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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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.560774Z digest=sha256:47f3c544c86c54fbbcb945b738b21e64a0ea7c365dd340459bf53faec45c9ef0

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.566940Z digest=sha256:46a666e3d57580b699aa982a1fa1b29a83dbcfc4e0f0b5785c9315105c788b42

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.572401Z digest=sha256:64623350d20ec47218d8bd4a2f87c459f2c9a59e0066f117d1f082c66a794cb6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.577197Z digest=sha256:8709238cdafe713061843135a4199001bae66a60bf14299f144b9581ae82b7da

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.586718Z digest=sha256:abb0d13f223e0b64b6b7a3ee86e7231e8f699c4d90aaf90d861fc25540f68fc8

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.591540Z digest=sha256:c1697b7156c0233b4fd978f7120c8991037032c22fc5f1e10d51fac7af6bffa8

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.596635Z digest=sha256:66bfc88f1f3865a0498cffcf5e4b5535e9809f6f0878871a12cabaa590c6cf4c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.601903Z digest=sha256:6175b8600c4d060f716043a62c3358f64399f269d96770e7560faeaf59324b26

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.610686Z digest=sha256:6a7157790f1f09e84e7b99183edeb76980a32f7b8ac0256e59d47792888a89ae

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.615133Z digest=sha256:a2a66fbc62e67090040ef0160f02abbf03f7d55010ed25f2bac201cad5efad72

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.620477Z digest=sha256:2fc695ebb68f43e1e807160b555e6af119d76444d4a33fa9bd85c0f7fd6c263c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.630026Z digest=sha256:25e29a00c690fae664590c3a4abc9cd272cb6f422f3ca0612442346799a6c60b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.635130Z digest=sha256:3d869efd223e9e995d4a331accb976b1fc30921454d16430191143d2573faa6a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.639454Z digest=sha256:f6a0696d5d097a00b29e5c208ce842ce35fd9945ea55a3611a44e97b71e9f2ed

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.644509Z digest=sha256:34cde14f43fd8f33262c05653f1ac86b18a00092a658403048193f03b188783a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.649602Z digest=sha256:72b06dffc828f4d548c35f69cf6f38a70364d105dded294ad231ab7dbeb83630

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.654668Z digest=sha256:eef37140f69ec250250def0a976860de1b0ddb6d5a6d95695e839aeb9447c92e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.606425Z digest=sha256:68b444154342d71627c87183134a1c15fa1fccb5dfe95cbc1e4c23104c8bf963

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.581621Z digest=sha256:095a59d116ed8e3f4ca9b5eacd2974f31f7eea6a790e072706d4ff4c403047a0

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:56:33.625306Z digest=sha256:ce5df85797af5ff477bf729c5b5889933944270c53113b910c1d61b3f1ab039a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T18:22:13.794435Z digest=sha256:5e387ea4e4375fa786ea9d1a2dfb7e795af1c58f0d8de6e76337f1175468b9e2