Paper Citation Record · LEDGER

Gradients of unitary optical neural networks using parameter-shift rule

As of 22 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.11565.

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

pith.paper-citation-record.v1
2506.11565 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:07:48.825382Z

measured 20 of 20 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 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

20 of 20 outbound references displayed

verified exact13
verified fuzzy0
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 11022816-05db-4c15-b2c2-8048334fd5b7 · outbound

This paper cites Svetlana N.

Gradients of unitary optical neural networks using parameter-shift rule Svetlana N

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.984490Z

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.

Observation e4cfeda9-743b-4ec4-8c03-541013328471 · outbound

This paper cites URLhttps://www.mdpi.com/2079-4991/14/8/697.

Gradients of unitary optical neural networks using parameter-shift rule URLhttps://www.mdpi.com/2079-4991/14/8/697

Reference 5

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.975113Z

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.

Observation d4f1ccc1-a55a-46cc-9a72-3afe2cf1886b · outbound

This paper cites an unresolved cited work.

Gradients of unitary optical neural networks using parameter-shift rule Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.965505Z

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.

Observation f69fea72-18ea-420b-97da-f90c0ae6e205 · outbound

This paper cites an unresolved cited work.

Gradients of unitary optical neural networks using parameter-shift rule Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.956797Z

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.

Observation f386d986-2ee9-49b3-90d5-a5a40de7e1f0 · outbound

This paper cites URL https://doi.org/10.1117/1.AP.

Gradients of unitary optical neural networks using parameter-shift rule URL https://doi.org/10.1117/1.AP

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T04:07:48.787252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26381250-a677-49fa-b736-dae5f5a892df · outbound

This paper cites URL https://doi.org/10.1117/1.AP.

Gradients of unitary optical neural networks using parameter-shift rule URL https://doi.org/10.1117/1.AP

Reference 9

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.941295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T19:38:15.558142+00:00.

Observation da472912-1cbb-4861-9099-fffff0de71b2 · outbound

This paper cites Giorgio Facelli.

Gradients of unitary optical neural networks using parameter-shift rule Giorgio Facelli

Reference 14

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.902339Z

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.

Observation c31125fa-2a2d-40cd-82c8-d326e16c2651 · outbound

This paper cites Ryan Hamerly, Saumil Bandyopadhyay, and Dirk Englund.

Gradients of unitary optical neural networks using parameter-shift rule Ryan Hamerly, Saumil Bandyopadhyay, and Dirk Englund

Reference 16

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.882125Z

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.

Observation b6c2a122-09cb-4a93-bd13-22b62d90f1e4 · outbound

This paper cites URLhttps://doi.org/10.1063/5.0053421.

Gradients of unitary optical neural networks using parameter-shift rule URLhttps://doi.org/10.1063/5.0053421

Reference 18

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.862015Z

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.

Observation c3987165-b392-4fd1-94d9-37a2dc5dc09a · outbound

This paper cites Mingfeng Li.

Gradients of unitary optical neural networks using parameter-shift rule Mingfeng Li

Reference 1986

Resolution: unresolved; no resolver link, observed 2026-08-07T04:07:48.764095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b24dcaaf-db3f-4e96-ac15-c24d569ccf01 · outbound

This paper cites William R Clements, Peter C Humphreys, Benjamin J Metcalf, Kolthammer W Steven, and Ian A Walmsley.

Gradients of unitary optical neural networks using parameter-shift rule William R Clements, Peter C Humphreys, Benjamin J Metcalf, Kolthammer W Steven, and Ian A Walmsley

Reference 1994

Resolution: unresolved; no resolver link, observed 2026-08-07T04:07:48.821888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2251b5ab-c488-406e-b78f-87d208fd0cb9 · outbound

This paper cites An Optimal Design for Universal Multiport Interferometers.

Gradients of unitary optical neural networks using parameter-shift rule An Optimal Design for Universal Multiport Interferometers

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-07T04:07:48.825382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05e6f929-b1dd-4f9b-8dab-7fe596bd898c · outbound

This paper cites URL https://www.nature.com/articles/ nphoton.2017.93.

Gradients of unitary optical neural networks using parameter-shift rule URL https://www.nature.com/articles/ nphoton.2017.93

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-07T04:07:48.796240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67d2eb6e-517e-4039-ba6b-ef3aabf7ba01 · outbound

This paper cites Yichen Shen, Nicholas C.

Gradients of unitary optical neural networks using parameter-shift rule Yichen Shen, Nicholas C

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-07T04:07:48.793240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b58b001-c8d2-4ae4-a2ed-3ba998d340ff · outbound

This paper cites Liubov Markovich, Savvas Malikis, Stefano Polla, and Jordi Tura.

Gradients of unitary optical neural networks using parameter-shift rule Liubov Markovich, Savvas Malikis, Stefano Polla, and Jordi Tura

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-07T04:07:48.802798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f0f798f-e831-4a20-81d1-76af8c4418f0 · outbound

This paper cites Zhang Ye, Wang Ruiting, Zhang Yejin, Su Yanmei, Wang Pengfei, Luo Guangzhen, Zhou Xuliang, and Pan Jiaoqing.

Gradients of unitary optical neural networks using parameter-shift rule Zhang Ye, Wang Ruiting, Zhang Yejin, Su Yanmei, Wang Pengfei, Luo Guangzhen, Zhou Xuliang, and Pan Jiaoqing

Reference 2021

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.892408Z

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.

Observation ca19351b-d6b3-46c4-89be-e26fd8892afa · outbound

This paper cites an unresolved cited work.

Gradients of unitary optical neural networks using parameter-shift rule Unresolved cited work

Reference 2022

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.871813Z

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.

Observation db16577e-2909-4f6e-b609-6ec166fef15f · outbound

This paper cites Gordon Wetzstein, Aydogan Ozcan, Sylvain Gigan, Shanhui Fan, Dirk Englund, Marin Soljaˇci´c, Cornelia Denz, David A.

Gradients of unitary optical neural networks using parameter-shift rule Gordon Wetzstein, Aydogan Ozcan, Sylvain Gigan, Shanhui Fan, Dirk Englund, Marin Soljaˇci´c, Cornelia Denz, David A

Reference 2023

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.919445Z

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.

Observation 187bac85-ae71-45c2-a1c3-6a6ae04a9101 · outbound

This paper cites Hanieh Masoudian Saadabad, Lingraj Kumar, Reza Masoudian Saadabad, and Maja Colautti.

Gradients of unitary optical neural networks using parameter-shift rule Hanieh Masoudian Saadabad, Lingraj Kumar, Reza Masoudian Saadabad, and Maja Colautti

Reference 2024

Resolution: verified exact; doi, observed 2026-08-07T04:07:48.994219Z

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.

Observation a12d3fc6-6135-47f6-b236-60be66aaeff2 · outbound

This paper cites Apostolos Tsakyridis, Miltiadis Moralis-Pegios, George Giamougiannis, Manos Kirtas, Nikolaos Passalis, Anastasios Tefas, and Nikos Pleros.

Gradients of unitary optical neural networks using parameter-shift rule Apostolos Tsakyridis, Miltiadis Moralis-Pegios, George Giamougiannis, Manos Kirtas, Nikolaos Passalis, Anastasios Tefas, and Nikos Pleros

Reference 2025

Resolution: verified exact; raw_fallback, observed 2026-08-07T04:07:49.089436Z

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.

Pith citing papers

No inbound Pith citation observations are available.