Paper Citation Record · LEDGER

Understanding Two-Layer Neural Networks with Smooth Activation Functions

As of 19 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2507.14177.

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

pith.paper-citation-record.v1
2507.14177 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:30:32.553553Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

30 of 30 outbound references displayed

verified exact0
verified fuzzy9
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1fb772f2-ba22-43a7-8351-cc5bd9cab5b5 · outbound

This paper cites M., Lopez-de-Teruel, P.

Understanding Two-Layer Neural Networks with Smooth Activation Functions M., Lopez-de-Teruel, P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:30:32.794559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d4a84d60-ded8-49f1-85df-995d145f775e · outbound

This paper cites A., & Bonaiuto, J.

Understanding Two-Layer Neural Networks with Smooth Activation Functions A., & Bonaiuto, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:30:32.786868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bceffb44-3e38-4a5c-927d-9fbe44166126 · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.778785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5cdfe736-b711-45ec-a5bb-728422a4290b · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.770862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation eef46734-4a39-4d6a-b80d-6c78d9e35f92 · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.763401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 18451998-d84d-4327-b544-8c2898bbcf4b · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.756578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d90aa17a-1a37-4051-b003-b20ead2c0373 · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.748561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 13f38173-f5ef-4bec-be4b-3608d625e19b · outbound

This paper cites K., & Wang, R.

Understanding Two-Layer Neural Networks with Smooth Activation Functions K., & Wang, R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:30:32.741211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 146f6113-a61a-4f6c-85b8-222245492233 · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.732766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ef8fd930-9d6d-4291-b367-0561f26dbcda · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.725984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8c8a4f4b-98a9-4432-8fde-e66d656bd0f7 · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.719334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6383565c-cdf7-40cb-bb71-51dd5892f921 · outbound

This paper cites J., & Ismailov, V.

Understanding Two-Layer Neural Networks with Smooth Activation Functions J., & Ismailov, V

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:30:32.711615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 24a2efcd-e5e5-4b20-8f94-bbf38b059e5a · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.704036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3a827ebe-ab0e-4584-b46e-9b3ab212584f · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.697148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fb794574-7460-4294-9972-1a15990fa623 · outbound

This paper cites E., & Salakhutdinov, R.

Understanding Two-Layer Neural Networks with Smooth Activation Functions E., & Salakhutdinov, R

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:30:32.689551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7d2611a8-a6b2-4226-8039-d9af5887dce2 · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.681626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5b1e54c1-cb07-4f37-be31-ccd7f85c89ca · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.674685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 255db283-4ba4-4e91-8d50-43b8d4454519 · outbound

This paper cites On the Principles of ReLU Networks with One Hidden Layer.

Understanding Two-Layer Neural Networks with Smooth Activation Functions On the Principles of ReLU Networks with One Hidden Layer

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T18:30:32.517561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9415785f-d2a7-40c8-9407-555778fdf6f2 · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.667701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d528f465-731a-47f2-b43b-413b5b2b7b8d · outbound

This paper cites R., Koester, J.

Understanding Two-Layer Neural Networks with Smooth Activation Functions R., Koester, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:30:32.660211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c36982d2-b0fb-478a-aaf0-27bebb938c0f · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.652031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 225fa931-7b8b-4a16-b0e1-22123da9d3e8 · outbound

This paper cites Y., Pinkus, A., & Schocken, S.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Y., Pinkus, A., & Schocken, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:30:32.644212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e7bf4542-25a5-43ef-aca6-ca8b8268df08 · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.635710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d815b2c6-9a9a-4ebb-b58a-7840db35717b · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.626938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e2f0f3de-5bbc-40d0-8a67-74ac7a98ebbb · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.618968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0a17feb3-5f44-48d0-b8ad-d3908feaa84c · outbound

This paper cites E., Hinton, G.

Understanding Two-Layer Neural Networks with Smooth Activation Functions E., Hinton, G

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T18:30:32.541358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b717098-bb5a-4def-ad4c-bb9ce0f1ab5e · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.607600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 353b50d9-58c0-4887-92a7-8f550e69a445 · outbound

This paper cites & White, H.

Understanding Two-Layer Neural Networks with Smooth Activation Functions & White, H

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:30:32.600113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0a74596b-a279-4b69-8a74-7a88bae364c9 · outbound

This paper cites an unresolved cited work.

Understanding Two-Layer Neural Networks with Smooth Activation Functions Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:30:32.591641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 93d27dc6-b02a-436c-aba5-8064f319cf87 · outbound

This paper cites B., & Cao, F.

Understanding Two-Layer Neural Networks with Smooth Activation Functions B., & Cao, F

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:30:32.582468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.