Pith. sign in

Paper Citation Record · LEDGER

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

As of 8 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 2026-08-07T06:34:17.273281+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:e49baa02e7ded04e8413de8d6dc330f88e58a056dc7b0f7a719cab9b3e4eda66

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:32.441478Z digest=sha256:4b76f87edd9c65c9c9b960bd2d83ecaaa0b5159d7bb1b71075d90597da818f18

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:32.446598Z digest=sha256:0bcce078a03b0cfae3abe8c9c600d2b4d5ddf08372b069616a80b4299e725b31

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:32.453067Z digest=sha256:fc84d2ff05259bf269af13d75d7726c24b411a19eed6768749d2bd53df245870

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:32.470357Z digest=sha256:c079760a95e992b2957ef33443a18ddf85faa9101a61d58c8e267fbaa7607c1b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:32.476373Z digest=sha256:4e3c62f600c15630deae87916398e4d62c2cfba44447c11ddd5c9b497ff5004e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:32.482264Z digest=sha256:4980410379a3f72f5275ac6f4fe39f2a21ecf34cb266bfc5e554574e6ac90ec7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:32.489622Z digest=sha256:ce2595163069143e8467c76fa71cce67fe6e1428ed35444136d9d959a5f67db9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:32.496422Z digest=sha256:0a072460f96e863106b48d3b3daa2bc497e521607eaecfc38dbd8fae139ffb5f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:32.509620Z digest=sha256:5b4cd6f63eb96c1940c976355f2800fdde315290c63b98e9d82214bf08ea1d7c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:32.529128Z digest=sha256:d83f3364b2e8ba5b3174352ed75db60234296833d37e7ffea8332b9665fee2f3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:32.534428Z digest=sha256:3898445ab8e642e12c7a61d0d4726b95c77f7baa603ab341bd2351677c59892e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-30T00:56:26.579506Z digest=sha256:745358ca53d5b53a8bc12fd85bbeb790c6962e86e654c0a780c6348925438e6f

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=sha256:622ac357e8b999457de13fc6fad81281d2d7d2ed0bd8be1346ea38b2149a0a19

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:a45ed8edea0202b9acc018a2aa3e31e993b1c4658a375784ecfa7d195e9451af