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Paper Citation Record · LEDGER

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation

As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2412.16006.

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

pith.paper-citation-record.v1
2412.16006 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:56:33.654668Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:22:13.794435Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:22:13.916522Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c71b6fc-84d1-4298-b46c-548935d9a8ed · outbound

This paper cites MAD-NG’s Reference Manual.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation MAD-NG’s Reference Manual

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:34.003566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.560774Z digest=sha256:8911475922e62169860a157f9a061c1a6f3587ce56c65bfb7f50056442c9428d

Observation 92206da9-d5fc-476d-8c82-e40e99913747 · outbound

This paper cites DeniauMAD-NG Source Repository, https://github.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation DeniauMAD-NG Source Repository, https://github

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:33.987106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.566940Z digest=sha256:71a8d84e3925cf6ca1bcc480e775a19eb018e48897694978b96a84c7183d5e3a

Observation 534dcc23-ef8f-44aa-b15f-66607ad5aac8 · outbound

This paper cites The MAD program version 8.10 ; user’s reference manual.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation The MAD program version 8.10 ; user’s reference manual

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:33.970963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.572401Z digest=sha256:379002cf965d5a48b87c8d25642bf646d0c82a371977a44b370ae332951c60d4

Observation b9d5d79e-c1ab-4432-a1d1-0c28f1f1f3cd · outbound

This paper cites MAD-X : An Upgrade from MAD8.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation MAD-X : An Upgrade from MAD8

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:33.954227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.577197Z digest=sha256:e36e06574d412ccc952491bc6d1835d4ca26194512a4e3cf094254a1a5ad22e2

Observation 33e2603a-1f38-434d-b1bf-198a9b0ab40b · outbound

This paper cites an unresolved cited work.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:56:33.920859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.586718Z digest=sha256:b7f2740b776f7048e26e84ea6d44b013af83e4428e2cf0f44b548eb23bef45f4

Observation 81f03855-bb9e-4fa0-b7d8-6349c92cbae5 · outbound

This paper cites an unresolved cited work.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:56:33.905558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.591540Z digest=sha256:655a68d2f6259e768807c6839ef71f66f60f5510e736fbc936bcb84e9071f9b9

Observation a4cce7e9-7f88-41d2-843b-806da8ae50e0 · outbound

This paper cites an unresolved cited work.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:56:33.888700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.596635Z digest=sha256:6d718233813ecc9b11c1fdcf6955b4bd15346a06a9605ca6346893435f6fdca7

Observation 8df5b8c3-26c5-4029-ae21-a398f792cb1b · outbound

This paper cites Introduction to the Polymorphic Tracking Code: Fibre Bundles, Polymorphic Taylor Types and Exact Tracking.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Introduction to the Polymorphic Tracking Code: Fibre Bundles, Polymorphic Taylor Types and Exact Tracking

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:33.871058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.601903Z digest=sha256:bc17cc1db2ef7f9d9c5264ce7756d28448daf64d356f5b010fbe36573b0c68d5

Observation 8ad8e244-88e8-41c7-b5cb-e5b88f37b847 · outbound

This paper cites From Tracking Code to Analysis, Gener- alised Courant-Snyder Theory for any Accelerator Models.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation From Tracking Code to Analysis, Gener- alised Courant-Snyder Theory for any Accelerator Models

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:33.839959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.610686Z digest=sha256:2761b2b74e65b6788981df857628d392a23a28c23bec2b6277fd7676bc95c0b1

Observation a71d9cb9-201f-4c30-bbda-960f192f1f4a · outbound

This paper cites MAD Version 9.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation MAD Version 9

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:33.824163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.615133Z digest=sha256:58f2cbe664107eae9a4bdcc5d8a6a74b4838571511968c1b03b0a8fba86af439

Observation 66f833b1-2ceb-46c2-96da-5a952491cfe2 · outbound

This paper cites MAD-X PTC Integration.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation MAD-X PTC Integration

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:33.808940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.620477Z digest=sha256:e00ac1dc808df949347b3f1f5855c196f6b21cbb042cc7ae14cf7a660f4569a7

Observation cc7fdbd6-7cff-403f-9b86-f25f675112fd · outbound

This paper cites an unresolved cited work.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:56:33.774635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.630026Z digest=sha256:77aa171c4e07172557e80940584805a2290e8f871d70c94fa10dc2d540f99607

Observation d4c00c95-a61c-4e03-a386-2436f0b26f97 · outbound

This paper cites an unresolved cited work.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:56:33.755752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.635130Z digest=sha256:2f3f2c88e3665dd023eea97170721b557db992850ab40586448743ecd1338563

Observation ad297f20-35c2-4aba-b4bb-b07ccd742a79 · outbound

This paper cites PyMAD-NG: a Python interface to MAD- NG.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation PyMAD-NG: a Python interface to MAD- NG

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:33.739015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.639454Z digest=sha256:a736a12dd1cecb90b1016beae4d650a91495aeb3784903465e3cf64c1d20f164

Observation cb193138-6c81-4446-b5cc-1371e93f2952 · outbound

This paper cites Generalised Truncated Power Series Algebra For Fast Particle Accelerator Transport Maps.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Generalised Truncated Power Series Algebra For Fast Particle Accelerator Transport Maps

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:33.722352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.644509Z digest=sha256:336685947a7420dd7c155ede3bfc40176293fb45fc2777aafa80cb6f7db7f74f

Observation 48885cfd-7ded-4b9d-a1e5-4ece32d5788a · outbound

This paper cites Normal Form Methods for Complicated Pe- riodicSystemsusingDifferentialAlgebraandLieOperators.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Normal Form Methods for Complicated Pe- riodicSystemsusingDifferentialAlgebraandLieOperators

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:33.706275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.649602Z digest=sha256:0c413d309792147f9ae3489e03af94625b9e5bdbd328f7e9c3db3eb133ddfb03

Observation 43bcc5ae-c483-4472-85b8-65b8ce4f8dd8 · outbound

This paper cites Optics for Landau damping with mini- mized octupolar resonances in the LHC.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Optics for Landau damping with mini- mized octupolar resonances in the LHC

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:56:33.688760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.654668Z digest=sha256:cf9ded67fe8c4e9db3c8603412d22dca2ac040f593232352dcecd8b42a437985

Observation 7ed2a15b-8064-4830-98f9-2cb16df54fd3 · outbound

This paper cites an unresolved cited work.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Unresolved cited work

Reference 2002

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:56:33.855610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.606425Z digest=sha256:9fe2d17bcbbab4735c2e309da99d01ad2de326c34e4db6a76246c1d34878cb10

Observation c3bdb498-eee6-41f3-aaf5-45988628da1a · outbound

This paper cites an unresolved cited work.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Unresolved cited work

Reference 2003

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:56:33.938240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.581621Z digest=sha256:4c5b09e388fddd88f7ffafbdfd9f7b86d994533220620cb6daaa88a86be22f81

Observation ac597c46-edc8-4e66-917d-a3ebb3fd02fd · outbound

This paper cites an unresolved cited work.

MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation Unresolved cited work

Reference 2005

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:56:33.791580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:56:33.625306Z digest=sha256:fd959967237c99157fcac91bf8917e48e88856a3606d34422e57b2df82c1639f

Pith citing papers

Observation 39a6dbfd-aaee-450f-8365-e9e8dfc4ae00 · inbound

Differentiable simulations for particle tracking in accelerators: analysis, benchmarking and optimization cites this paper.

Differentiable simulations for particle tracking in accelerators: analysis, benchmarking and optimization MAD-NG, a standalone multiplatform tool for linear and non-linear optics design and optimisation

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:22:13.924586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:22:13.794435Z digest=sha256:63e1ab89afa1fecdb63b24634f0ce0d2e724a77e4e15445b053bb9917b88a006