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Paper Citation Record · LEDGER

Universality of physical neural networks with multivariate nonlinearity

As of 21 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2509.05420.

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

pith.paper-citation-record.v1
2509.05420 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:17:09.864162Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-21T19:32:33.621988Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T19:34:20.126755Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact0
  • verified fuzzy23
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4206d12-76e8-442f-aa1a-227d692f49cf · outbound

This paper cites de Vries ,\ title title The growing energy footprint of artificial intelligence ,\ @noop journal journal Joule \ volume 7 ,\ pages 2191 ( year 2023 ) NoStop.

Universality of physical neural networks with multivariate nonlinearity de Vries ,\ title title The growing energy footprint of artificial intelligence ,\ @noop journal journal Joule \ volume 7 ,\ pages 2191 ( year 2023 ) NoStop

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.384360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 39086290-69d6-4ef5-add2-b3ecc033adc3 · outbound

This paper cites Marković , author A.

Universality of physical neural networks with multivariate nonlinearity Marković , author A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.366896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 9d68566d-c89e-47f6-a1db-bf90d2fa2c24 · outbound

This paper cites Wetzstein , author A.

Universality of physical neural networks with multivariate nonlinearity Wetzstein , author A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.350437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.723488Z digest=sha256:4959283f0c8f2b8d5ce37a0c3e0f9317d212d3aa92bb453a868f30265e92f041

Observation e70570f3-4955-4f5b-a34a-9f96f5f19710 · outbound

This paper cites an unresolved cited work.

Universality of physical neural networks with multivariate nonlinearity Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:17:10.334141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 7519c463-f5bc-4f73-b44d-f2d1cb208f84 · outbound

This paper cites Training of Physical Neural Networks.

Universality of physical neural networks with multivariate nonlinearity Training of Physical Neural Networks

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-05T05:17:09.734647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T05:17:09.734647Z digest=sha256:455ccfac4f57cb27e9c61a534e77cb1dc9cb8b3e072aec893e57ae31577662d6

Observation 6f94d2a6-d07b-43a0-98e9-005fdbc1ac2e · outbound

This paper cites Psaltis \ and\ author N.

Universality of physical neural networks with multivariate nonlinearity Psaltis \ and\ author N

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.316996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.740489Z digest=sha256:f4b4d43b7b1c26153dcc8a4cfe6fbda9a532e62e91f13b2a109e0158e4001334

Observation 674166d0-4fd1-4c8a-8454-a09ac013e0be · outbound

This paper cites Lin , author Y.

Universality of physical neural networks with multivariate nonlinearity Lin , author Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.302597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.746144Z digest=sha256:8ace63d7351a06dcccb8097c0156e2c517b3a69a43e6766c483d1cba16a6a5d3

Observation 237b5ccc-8e46-4422-86a4-c6b900c85cb2 · outbound

This paper cites an unresolved cited work.

Universality of physical neural networks with multivariate nonlinearity Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:17:10.288051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.750735Z digest=sha256:e20a36dd62b3c7a58d778dfa4316d76f86bada9a5baba3c633576a91cac52b00

Observation 19659fa7-3501-42f2-a762-5f9b39508a72 · outbound

This paper cites an unresolved cited work.

Universality of physical neural networks with multivariate nonlinearity Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:17:10.273619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.755201Z digest=sha256:2de94a630998d5ab6fd71f68faf4bb8c9df51de33fff1029a4ce96a4c1f8e3fc

Observation 7cdf5815-c7fd-4e5c-bc3c-715ee73e9983 · outbound

This paper cites Eliezer , author U.

Universality of physical neural networks with multivariate nonlinearity Eliezer , author U

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.259385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.759710Z digest=sha256:623ce6f0b46d0c0a98c0c9ae1ce2105a0a170f32b011eabf7dbb66e98ad58824

Observation 6ef85fd8-ec63-4f9e-9db2-ea45fb0cf4da · outbound

This paper cites an unresolved cited work.

Universality of physical neural networks with multivariate nonlinearity Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:17:10.243798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.764424Z digest=sha256:d23b11507132e2bd42754277820cd3275d2fb6c7242aac00621641de52401163

Observation d0320576-74b5-46cc-8e25-102afa122bc3 · outbound

This paper cites Xia , author K.

Universality of physical neural networks with multivariate nonlinearity Xia , author K

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.229721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.768939Z digest=sha256:773ec731bb725a9d7babe4cb7b7e0d7d5981307e7cc3cd7241d161ace3c31246

Observation 6c7fca51-0837-4f23-abc3-5f86b7b9ab90 · outbound

This paper cites Yildirim , author N.

Universality of physical neural networks with multivariate nonlinearity Yildirim , author N

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.215054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.774554Z digest=sha256:7a9143f9d39f6f44aa851348ab2720fc5c9124d24dbd916955ac1986ee0331a8

Observation a82dd7f6-83c7-4f56-b713-e396291e21ea · outbound

This paper cites Hornik , author M.

Universality of physical neural networks with multivariate nonlinearity Hornik , author M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.200246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.779542Z digest=sha256:0ef0141fbf79784722c1d22184e5a41b17e179762c2711b86916673f9627bb6c

Observation 0494aa59-6c4e-4815-8fb2-a89e3428ceb4 · outbound

This paper cites an unresolved cited work.

Universality of physical neural networks with multivariate nonlinearity Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:17:10.185169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.784398Z digest=sha256:5f86268f622285c8d6a40b9020f8e76ef48655b2be119389d06eaff7999ae4f9

Observation 6a1c45d7-364e-4c5e-b14a-61f44282d38c · outbound

This paper cites Athale \ and\ author D.

Universality of physical neural networks with multivariate nonlinearity Athale \ and\ author D

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.169489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.788977Z digest=sha256:515504d6510d41bc3ee22f3b56a0b2d457cd0aeaf85e87011664175f315bd0a6

Observation 0609e594-fd67-4a18-adb2-4ab6a10b7f16 · outbound

This paper cites Silva , author F.

Universality of physical neural networks with multivariate nonlinearity Silva , author F

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.153973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.793796Z digest=sha256:cbe7f65ce9aa96d1b726df3c1913f3212fcce9c0bb5a32e77d49c81ca1065bb1

Observation 7142d9ec-030d-4a55-b556-e27e999db67c · outbound

This paper cites Cordaro , author H.

Universality of physical neural networks with multivariate nonlinearity Cordaro , author H

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.139693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.798503Z digest=sha256:a70ce44a547a88b6f222992123aef284063904e29e46f77d25dd2d832f5f24ec

Observation e2101b93-e0f5-4afa-9f23-8d87f3c151a4 · outbound

This paper cites Zangeneh-Nejad , author D.

Universality of physical neural networks with multivariate nonlinearity Zangeneh-Nejad , author D

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.124858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 7eeb3a88-b8cc-4ad9-abd5-e546e2d7c9aa · outbound

This paper cites Mohammadi Estakhri , author B.

Universality of physical neural networks with multivariate nonlinearity Mohammadi Estakhri , author B

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.111070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.807365Z digest=sha256:95cda63e273507dcc1acca361b50805e1b0ad38c5b6c8b8f06b7ee19a8cbf554

Observation 9c5aaff8-f0c0-4fd6-815c-acfc20adaf3d · outbound

This paper cites Cordaro , author B.

Universality of physical neural networks with multivariate nonlinearity Cordaro , author B

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.095681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.812273Z digest=sha256:150a5665434b43a27d1f351cd5977c3794afce3ad0a9fcafdd3bd03449f9fb6a

Observation a4ae7287-07f1-482f-8505-d96c88350a79 · outbound

This paper cites Yang , author L.

Universality of physical neural networks with multivariate nonlinearity Yang , author L

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.080786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.816796Z digest=sha256:0bb8276306c410a9287fd58163b522f453113108cd6bf63759fbd97a529cb7f7

Observation 53828583-20de-455e-ba0a-0869eed59704 · outbound

This paper cites Nikkhah , author A.

Universality of physical neural networks with multivariate nonlinearity Nikkhah , author A

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.064844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.821697Z digest=sha256:6e70af8a33a7809daf01ceccd241538a0b199cf9a0ef41bf217493ca0e05d996

Observation 251cf99b-194a-412e-be31-dfcd61a48fb5 · outbound

This paper cites an unresolved cited work.

Universality of physical neural networks with multivariate nonlinearity Unresolved cited work

Reference 24

Resolution
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raw_fallback, observed 2026-08-05T05:17:10.048467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation c72a08b2-1e6c-4ce2-8333-cc3f912e5372 · outbound

This paper cites Shen , author N.

Universality of physical neural networks with multivariate nonlinearity Shen , author N

Reference 25

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.831329Z digest=sha256:b2a0bcf60a18e29eebcfe55462551a55acb4dcf1be3ff193f2ebff7ff4d9a705

Observation cb19861b-2792-4285-b703-728740acf3c8 · outbound

This paper cites Pai , author Z.

Universality of physical neural networks with multivariate nonlinearity Pai , author Z

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.017378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.836125Z digest=sha256:9a190427530c1fa80a82433cc5fed59b5c928839949508dd24d606f7b87dea54

Observation d86106c7-bb20-4dad-961e-0c061342f64b · outbound

This paper cites Hua , author E.

Universality of physical neural networks with multivariate nonlinearity Hua , author E

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:10.000388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.840501Z digest=sha256:d9ad7cb4d0fef9379874325da686cdfc04780fadb6c562566920dc879e38c707

Observation 8aee66f0-690d-433f-9b01-7e9a2a74996b · outbound

This paper cites Yu , author Z.

Universality of physical neural networks with multivariate nonlinearity Yu , author Z

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:09.984150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 0fc1ebb3-32eb-43c1-934c-9cab98c34854 · outbound

This paper cites Bandyopadhyay , author A.

Universality of physical neural networks with multivariate nonlinearity Bandyopadhyay , author A

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:09.968486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.849824Z digest=sha256:2fa78625b57f95f7f188bec0beee15b85a31662014249a4cfeb22ec2165c80f3

Observation ff868291-068f-4985-9b88-6285b97a37ab · outbound

This paper cites LeCun , author L.

Universality of physical neural networks with multivariate nonlinearity LeCun , author L

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:17:09.952467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.854434Z digest=sha256:9faae8658d6fe771d1d6ce4cc8c61f3fa1aeaa796fbe2350eb4eca88e0ea45a2

Observation 3331ff13-aa27-44f3-9085-8ef1bc1dca07 · outbound

This paper cites Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms.

Universality of physical neural networks with multivariate nonlinearity Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-05T05:17:09.859247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T05:17:09.859247Z digest=sha256:73a975c5e3890fe900e1621a2bdcb15e5c66cf0bf7888ceb0ad6e4f57e05ca5b

Observation a8927473-3525-418b-872e-3c6e20f35346 · outbound

This paper cites an unresolved cited work.

Universality of physical neural networks with multivariate nonlinearity Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:17:09.936080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T05:17:09.864162Z digest=sha256:d912da3a3c0678c48f9f77a651ffdc37248fffe2ab03b147d3704c48c4f5f08e

Pith citing papers

Observation fba75295-2740-465c-a530-458b79bf4071 · inbound

Tutorial: A practical guide to the alignment of defocused spatial light modulators for fast diffractive neural networks cites this paper.

Tutorial: A practical guide to the alignment of defocused spatial light modulators for fast diffractive neural networks Universality of physical neural networks with multivariate nonlinearity

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-21T19:34:20.129142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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