Paper Citation Record · LEDGER

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method

As of 11 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2501.05110.

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

pith.paper-citation-record.v1
2501.05110 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:25:08.935226Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:48:47.400288Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact10
verified fuzzy2
unresolved23
parse uncertain0
malformed identifier5
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ac3acc17-a0db-405e-8977-5bbf37a50f7d · outbound

This paper cites Achterberg, C.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Achterberg, C

Reference 1

Resolution: verified exact; doi, observed 2026-08-10T21:25:09.185730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 907bb853-2d4f-4871-803b-8ec63f6a1c1f · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:25:09.672385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cce0cd67-af99-478a-9ec4-a94ae9f9ea00 · outbound

This paper cites Reville, A.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Reville, A

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.773808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1086e136-be71-4506-8c66-626a59b5846b · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 4

Resolution: verified exact; raw_fallback, observed 2026-08-10T21:25:09.543941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 836edebe-6a3b-44d2-82a6-fc827741e940 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:25:09.660650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c062505c-cc34-4bd9-b08d-909be7b9fefd · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 6

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T21:25:09.647570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7f42d68a-3dc2-47d6-80f6-6f41e1f0ea45 · outbound

This paper cites Skilling, Cosmic ray streaming–i effect of alfv´en waves on particles, MNRAS 172 (3) (1975) 557–566.doi:10.1093/mnras/172.3.557.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Skilling, Cosmic ray streaming–i effect of alfv´en waves on particles, MNRAS 172 (3) (1975) 557–566.doi:10.1093/mnras/172.3.557

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.790876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2af146a7-593e-4697-9305-fd35681bf6e5 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:25:09.633643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f6cc7216-aa1f-47c8-8e5b-56bcc43bc983 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:25:09.620304Z

Source-reported events for the cited work

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Observation 2223e7dc-06d7-4230-9264-9a27acf1e89c · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 10

Resolution: malformed identifier; no resolver link, observed 2026-08-10T21:25:08.807721Z

Source-reported events for the cited work

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Observation 94273cfa-bb5a-4f6d-927b-b23105e2fcba · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-08-10T21:25:09.142696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 044b95b9-959c-421c-b201-94bda15da3cb · outbound

This paper cites Tzoufras, A.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Tzoufras, A

Reference 12

Resolution: verified exact; doi, observed 2026-08-10T21:25:09.129661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 71079a19-7e98-468b-b7fd-b913388b3bb8 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.820158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation feda4538-5445-4aa4-ad07-fb83d0b0aac1 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-08-10T21:25:09.116925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d284a57e-d1d3-42ad-8509-77f399bfff6a · outbound

This paper cites Hakim, J.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Hakim, J

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.830224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad146386-f614-424a-a26e-77eba31b7ca7 · outbound

This paper cites The deal.II finite element library: design, features, and insights.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method The deal.II finite element library: design, features, and insights

Reference 16

Resolution: malformed identifier; no resolver link, observed 2026-08-10T21:25:08.834762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8fc5375-6698-48f0-8a82-6e2a03ad03d7 · outbound

This paper cites Arndt, W.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Arndt, W

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.839355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07b0a582-96d6-44f7-a4da-868a902d14dd · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-08-10T21:25:09.095422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7a58f9d8-05c8-46c7-8576-e5b563844a80 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.847912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23b9e54c-bd00-4992-aeb4-0a3a1645e77d · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.851945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1bf8b323-f127-4b66-a703-9133080f5166 · outbound

This paper cites Shu, High order weighted essentially nonoscillatory schemes for convection dominated problems, SIAM Review 51 (1) (2009) 82–126.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Shu, High order weighted essentially nonoscillatory schemes for convection dominated problems, SIAM Review 51 (1) (2009) 82–126

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.857011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5ca7924-b337-4b23-ab60-68cfac4c690c · outbound

This paper cites Munch, K.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Munch, K

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:09.607387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ff620c8d-f463-4fe7-8976-485a7cee7bf7 · outbound

This paper cites Milton, I.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Milton, I

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:09.594747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 27280cf5-d1bb-432f-9c93-1c28cc78e766 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.869818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62d01dcc-2293-4358-b077-5f11bfdf9946 · outbound

This paper cites Hairer, G.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Hairer, G

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.874067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2760d2ed-0cae-4e6c-a93c-63657a9ec35d · outbound

This paper cites Cockburn, An introduction to the Discontinuous Galerkin method for convection-dominated problems, Springer, Berlin, Heidelberg, 1998, pp.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Cockburn, An introduction to the Discontinuous Galerkin method for convection-dominated problems, Springer, Berlin, Heidelberg, 1998, pp

Reference 26

Resolution: verified exact; doi, observed 2026-08-10T21:25:09.040429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2e3c6fba-3314-4ac0-83e5-8979f024a685 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.883202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 310838be-c3e5-4fb5-8f3e-d56fd2b7e226 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 28

Resolution: verified exact; doi, observed 2026-08-10T21:25:09.018152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ba4cc69d-64f3-4eb7-b0b8-68fe23bcdbd8 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.890990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17f5d368-9f30-4f66-9373-62e067dcf19a · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:25:09.582514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 405433e8-8215-4e4b-b588-5fed28c72b43 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 31

Resolution: malformed identifier; no resolver link, observed 2026-08-10T21:25:08.898493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 094023b8-3029-43da-8228-3f3c9cd6a522 · outbound

This paper cites A more accurate numerical scheme for diffusive shock acceleration.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method A more accurate numerical scheme for diffusive shock acceleration

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:25:09.228332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 11998d8a-d593-4418-bdcf-71d3b0bad9f3 · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:25:09.570726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 436364f2-4fd7-423d-9285-daa84acf5c32 · outbound

This paper cites Blandford, D.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Blandford, D

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.912111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 348c613a-9cda-42dd-b600-35a6e2d6aaca · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 35

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T21:25:09.558655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0dff2299-16a3-446d-81b7-365123a5ab2b · outbound

This paper cites an unresolved cited work.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Unresolved cited work

Reference 36

Resolution: verified exact; doi, observed 2026-08-10T21:25:08.979990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d1e06d2a-a78a-40fc-88ee-7cf07b766a12 · outbound

This paper cites Rapid cosmic-ray acceleration at perpendicular shocks in supernova remnants.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Rapid cosmic-ray acceleration at perpendicular shocks in supernova remnants

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.925044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9b7b06f-d6b8-44d5-9e16-5d8b90d041ee · outbound

This paper cites Cosmic ray acceleration and escape from supernova remnants.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Cosmic ray acceleration and escape from supernova remnants

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.929862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 692d8b6d-4f27-4002-9f32-a3e3fd3e7724 · outbound

This paper cites Thomas, M.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method Thomas, M

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.935226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ea2fda9-eeb7-4764-9e95-d80d5e715a23 · outbound

This paper cites URL http://dx.doi.org/10.1086/167462.

Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method URL http://dx.doi.org/10.1086/167462

Reference 1112

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:08.799707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation a8095674-ec6a-4408-85b8-c8122e3596d9 · inbound

Ultra-High-Energy Particle Production in Binary Mergers Endowed with Magnetic Fields cites this paper.

Ultra-High-Energy Particle Production in Binary Mergers Endowed with Magnetic Fields Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T07:48:47.400288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.