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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=sha256:8785a0a8d2c06316caae89901a0121ffe866cbb97250daf8b38745ce1d87af3e

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.

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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=sha256:5cbdca0bc5f05900cd7302e620188a7ed1bdc83e7701e8d042e923e26db257af

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:eb68e89c145c8b6e858a67e3ddb79ebe4c0d880c5bf673a1536d93efd9b2e3c0

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=sha256:0efd6c9ca501b735529c55eb24daf2e3a94b99653d5a7886259b446cbb3d0d51

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.

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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.

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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=sha256:3fc5057bb6018781551b16df25d8dfaadcd66e6805a7752d512e011a07dd6db7

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:c9f1560d878042d6e1de846917ea9d4e9a304a8b6c8b5fde2236d8e8ab971226

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=sha256:219df23260db4dfabe8a9f175a968fb6709aafa8315d68e8dc0bfbc6fe54c6d4

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.

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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.

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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=sha256:2effde2ce4063f6104fdb6491e6a6f4fa4d45a6ac70cb6078e8234e1877d6724

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.

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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.

source=pdf_text observed=2026-08-06T00:13:03.759408Z digest=sha256:c38784d19ea8ccc2b5613fbe7d70d42b330a819cbc87ec7ae5375a839a00c1b5

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=sha256:048a8d7f541aafad0ccf84279fc4531454bdbb9116db0efe8bf8a988b177c0e3

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=sha256:530585fb89f83131f06512a24a97f9bf78ac30d2a4cf0a33c02d203356ca3b4f

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.

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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.

source=pdf_text observed=2026-08-06T00:13:04.132568Z digest=sha256:559b705b3b12b456cdfbbebf7e99ec76ab85981db818ef396108684ec698341b

Pith citing papers

No inbound Pith citation observations are available.