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Paper Citation Record · LEDGER

The First Variational Formula and the Ostrogradsky Formalism

As of 13 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2608.01491.

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

pith.paper-citation-record.v1
2608.01491 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:13:04.132568Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 054f84fd-48f2-4027-8899-64dde3555a4b · outbound

This paper cites Goldstein,Classical Mechanics(Addison-Wesley, 1980).

The First Variational Formula and the Ostrogradsky Formalism Goldstein,Classical Mechanics(Addison-Wesley, 1980)

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T00:13:02.553147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:13:02.553147Z digest=sha256:dc776370909c129f660c0429ef12517f47a7dd683b38ce33f9d422fe7286e30e

Observation a8211f74-5505-4d21-8e7f-c663e0a27bec · outbound

This paper cites Higher-order terms also appear in attempts to improve the ultraviolet behavior of quantum field theories, including higher- curvature modifications of gravity.

The First Variational Formula and the Ostrogradsky Formalism Higher-order terms also appear in attempts to improve the ultraviolet behavior of quantum field theories, including higher- curvature modifications of gravity

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:13:08.394335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 48805cfb-ef4a-4243-830d-7c9100636149 · outbound

This paper cites boundary term.

The First Variational Formula and the Ostrogradsky Formalism boundary term

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:13:08.194624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:02.493956Z digest=sha256:e0cef0fd2b9191b8f50620d14e98cf28227479383d589e5543dcd82f7f26455f

Observation 1db26421-0f0a-427e-8db1-e0dc2a249e87 · outbound

This paper cites an unresolved cited work.

The First Variational Formula and the Ostrogradsky Formalism Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:13:08.061824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:02.648190Z digest=sha256:07a21e683f98c8f2dda07d2bb683c7c4abbd6e227639b34d7cb0da897ec8fabc

Observation 79dc71ea-ac71-423c-9578-e7d3b5dd05fd · outbound

This paper cites Lanczos,The Variational Principles of Mechanics(Dover Publications, 1986).

The First Variational Formula and the Ostrogradsky Formalism Lanczos,The Variational Principles of Mechanics(Dover Publications, 1986)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:13:07.896438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:02.735395Z digest=sha256:de23e83bafff97ba756db828581d51defd758d1c1bacfc99cdf109640cce5c7f

Observation ccde88ea-f9a7-458c-a3ee-587336c380f9 · outbound

This paper cites Whittaker,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: With an Introduction to the Problem of Three Bodies, 2nd ed.

The First Variational Formula and the Ostrogradsky Formalism Whittaker,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: With an Introduction to the Problem of Three Bodies, 2nd ed

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:13:07.693740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:02.816159Z digest=sha256:460e49ea1b59d050b2bd40f3a0c4bcd6cc3679deca248a075a5120c24ff74922

Observation 98fcdf37-1ea4-4827-b3ac-e9dd7a311a21 · outbound

This paper cites an unresolved cited work.

The First Variational Formula and the Ostrogradsky Formalism Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:13:07.544007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:02.902375Z digest=sha256:e48f5bfed4f5f3e316310fe72da8bb7e5212d2ebf7f000cecf1c8061f56f72a2

Observation 589a2681-71a6-418f-82f0-91b7f2bd8dfe · outbound

This paper cites Barnich, M.

The First Variational Formula and the Ostrogradsky Formalism Barnich, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:13:07.289994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:02.991116Z digest=sha256:104f9b5d68a0da3e09355d014507fb2a6c0085d604e2c2f846bae1bd7a386c02

Observation 73551890-7f30-4e5e-99b9-fd657cd1ba8f · outbound

This paper cites Lee and R.

The First Variational Formula and the Ostrogradsky Formalism Lee and R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:13:07.088201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:03.099999Z digest=sha256:c528704b54591f46ca385d149bb621fb19bf1df938a311dea14c05a47feb79a3

Observation e2b2d650-be7a-44bc-9fc9-4b2deb1e0662 · outbound

This paper cites Crnkovic and E.

The First Variational Formula and the Ostrogradsky Formalism Crnkovic and E

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:13:06.933894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:03.180291Z digest=sha256:cb8bb321f203c1004e4ca9dda61b023351d554378a68da7fe2d130c4fe6a95db

Observation 6106d47b-5329-4a4c-b38f-2cb11c711edc · outbound

This paper cites Woodard, Avoiding dark energy with 1/rmodifications of gravity, inThe Invisible Universe: Dark Matter and Dark Energy(Springer Berlin Heidelberg, 2007) pp.

The First Variational Formula and the Ostrogradsky Formalism Woodard, Avoiding dark energy with 1/rmodifications of gravity, inThe Invisible Universe: Dark Matter and Dark Energy(Springer Berlin Heidelberg, 2007) pp

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:13:06.705603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 143ee972-adf1-4347-931d-0a29ceef8ab5 · outbound

This paper cites an unresolved cited work.

The First Variational Formula and the Ostrogradsky Formalism Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:13:06.527252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:03.385398Z digest=sha256:ab825b2bcac61e565093faaf31814acb5d125c9d6b25fdc4226bdf72974953e5

Observation 82cec094-f531-4df9-85f2-924bd05ed2db · outbound

This paper cites Pavˇ siˇ c, International Journal of Geometric Methods in Modern Physics13, 1630015 (2016).

The First Variational Formula and the Ostrogradsky Formalism Pavˇ siˇ c, International Journal of Geometric Methods in Modern Physics13, 1630015 (2016)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:13:06.291104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:03.438227Z digest=sha256:40e7f4861dd5b9dd677920d596a2696cc40ca3d14030c0a82bba6ac1146f78d9

Observation e72c278a-6ef5-47d6-a427-65f8fe7c68c1 · outbound

This paper cites Ostrogradsky, Mem.

The First Variational Formula and the Ostrogradsky Formalism Ostrogradsky, Mem

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:13:06.084050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:03.509911Z digest=sha256:dd2ec7257a83f3e30c6371131154ee0ee171be922b8fdd1a4f973f5914a0942c

Observation 1448fa49-2357-4dbb-a0e9-a6e6d11e3617 · outbound

This paper cites The Theorem of Ostrogradsky.

The First Variational Formula and the Ostrogradsky Formalism The Theorem of Ostrogradsky

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T00:13:03.584244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:13:03.584244Z digest=sha256:eb4f17ab17f56d4f817d71ddbf4f25bc02fd78026072b33388d18dcf22d9acc3

Observation 5c721dfd-5852-4435-a333-e4ad8ebf5cda · outbound

This paper cites an unresolved cited work.

The First Variational Formula and the Ostrogradsky Formalism Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:13:05.784551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:03.660435Z digest=sha256:3a6bac063497ba86441b517c2a862c9bcdba40c15266d7e9c10daf12c46c180b

Observation d950515a-f044-4e29-805e-7c54a1417e82 · outbound

This paper cites an unresolved cited work.

The First Variational Formula and the Ostrogradsky Formalism Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:13:05.507904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 67781d54-ed4c-4cd9-9f77-6d7c2296261a · outbound

This paper cites an unresolved cited work.

The First Variational Formula and the Ostrogradsky Formalism Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:13:05.327033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:03.840905Z digest=sha256:762d22397f8f8191722806e458583ac80da6569d11686ab56f4f3b3e4d354b29

Observation 9c30673d-17c4-4f76-8ab5-820210c7e07d · outbound

This paper cites Smilga, Nuclear Physics B706, 598 (2005).

The First Variational Formula and the Ostrogradsky Formalism Smilga, Nuclear Physics B706, 598 (2005)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:13:05.008687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:03.934987Z digest=sha256:8d5fa6e26e2ed699a213eb4a067b32515175ca1195cca7287073a5c28a404983

Observation d07d706c-e40e-444d-a089-87ad56bcc3ba · outbound

This paper cites an unresolved cited work.

The First Variational Formula and the Ostrogradsky Formalism Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:13:04.746706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T00:13:04.068331Z digest=sha256:2de31e6feee0b78034a07e5482b2102cc4a5fc5108202002c5aa7a2a046e6ea3

Observation 50ae7bcc-68f6-4244-9cf3-21df41f0a73e · outbound

This paper cites an unresolved cited work.

The First Variational Formula and the Ostrogradsky Formalism Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:13:04.467529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Pith citing papers

No inbound Pith citation observations are available.