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Paper Citation Record · LEDGER

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems

As of 21 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.05781.

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

pith.paper-citation-record.v1
2607.05781 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:30:52.376085Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

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  • unresolved20
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4c60d35-37ae-40eb-be6f-c518601f6c52 · outbound

This paper cites Arakawa , Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Arakawa , Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow

Reference 1

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no resolver link, observed 2026-08-02T08:30:52.238353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.238353Z digest=sha256:92f89afa10329647ac7fdebda179efeac1360c0403b759a3e240b6f4b5a49db1

Observation 76fdc785-5f2d-4fea-b680-190b5e456f97 · outbound

This paper cites Arakawa and V.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Arakawa and V

Reference 2

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no resolver link, observed 2026-08-02T08:30:52.246447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.246447Z digest=sha256:54abf8c31baa33248cbcc8bbd7517d6da9a47e472135103210b6db1d06c8d79b

Observation 3b8f2ded-6b36-4c78-af62-ac904cf2afd9 · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 3

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unresolved
no resolver link, observed 2026-08-02T08:30:52.258699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.258699Z digest=sha256:33be256171d68e2061e450c8390d402006f549434547e5600ebb7cd0acec25b5

Observation faf391f6-7f0e-4a36-9ed6-c8fd9b11d5cd · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 4

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no resolver link, observed 2026-08-02T08:30:52.264974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.264974Z digest=sha256:1ed9a38fbef1ce27e4cd6ddd5005862fd6a008fc0a43ce7dff09f4a453e84a2d

Observation 72ddd2f7-48b7-49dd-8f67-e7d99f89eb0b · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 5

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no resolver link, observed 2026-08-02T08:30:52.274869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.274869Z digest=sha256:f184c029c6248f1c9b87fac0bec55eb920b7cc704f32b6cb13d25ba66de52a8e

Observation c6ce2f76-8b57-40e5-b87b-d187fe967ed6 · outbound

This paper cites Chen and C.-W.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Chen and C.-W

Reference 6

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no resolver link, observed 2026-08-02T08:30:52.281069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.281069Z digest=sha256:5b983919e31044c4c31a03b0aaaf050fbad243d90aecd110464eab88099a290b

Observation feb61448-af5c-4002-905f-c969814ff2e1 · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T08:30:52.288095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.288095Z digest=sha256:3f543c78c8ca161f6218313c9e64363954d1b9a95d9ba1b13b488a1648689ffd

Observation 744c4723-bcae-4dcc-a4f9-340b8a1e7ceb · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 8

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no resolver link, observed 2026-08-02T08:30:52.296082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.296082Z digest=sha256:7d31c7dad60424d206f0669b0d1b600eec9f6f0d37fd354bd4cf73874b5cf821

Observation 115de114-6d08-435d-9340-22599821dc93 · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 9

Resolution
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no resolver link, observed 2026-08-02T08:30:52.302525Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.302525Z digest=sha256:f7bd597461beb590cd9dd745e2fcf5cf011b2690c82aea1cd65cbee953f0053a

Observation 1c319f55-c675-443e-90ae-c9ba54f844b2 · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 10

Resolution
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no resolver link, observed 2026-08-02T08:30:52.309645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.309645Z digest=sha256:930d9fa54aee7c7e92df57a522a4ff54873e284a67fff5186c0f74dae38b095d

Observation 3a47506e-f93f-4f04-9c96-83f915c39f98 · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 11

Resolution
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no resolver link, observed 2026-08-02T08:30:52.316077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.316077Z digest=sha256:d825a43ecd19148c87aff3ef577c3b23cf1016ff13aeab69a0a99a0f22b7b968

Observation dbebcf0a-a5c2-4a14-8c3e-3351078bf9cd · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 12

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unresolved
no resolver link, observed 2026-08-02T08:30:52.322611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.322611Z digest=sha256:ea696882566900d9b445d3e3ba492541b4b16604ea0f875f33ce7ba34e2f4c55

Observation edf5fdd6-cbc3-4c86-864e-153f7f3c4c3f · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T08:30:52.328539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.328539Z digest=sha256:0d5700d717c3e7b0a187e908c5ba7cd2d8a929027ed92fd639688f9d5f9bc9ad

Observation f9ed890b-a1a9-47c3-94c7-3cc88a0a970a · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T08:30:52.334481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.334481Z digest=sha256:f6b56cdc9c0c7c80fa6699c7ad21a8b7300650a9d11f815ecfdafabebae2f01b

Observation a697760d-3e2e-4966-8524-ff4abf64d39a · outbound

This paper cites an unresolved cited work.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-02T08:30:52.342530Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.342530Z digest=sha256:d1ae2181cea43b8e2b0816dec4de6b5de9026fec45ab862e77468a6fa5ca8e8a

Observation a53a6028-ac8b-4a0b-9854-a50c17446c19 · outbound

This paper cites Kreiss and G.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Kreiss and G

Reference 16

Resolution
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no resolver link, observed 2026-08-02T08:30:52.348387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.348387Z digest=sha256:ab58997c502b07bb4bfedbc08b21482efa0ab0cac745d734a7ebc41a98f50b72

Observation 8a102825-451f-4a1b-8f49-83215f0edfbc · outbound

This paper cites Ranocha, M.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Ranocha, M

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-02T08:30:52.354153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.354153Z digest=sha256:fd6fe09de3a86278e7329043630fb8bb43c9d4deb5821bc9aeb6d0fb91916c37

Observation 5da48267-3854-420d-91b9-fc38f212a676 · outbound

This paper cites Strand , Summation by parts for finite difference approximations for d/dx , J.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Strand , Summation by parts for finite difference approximations for d/dx , J

Reference 18

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no resolver link, observed 2026-08-02T08:30:52.359719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.359719Z digest=sha256:98081a79ad8192f68e9a76ba1d2b0c181288ca2755134e398c669458dc8fff18

Observation 515bfe46-7c0b-42d0-8854-f032cec64bd5 · outbound

This paper cites Tadmor , The numerical viscosity of entropy stable schemes for systems of conservation laws.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Tadmor , The numerical viscosity of entropy stable schemes for systems of conservation laws

Reference 19

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unresolved
no resolver link, observed 2026-08-02T08:30:52.366974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.366974Z digest=sha256:a73ddc5969b634211b607e4ea371f69cfc8b3c6c2b3bf11f3e47a090bdb652ac

Observation f5f0cd37-01c2-4df0-85e5-5fb3ba355b16 · outbound

This paper cites Tadmor , Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems , Acta Numer., 12 (2003), pp.

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems Tadmor , Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems , Acta Numer., 12 (2003), pp

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-02T08:30:52.376085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:30:52.376085Z digest=sha256:0c1448faa16c396f078ea67dcfee732a311f02b54df5ac26a75a017dad8f7c21

Pith citing papers

No inbound Pith citation observations are available.