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Paper Citation Record · LEDGER

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 3 inbound Pith citation observations for arXiv:2506.08444.

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

pith.paper-citation-record.v1
2506.08444 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:25:32.534428Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T03:46:58.903634Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T16:05:49.536408Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact3
  • verified fuzzy5
  • unresolved8
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7b194647-3230-4096-afa4-8da7acafc3d6 · outbound

This paper cites 2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau 2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:32.429091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:32.429091Z digest=sha256:9404bfcf43ff4e6d155f38efc36ee3c3c26ad5865afa70b6799b6982beea6ffa

Observation 61a218ed-25d6-43b1-8932-36b307d348c5 · outbound

This paper cites Carpenter, C.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Carpenter, C

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:33.116597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:25:32.441478Z digest=sha256:a366a3295079dad49fccb553b04cd291f8ec036264a04e021929df202dc63819

Observation 9559473c-4064-4409-91b4-b176b5fe722d · outbound

This paper cites Hairer, S.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Hairer, S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:33.096460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:25:32.446598Z digest=sha256:f7302d93b044c6fa4f8aa4df7b965bdfa56d485c8751a3b02efc3937581c00be

Observation 96d5ea47-889d-4b56-9817-95cb17bc108e · outbound

This paper cites Butcher, Numerical Methods for Ordinary Differential Equations, 3rd Edition, Wiley, 2016.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Butcher, Numerical Methods for Ordinary Differential Equations, 3rd Edition, Wiley, 2016

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:33.076936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:25:32.453067Z digest=sha256:b85c3587470d33900770f0c8d9f467eab05f29bd79e0f2e3dda42874d20e64c1

Observation a5ecfaf6-b126-4f13-99df-960714a70d4d · outbound

This paper cites Bazavov, Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials, BIT Numerical Mathematics 62 (3) (2021) 745–771.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Bazavov, Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials, BIT Numerical Mathematics 62 (3) (2021) 745–771

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:32.458650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:32.458650Z digest=sha256:93c502bbd03fe8d9ed7c0d382964165597a146dbeb047d66545351ac85e6661a

Observation fbe54965-f7b5-4309-950e-92abc1dc0407 · outbound

This paper cites an unresolved cited work.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:32.464348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:32.464348Z digest=sha256:ccf65b22f2d1645a9011097d6fd211f1c5be9a6cb92fb1e7f9159b2b7d422dc5

Observation cfc2ab3b-142b-44dd-a981-dc13003b047e · outbound

This paper cites an Yan, Low-storage Runge-Kutta method for simulating time-dependent quantum dynamics, Chinese Journal of Chemical Physics 30 (3) (2017) 277 – 286.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau an Yan, Low-storage Runge-Kutta method for simulating time-dependent quantum dynamics, Chinese Journal of Chemical Physics 30 (3) (2017) 277 – 286

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:33.054349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:25:32.470357Z digest=sha256:caea8fda6f25153f3c3ea68d1b5669e5a4db429ea6251bc376afe29481ade391

Observation 3db1418f-c82e-4ccf-a933-aad9b6553acf · outbound

This paper cites Berland, C.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Berland, C

Reference 9

Resolution
verified exact
doi, observed 2026-08-07T05:25:32.657562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:25:32.476373Z digest=sha256:b43fead7e7a1550dc97063780373c537e0513a3598c076f343defd36f1836daa

Observation 4b6ce451-f0e3-454d-a314-60a56c0a9bd3 · outbound

This paper cites Berland, C.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Berland, C

Reference 10

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:25:33.029706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:25:32.482264Z digest=sha256:d9a0a51fc6a7d1493c291dde303f70a1cf8721687a0f87c82e7ed710325ed67d

Observation 7ea8fbe9-ce03-4a2d-a54d-d32bf6ccb237 · outbound

This paper cites Allampalli, R.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Allampalli, R

Reference 11

Resolution
verified exact
doi, observed 2026-08-07T05:25:32.638523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:25:32.489622Z digest=sha256:255d3e4858303d72a1c92a47ee7836bf528930c48604293c5f1a86027b850db1

Observation 81054bdf-1d2a-4c49-ae49-4fd06482e5f3 · outbound

This paper cites Toulorge, W.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Toulorge, W

Reference 12

Resolution
verified exact
doi, observed 2026-08-07T05:25:32.618247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:25:32.496422Z digest=sha256:9b92e4b1e0c2cb059395630bc8162b4dd54c9ba417bcf534e2f7ce4743045818

Observation c891a26e-eeb9-4317-acff-2372a2a5706a · outbound

This paper cites Niegemann, R.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Niegemann, R

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:32.502437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:32.502437Z digest=sha256:6e46f751a437928571017770205d158704841ffd1f51c25744ae1d943fd8a86c

Observation a24fb209-64ba-4402-97e1-86fc802a7f73 · outbound

This paper cites an unresolved cited work.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:25:32.997514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:25:32.509620Z digest=sha256:9d546d6ee757a975d734e4b458b606dd576a8f6e7f1133be3662ef54e666d809

Observation 2e6d01f9-c6fb-480e-9131-afb8e867c5cb · outbound

This paper cites an unresolved cited work.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:32.515798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:32.515798Z digest=sha256:308eb9949805f809d0559c91373db808be2578af4038f2809471716f370ea566

Observation ad4c9dd6-1907-4531-a3c5-116228ffdbf4 · outbound

This paper cites Fousse, G.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Fousse, G

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:32.523470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:32.523470Z digest=sha256:6579f843ae9f7ebba712b67dfbc3ae96b8f58eca465910b1206bb2d1a1fd35a7

Observation c0c29d21-d269-4b6c-a293-1ffa9684539a · outbound

This paper cites Decker, G.-M.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Decker, G.-M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:32.976589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:25:32.529128Z digest=sha256:0aac1664a3fba95b3bfdf8dc4855fe852625511f6f7f3443c8047dd2602d7f5f

Observation e4527643-9453-4a7c-b38b-697fbbba3591 · outbound

This paper cites an unresolved cited work.

2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:25:32.956337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:25:32.534428Z digest=sha256:77db0ecf8ce2dfb62e5b2c172aca03ef301e92b25fa457998694ef9c15bdade7

Pith citing papers

Observation 9418a0b1-4143-47e5-a855-c0172752c72a · inbound

Highly improved staggered quarks on anisotropic lattices cites this paper.

Highly improved staggered quarks on anisotropic lattices 2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau

Reference 74

Resolution
verified exact
arxiv_id, observed 2026-07-01T16:05:49.537661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-30T00:56:26.579506Z digest=sha256:963e55d3c598afacd45c8acf8702d262b451303e5c11cfc44c3ec4b3366e1056

Observation 8b23eba5-3216-4aa0-8127-ca81baf7f4fc · inbound

CosmoLattice 2.0 cites this paper.

CosmoLattice 2.0 2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau

Reference 40

Resolution
unresolved
no resolver link, observed 2026-07-31T04:33:04.675379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:33:04.675379Z digest=sha256:edd7260a745ce3571bc81138c0f54004cf0553b9ffa9ac2ffd644109158d54c9

Observation 0694b3bd-7292-4805-aaec-477ea77da217 · inbound

CosmoLattice 2.0 cites this paper.

CosmoLattice 2.0 2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-04T03:46:58.903634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T03:46:58.903634Z digest=sha256:793d557d3aa81071fc7b1eb796bdb627d93505e02b079abaddb99d5dd2f0d4df