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Paper Citation Record · LEDGER

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

As of 7 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:09cb7e1b6217d67a14c2b5b661ca0b5cef1b3e5a42006c373fc62e67d23ffff3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:581fb9ee66eb537e1eee929b5cb665cff8ef887a243aa5230313a627a7cdb21e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:279d964abfccc5e845f630074741387e0a2ed62e0fbb9019d180aa2f33485e51

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:ae7e41e4b5377a6e86cf95b752ea282dcd06a9d4e664b4a17d1e0d99698214d8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:d095528803daab7d40eeb6feda496b3968e55eb518efcd6ebd9f06397301429d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:b28acb15bb195f67b7bc2c1c5263508a9b962b045fd4f754a9c4afc40a202405

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:be9ec69ea8285460afbda035589ffaaf0cbcff5fd538e801145439a6d8180217

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:620a6f70abddf774c5be98fb58a988b623973ed7241add606be2d041c3dc653d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:a03043601bbf1fc5bbb17e7a499b12f47ec3703837f6a114fff0e40f3018c93b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:9e8b4a11578300bc11b5f49ecd50da053f40a87c360bf811c525e9bcc2e65b09

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:b13d45bfaf616a00df8fe2c8257be1bc8917e0ea4233c8495f300967f1732324

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:9979ebfc8e5edb08df9d461f935fcab7ae25e5779f87c65bfc0d2ab97153457f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:64629eec79c6e8e38d4d3807db8e877b4c4b5b935ff66145d68bb092f68c137b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:911d27329ae525bef98b425d6335fce178eaa9cdcadf6963edee250e55efc748

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T18:18:29.599481Z digest=sha256:8e493e7330796aba55d3bc7e167c90379a4cab78ba059007006c994089b76078

Pith citing papers

No inbound Pith citation observations are available.