2 (2025), 193–232.

A law of robustness for two-layer neural networks with arbitrary weights Comput.54, 2 (2025), 193–232

Reference 8

Resolution
metadata mismatch
doi, observed 2026-07-10T18:27:31.264164Z

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=2026-07-10T18:18:29.599481Z digest=sha256:5d02586b9c57dc2664b6e8290029d78d6bd1a0b1426e6e56b3d9f398a65ac209

Observation 8b34a680-0d56-4bf8-b6d6-90f70c63393d · outbound

This paper cites an unresolved cited work.

A law of robustness for two-layer neural networks with arbitrary weights Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-07-10T18:27:31.262124Z

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=2026-07-10T18:18:29.599481Z digest=sha256:7baebc04fbda2f07c8e70b77842792a6d4d04889720bfc8021ad7d8b0330f264

Observation 8cdd12f7-4c08-42ee-9f95-e297fd3c2e75 · outbound

This paper cites Understanding Deep Neural Networks with Rectified Linear Units.

A law of robustness for two-layer neural networks with arbitrary weights Understanding Deep Neural Networks with Rectified Linear Units

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-07-10T18:27:31.884412Z

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=2026-07-10T18:18:29.599481Z digest=sha256:28a8b0437590c568b07a5b30a2f4275cb32e568866fb4a35d35f3134d748c8b6

Observation b490027e-55a1-472e-946b-f91bee075eca · outbound

This paper cites Atkinson and W.

A law of robustness for two-layer neural networks with arbitrary weights Atkinson and W

Reference 11

Resolution
verified exact
doi, observed 2026-07-10T18:27:31.267712Z

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=2026-07-10T18:18:29.599481Z digest=sha256:42643dd35c1c8597726bc1a5f1025eb9a5cb88918c669c4014864d55dbdd8e28

Observation 8bc78d2f-1936-4fa1-bea5-8bfac97ba590 · outbound

This paper cites Ledoux and M.

A law of robustness for two-layer neural networks with arbitrary weights Ledoux and M

Reference 12

Resolution
verified exact
doi, observed 2026-07-10T18:27:31.265952Z

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=2026-07-10T18:18:29.599481Z digest=sha256:dbe1208acfebfde8868b8b8173201cc9018ab5aa3a219b31e87e0179a3370190

Observation 5933af56-9911-4938-ba3e-a0ebf6463787 · outbound

This paper cites McDiarmid,On the method of bounded differences, inSurveys in Combinatorics, 1989(Norwich, 1989), London Math.

A law of robustness for two-layer neural networks with arbitrary weights McDiarmid,On the method of bounded differences, inSurveys in Combinatorics, 1989(Norwich, 1989), London Math

Reference 13

Resolution
verified exact
doi, observed 2026-07-10T18:27:31.274679Z

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=2026-07-10T18:18:29.599481Z digest=sha256:997875ef5a904b823413d9d66165afca94dd8adb9851972310101eb871854a80

Observation 65075eeb-e347-4f84-af61-02150322ef93 · outbound

This paper cites an unresolved cited work.

A law of robustness for two-layer neural networks with arbitrary weights Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-10T18:37:31.862636Z

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=2026-07-10T18:18:29.599481Z digest=sha256:33c989df87bd6f8817d2d60f4151ff795989596575900eb6b69597a1d977b9c0

Observation e5adfbef-1e69-4f37-b469-ce45e76dfb38 · outbound

This paper cites Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, Jerusalem, Israel Email address:yitzchak.shmalo@gmail.com.

A law of robustness for two-layer neural networks with arbitrary weights Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, Jerusalem, Israel Email address:yitzchak.shmalo@gmail.com

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T18:37:31.870175Z

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=2026-07-10T18:18:29.599481Z digest=sha256:07f2b69ed54d3c71074d29cf82c31221050f171567b9c5543349b922fc1bdc44

Pith citing papers

No inbound Pith citation observations are available.