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Paper Citation Record · LEDGER

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

As of 8 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 6 inbound Pith citation observations for arXiv:2506.07359.

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

pith.paper-citation-record.v1
2506.07359 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:45:46.118346Z

measured 24 of 24 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:25:32.429091Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T16:05:49.519723Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d4342b8c-4287-4f97-a251-b3567803d9cc · outbound

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

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Butcher, Numerical Methods for Ordinary Differential Equations, 3rd Edition, Wiley, 2016

Reference 1

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no resolver link, observed 2026-08-07T05:45:45.266184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:45.266184Z digest=sha256:457c0aaa51bf135b5e1cf92677690b71d1118a9fd14f41ff5ac16b0e7bac07d1

Observation 7c50e18d-514f-4c34-bf86-e8955d76bdfb · outbound

This paper cites Hairer, S.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Hairer, S

Reference 2

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no resolver link, observed 2026-08-07T05:45:45.335750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:45.335750Z digest=sha256:a9d1b4f083742e1b4ef6d745c83b7ce4288de5dab39b2a4a802e0b268d917aaa

Observation 6386959d-1b9a-41b9-9492-4b044920bdf2 · outbound

This paper cites Carpenter, C.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Carpenter, C

Reference 4

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no resolver link, observed 2026-08-07T05:45:45.417690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:45.417690Z digest=sha256:2d1b7c76e5b9c57ae41c5cf8ed998b50a0beb81f08e0b36c6c9d01e34c117597

Observation 20783325-23a2-4f08-9b47-0c5bd4f80a1e · outbound

This paper cites Stanescu, W.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Stanescu, W

Reference 5

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verified exact
raw_fallback, observed 2026-08-07T05:45:46.843205Z

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=2026-08-07T05:45:45.450837Z digest=sha256:f3067c273f2ebf67ca4da9fd10368313982f88b66a9aa757336793bd8a034afe

Observation 3c6bd0ba-14dc-49a6-b53c-b6ff17412752 · outbound

This paper cites Berland, C.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Berland, C

Reference 6

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malformed identifier
no resolver link, observed 2026-08-07T05:45:45.529516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:45.529516Z digest=sha256:4dd1f692c1acdf458bbee4eaf3eafca5ab8475feb6b05a7aaf7d92ea21ffc5c2

Observation 58e8eea8-9f49-4201-96bb-7ba00e1c8d9e · outbound

This paper cites Allampalli, R.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Allampalli, R

Reference 7

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no resolver link, observed 2026-08-07T05:45:45.555207Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:45.555207Z digest=sha256:1f80757c50a4af92627ba99202ea61c66da2d79957b092da75140a09986a59d0

Observation e5dfcaa6-dfcf-4e6c-b7b1-b018cf32ce60 · outbound

This paper cites Bernardini, S.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Bernardini, S

Reference 8

Resolution
verified exact
doi, observed 2026-08-07T05:45:46.247875Z

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=2026-08-07T05:45:45.601205Z digest=sha256:111fab80fcb5652cdeb90dd9ce6ce0d8256b1bb3b14cc136efcb283954ddcd60

Observation 99f27773-d8e9-42cb-bdbd-4b94f33ae0e7 · outbound

This paper cites an unresolved cited work.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Unresolved cited work

Reference 9

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:45.616819Z digest=sha256:b24b5b2cff8f900a9ecd1d46e86d96e944977c029b502b7dc12136b9c1210e87

Observation 2b252a8f-4f61-4584-9e9e-383429c96b20 · outbound

This paper cites Toulorge, W.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Toulorge, W

Reference 10

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:45.657330Z digest=sha256:419c2ff51af9dfe5253377bb954302d761469e250979afa197a46c4e8d8fbdb7

Observation 1456f8e8-408b-4696-b0ea-b510afe20ef2 · outbound

This paper cites Niegemann, R.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Niegemann, R

Reference 11

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no resolver link, observed 2026-08-07T05:45:45.694486Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T05:45:45.694486Z digest=sha256:07db9104657cf0f520a791a3eeaf9f2b51242113f952336a1a8fea9aaf39c15a

Observation 2deeb7e9-8839-4888-afa2-dce82a34cbdc · 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: Order conditions, general properties and some analytic solutions an Yan, Low-storage Runge-Kutta method for simulating time-dependent quantum dynamics, Chinese Journal of Chemical Physics 30 (3) (2017) 277 – 286

Reference 12

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no resolver link, observed 2026-08-07T05:45:45.761412Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:45.761412Z digest=sha256:08c5c56cc1ad83891e2bd15887ee3123254268c8cdcfb59f69ba19e136dd9e96

Observation 7cc123c8-f0b2-47f0-acf1-845ef5251893 · 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: Order conditions, general properties and some analytic solutions Bazavov, Commutator-free lie group methods with minimum storage requirements and reuse of exponentials, BIT Numerical Mathematics 62 (3) (2021) 745–771

Reference 13

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no resolver link, observed 2026-08-07T05:45:45.826536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:45.826536Z digest=sha256:9d3ba51c4540b9c8a683a5cb7d4a8ed985a3d851bebe4de2eb166150663faecd

Observation c34b28db-8a5b-4858-9e94-e204fc078723 · outbound

This paper cites an unresolved cited work.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Unresolved cited work

Reference 14

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no resolver link, observed 2026-08-07T05:45:45.909911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:45.909911Z digest=sha256:4578b9882427d478ad6ce3601c69d7ff74d2a552366ea2a93117b7f3e945d976

Observation bb729919-60ee-44ff-8684-1a908cce6dc9 · outbound

This paper cites an unresolved cited work.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Unresolved cited work

Reference 15

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verified exact
raw_fallback, observed 2026-08-07T05:45:46.591999Z

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=2026-08-07T05:45:45.950416Z digest=sha256:8b907a0a0d48f7de94daa9be70d4db0a9f4b6641e842a028ad8ca3e7f0ab0165

Observation 4f934535-fa85-4898-ad44-b1ceb580f208 · outbound

This paper cites Berland, C.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Berland, C

Reference 16

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unresolved
no resolver link, observed 2026-08-07T05:45:46.003431Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:46.003431Z digest=sha256:ecb5de119c612782baedf1037fffe5a590365580fb274dcc57b4b8469bf141f5

Observation e0703d29-7886-46e9-b03f-89eb5bd1c63b · outbound

This paper cites Efficient integration of gradient flow in lattice gauge theory and properties of low-storage commutator-free Lie group methods.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Efficient integration of gradient flow in lattice gauge theory and properties of low-storage commutator-free Lie group methods

Reference 17

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unresolved
no resolver link, observed 2026-08-07T05:45:46.040511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:46.040511Z digest=sha256:736a5a211b1465aa26e1b981134dd508843a1589d16396f396fa6c9ebe14a1a1

Observation 4e9a5251-1fa1-472a-a896-c7836ba52810 · outbound

This paper cites an unresolved cited work.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:45:47.056548Z

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=2026-08-07T05:45:46.080658Z digest=sha256:6096f89c35c45458dbf5238bddbbe7db56d4c2500ca3d3d59074118c4e43d81d

Observation 0cd714dd-8bac-4077-9ef7-ce678318bfdf · outbound

This paper cites Fousse, G.

2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions Fousse, G

Reference 19

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unresolved
no resolver link, observed 2026-08-07T05:45:46.118346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:45:46.118346Z digest=sha256:956c5f78b8d206741aa539af24dd1b5f17a6bf487aa730d9bda632847a906b3d

Pith citing papers

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

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

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 fe9a567e-08b8-4f18-b14c-1bd69c98ece6 · inbound

D-splitting methods: 2N -storage embedded explicit pseudo-geometric Runge-Kutta methods using splitting methods cites this paper.

D-splitting methods: 2N -storage embedded explicit pseudo-geometric Runge-Kutta methods using splitting methods 2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-13T18:08:15.292366Z

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=2026-05-13T18:07:31.978770Z digest=sha256:5b6666cd9a9a4d2a739904e92aeaedd90d80b86895572eb2f726aa36dffa565d

Observation fd09244b-84a2-444c-9e01-3967d6aa493c · inbound

D-splitting methods: 2N -storage embedded explicit pseudo-geometric Runge-Kutta methods using splitting methods cites this paper.

D-splitting methods: 2N -storage embedded explicit pseudo-geometric Runge-Kutta methods using splitting methods 2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions

Reference 1

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unresolved
no resolver link, observed 2026-07-13T13:21:50.030021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T13:21:50.030021Z digest=sha256:123fcf581145687956b05e8b81e48a302ecc8bdafcdadb9fb115a64db765987c

Observation 188f6668-3f34-4892-a7e4-840a5c59ef1a · inbound

Highly improved staggered quarks on anisotropic lattices cites this paper.

Highly improved staggered quarks on anisotropic lattices 2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions

Reference 73

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metadata mismatch
arxiv_id, observed 2026-07-01T16:05:49.521106Z

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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=sha256:8be70805ce5a73bde0d2b3f8d3e8fe88d8debd9b175b6d0dc44e17a4ed269e3e

Observation 9099ead4-0d13-4726-a582-f69906b4ed4b · inbound

CosmoLattice 2.0 cites this paper.

CosmoLattice 2.0 2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions

Reference 39

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no resolver link, observed 2026-07-31T04:33:04.671297Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:33:04.671297Z digest=sha256:7c5cc43154fb5124273a24541bf539ea974d380de7f8bf3a1fe995e7cab482d4

Observation 11898f1d-312b-4f9f-8f8c-bbe49af51f23 · inbound

CosmoLattice 2.0 cites this paper.

CosmoLattice 2.0 2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-04T03:46:58.899549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T03:46:58.899549Z digest=sha256:49ba7a9135b6275c495f0f343773c3ab7abc16913f3ee8cc11c1ba05bfd2e28f