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Paper Citation Record · LEDGER

Forward-Mode Differentiation of Maxwell's Equations

As of 22 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.10507.

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

pith.paper-citation-record.v1
1908.10507 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:47:44.601182Z

measured 28 of 28 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

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved14
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 41adc2e0-9d82-450b-aeb6-78ccff9dab86 · outbound

This paper cites an unresolved cited work.

Forward-Mode Differentiation of Maxwell's Equations Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:47:44.970442Z

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 b594b6f6-ec80-4adc-a11d-b293d70f30a5 · outbound

This paper cites If the usual case that the system obeys Lorentz reciprocity, then these quantities are symmetric, in which case the adjoint system is the same as the original system.

Forward-Mode Differentiation of Maxwell's Equations If the usual case that the system obeys Lorentz reciprocity, then these quantities are symmetric, in which case the adjoint system is the same as the original system

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.959530Z

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 3e59a668-e1b1-4257-9220-110e090bb417 · outbound

This paper cites CLjTTfSnbE5vpj5vSsQpgU33D0k=.

Forward-Mode Differentiation of Maxwell's Equations CLjTTfSnbE5vpj5vSsQpgU33D0k=

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.948291Z

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 1ac6c2bc-1b89-476e-a9c2-cbf3ae24f0d8 · outbound

This paper cites Molesky, Z.

Forward-Mode Differentiation of Maxwell's Equations Molesky, Z

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.936698Z

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 fd0391e6-2d78-46c2-ba18-24f6fd362138 · outbound

This paper cites Sigmund and J.

Forward-Mode Differentiation of Maxwell's Equations Sigmund and J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.924447Z

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=pdf_text observed=2026-08-14T10:47:44.510237Z digest=sha256:d8b41d31c7d707eefb0518a825a323063693c4766ba9b5e468cbb0320a6bc553

Observation 05e370da-d64e-43d8-8118-d99149a39343 · outbound

This paper cites Lu and J.

Forward-Mode Differentiation of Maxwell's Equations Lu and J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.911728Z

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=pdf_text observed=2026-08-14T10:47:44.514110Z digest=sha256:ecfbd9356d286f2245469a0872d5b29b60a8aa25c61ef00b5efa40295d8738c5

Observation b6979547-e827-40aa-a418-8d3bd798a783 · outbound

This paper cites Hughes, G.

Forward-Mode Differentiation of Maxwell's Equations Hughes, G

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.897951Z

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=pdf_text observed=2026-08-14T10:47:44.518142Z digest=sha256:fa2e3f959bfef1cd8dc0b04a3a5bcd0892b9c2ffc59609aa5d5b5e9145dd4090

Observation 8b5acf89-b14c-4f04-bc7f-e6362c9fd427 · outbound

This paper cites an unresolved cited work.

Forward-Mode Differentiation of Maxwell's Equations Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:47:44.885367Z

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=pdf_text observed=2026-08-14T10:47:44.522161Z digest=sha256:51d277b2a476c2c0bd6142d581f3eebdc68b709b82630ce9bfbea2171a649be1

Observation 9d45b247-0c40-4dc3-9e93-9c8066678dc8 · outbound

This paper cites Veronis, R.

Forward-Mode Differentiation of Maxwell's Equations Veronis, R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.873065Z

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=pdf_text observed=2026-08-14T10:47:44.526067Z digest=sha256:1f4d32fa9d7ff52b8cc63bad9102ca3ddb22b4f2c7ef0cee3e55fb2efc108a4c

Observation be56de33-e2f3-42c7-b0db-2e8a07961c11 · outbound

This paper cites Pde-constrained optimization and the adjoint method,.

Forward-Mode Differentiation of Maxwell's Equations Pde-constrained optimization and the adjoint method,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.861628Z

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 89116ff4-2616-4743-9095-df17c3d3ec22 · outbound

This paper cites an unresolved cited work.

Forward-Mode Differentiation of Maxwell's Equations Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:47:44.849716Z

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 65701815-5dfa-4e9c-9734-85603cb6f5ee · outbound

This paper cites an unresolved cited work.

Forward-Mode Differentiation of Maxwell's Equations Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:47:44.837981Z

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=pdf_text observed=2026-08-14T10:47:44.537617Z digest=sha256:cf601f236c032d63a5961ac74d945448137ee2474e10af4f542af6ad50e35ebe

Observation 68c6f727-4110-4ac4-9896-ac78ca35d43e · outbound

This paper cites an unresolved cited work.

Forward-Mode Differentiation of Maxwell's Equations Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:47:44.825904Z

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=pdf_text observed=2026-08-14T10:47:44.541927Z digest=sha256:717eca7326ed75c08f65ea7030444ca7973d12ba858312efb318b99148b66a7e

Observation f77ab092-7de5-4d6f-a6ff-2e7f61c8a976 · outbound

This paper cites A Comparison of Automatic Differentiation and Continuous Sensitivity Analysis for Derivatives of Differential Equation Solutions.

Forward-Mode Differentiation of Maxwell's Equations A Comparison of Automatic Differentiation and Continuous Sensitivity Analysis for Derivatives of Differential Equation Solutions

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T10:47:44.545478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:47:44.545478Z digest=sha256:33042ffacf448e4b0381b13d5621f47fdde2781d3eaa8cca137049f8fc7a3593

Observation 02a379f2-9bf8-4329-aaa8-9d90baa0e22a · outbound

This paper cites an unresolved cited work.

Forward-Mode Differentiation of Maxwell's Equations Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:47:44.813834Z

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=pdf_text observed=2026-08-14T10:47:44.549683Z digest=sha256:a2db5e1a68f0a3b2ccee75e18b4d40562a7db20f6e4ce48ffd7e5744ae02febe

Observation 26cd92bf-ec6a-4324-8558-f367c41becdd · outbound

This paper cites Shin and S.

Forward-Mode Differentiation of Maxwell's Equations Shin and S

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.800703Z

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=pdf_text observed=2026-08-14T10:47:44.553377Z digest=sha256:2b626eb81e9be4a5b6a91c471a6b922a0346b56f4913db9f3c6f41aa3aa95d78

Observation 79a8b72d-6941-4da8-88de-1b44000d1ad8 · outbound

This paper cites an unresolved cited work.

Forward-Mode Differentiation of Maxwell's Equations Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:47:44.788843Z

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=pdf_text observed=2026-08-14T10:47:44.557188Z digest=sha256:17b29ddd20036a31bf6fc8bf62f56138891fe3ffbc80070349f18421ce50ac54

Observation b58c40cf-3326-4ed9-8537-f3f9cc117f20 · outbound

This paper cites an unresolved cited work.

Forward-Mode Differentiation of Maxwell's Equations Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:47:44.776914Z

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=pdf_text observed=2026-08-14T10:47:44.561433Z digest=sha256:3096d44005667bd891b74eaf0b1d048edbb48a7784e0e70a5365c3e5e98a4417

Observation 1740e654-78f5-4888-a3e1-5531e99aa732 · outbound

This paper cites Chrostowski and M.

Forward-Mode Differentiation of Maxwell's Equations Chrostowski and M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.764350Z

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=pdf_text observed=2026-08-14T10:47:44.565038Z digest=sha256:e3809dc1b52de699bea35d69b2e2384c2a9c5eaa1b3011e9fac14507b694b453

Observation d701baf2-80ba-4003-910c-0ed28286c9dc · outbound

This paper cites an unresolved cited work.

Forward-Mode Differentiation of Maxwell's Equations Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:47:44.751801Z

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=pdf_text observed=2026-08-14T10:47:44.568776Z digest=sha256:d5bef5feaa06c24f8c2dfbfe895679882994ae602150f2eb59c0bd1e35f71974

Observation b1b0c952-9ea5-4b4a-abdc-46ede0452158 · outbound

This paper cites Schuld, V.

Forward-Mode Differentiation of Maxwell's Equations Schuld, V

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-14T10:47:44.573338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:47:44.573338Z digest=sha256:68711d2ba6bedc09561eea90658514bc39988b6567889e12a66e64b7ecf934c6

Observation 2f03c172-28f1-47ff-b1e2-0e93c00dfc20 · outbound

This paper cites an unresolved cited work.

Forward-Mode Differentiation of Maxwell's Equations Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:47:44.731931Z

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=pdf_text observed=2026-08-14T10:47:44.577166Z digest=sha256:6ef334d72b28dfcbd0c562a248e19b08e0e11038f87908bac83a3971054794f2

Observation 213be2c3-b843-4f44-a568-b5d87f7d3776 · outbound

This paper cites an unresolved cited work.

Forward-Mode Differentiation of Maxwell's Equations Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:47:44.719151Z

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 ef73ec65-3fe2-464f-b11c-74ce1cec9bd9 · outbound

This paper cites Minkov and V.

Forward-Mode Differentiation of Maxwell's Equations Minkov and V

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.704817Z

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=pdf_text observed=2026-08-14T10:47:44.585709Z digest=sha256:647e8e3d15130b853f424394cd4c5c605dbde18dbddce33579bf9026380a44ae

Observation 2829bf8d-2e22-4733-8991-1a7e6c716c96 · outbound

This paper cites Ceviche: Fdtd and fdfd package with automatic differentiation,.

Forward-Mode Differentiation of Maxwell's Equations Ceviche: Fdtd and fdfd package with automatic differentiation,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.690686Z

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=pdf_text observed=2026-08-14T10:47:44.590237Z digest=sha256:b0e0632ea1fd51ad46cb5ad1c9ad3beaa0933d5614672cc152302b33d5ddf57c

Observation 0831d72e-98c1-4df6-8389-b98126407e1f · outbound

This paper cites Paszke, S.

Forward-Mode Differentiation of Maxwell's Equations Paszke, S

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-14T10:47:44.593779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:47:44.593779Z digest=sha256:990bbbe15c48d2ccfd93340ca4a246fa955dcbe77852a607ad51b8e2443d4ae5

Observation 4866f2a1-303a-471c-acaf-41efcf9ca1b4 · outbound

This paper cites Laporte, J.

Forward-Mode Differentiation of Maxwell's Equations Laporte, J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:47:44.670243Z

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=pdf_text observed=2026-08-14T10:47:44.597436Z digest=sha256:0ca42fbde0b32406d602d2ff3b9e9d5548c8965a7ca8c5ef85ee6887999fa868

Observation 5e06bcdd-85d8-4a00-96d3-06421bacc0f6 · outbound

This paper cites Wave Physics as an Analog Recurrent Neural Network.

Forward-Mode Differentiation of Maxwell's Equations Wave Physics as an Analog Recurrent Neural Network

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:47:44.642292Z

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=pdf_text observed=2026-08-14T10:47:44.601182Z digest=sha256:77799a6fb8b227e0b3cd80a3799edec3f819bd0330e543128e67931f05c8edc3

Pith citing papers

No inbound Pith citation observations are available.