Pith. sign in

Paper Citation Record · LEDGER

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force

As of 22 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2608.13413.

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

pith.paper-citation-record.v1
2608.13413 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:38:07.131450Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a0f7695d-f1bf-448b-b2ed-f62133628645 · outbound

This paper cites an unresolved cited work.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Unresolved cited work

Reference 1

Resolution
verified exact
doi, observed 2026-08-14T11:38:07.185484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T21:38:13.843366+00:00.

source=pdf_text observed=2026-08-14T11:38:07.075033Z digest=sha256:f4aebf6d46e183547c11415b286086184b9090be723b9c50465cb216757ee764

Observation 2b0691f4-4546-4924-be6f-39b0d3182192 · outbound

This paper cites an unresolved cited work.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T11:38:07.079928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:38:07.079928Z digest=sha256:421e9f7e6b2ef92c0d2352a15099dacba60546298f021a0b5c8fabebc2bff476

Observation f278138c-da30-4fc0-944f-a2e4cb6b4124 · outbound

This paper cites an unresolved cited work.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:07.315127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:38:07.083907Z digest=sha256:a37c070b1b28964a68e95fd191f747d1da613abc767d05d7e92ca863d2c2368c

Observation 207eb625-4de9-4152-bd91-27bfe4ca62e0 · outbound

This paper cites Bateman,On Dissipative Systems and Related Variational Principles, Physical Review, vol.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Bateman,On Dissipative Systems and Related Variational Principles, Physical Review, vol

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:07.302821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:38:07.087893Z digest=sha256:869aab9d707be2ccf862988456abbf8a18ed441ecd986aee2424e7cddb895c48

Observation d23f8129-a191-4efd-9967-9015ebbb0607 · outbound

This paper cites Dekker,Classical and Quantum Mechanics of the Damped Harmonic Oscillator, Physics Reports (Review Section of Physics Letters), vol.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Dekker,Classical and Quantum Mechanics of the Damped Harmonic Oscillator, Physics Reports (Review Section of Physics Letters), vol

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:07.290886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:38:07.091549Z digest=sha256:4e52be9308519a625ab25a511d692dfbc2e7f8b5f5d4d73717938745e0e5d51a

Observation 02b8c5d8-f4e2-417c-9d23-c743becfe99f · outbound

This paper cites Dekker,On the Quantization of Dissipative Systems in the Lagrange-Hamilton Formalism, Zeitschrift f¨ ur Physik B, vol.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Dekker,On the Quantization of Dissipative Systems in the Lagrange-Hamilton Formalism, Zeitschrift f¨ ur Physik B, vol

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:07.279080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:38:07.095647Z digest=sha256:f2fda591b7787a7f5a611dfcda5555d7b6993dea8bf546e6cd39ed0b1ee7a1d1

Observation 644ce7fe-e268-4dda-ae2d-2f17e004c342 · outbound

This paper cites Riewe,Nonconservative Lagrangian and Hamiltonian mechanics, Physical Review E, vol.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Riewe,Nonconservative Lagrangian and Hamiltonian mechanics, Physical Review E, vol

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:07.268426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:38:07.099819Z digest=sha256:dbdde665b4e0c82b73f306becbc35ad6b10695d9f94808c96a76d57939415a45

Observation 2113524e-50bd-4358-b358-01677c1e7afc · outbound

This paper cites an unresolved cited work.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T11:38:07.104058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:38:07.104058Z digest=sha256:9e050bbf09eab6e28d5bdcdb9f3b72c0f627c37cf716cc39bd8739c5ab73a194

Observation ee73085c-ef85-4f02-a57b-8bcfa4e2ed88 · outbound

This paper cites an unresolved cited work.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T11:38:07.108047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:38:07.108047Z digest=sha256:f671b614ce3a4bf75c6f35345c0ce002bf31c7eba9f5bf39a4d7503d9803a1b6

Observation 996f9acf-598b-4e57-9bd7-99fed8cad53c · outbound

This paper cites an unresolved cited work.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:07.258187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:38:07.111842Z digest=sha256:498f64f955f41e48245e9e6a8fa8fc1dfef0dca64470c0677174893d95247af9

Observation 572a7be0-fcd7-4197-9d54-955198bd75b0 · outbound

This paper cites an unresolved cited work.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:07.247234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:38:07.115856Z digest=sha256:f3eb9315560faf025809f99c35066177a3941f83bccf7d423d50a23e22554f54

Observation 50859824-e33e-41da-ba4f-fb9e3d35fc1a · outbound

This paper cites an unresolved cited work.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:07.234970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:38:07.119587Z digest=sha256:50676cc02583abaa9b52e47f6f9601d7c7bd10f9f01729e48f36335bbf37f2c3

Observation 9926c52b-7560-4ea8-9e24-c0ce12e2e696 · outbound

This paper cites an unresolved cited work.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:07.223328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:38:07.123345Z digest=sha256:f8600d10196d492d015b5197b43346de7d8df7b8a72c21005a541ed54cb7b6ce

Observation 983e07d5-62ad-4e04-8af9-4703ff7f8999 · outbound

This paper cites Ostrogradsky,M´ emoire sur les ´ equations diff´ erentielles relatives au probl` eme des isop´ erim` etres, M´ emoires de l’Acad´ emie des Sciences de Saint-P´ etersbourg, vol.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Ostrogradsky,M´ emoire sur les ´ equations diff´ erentielles relatives au probl` eme des isop´ erim` etres, M´ emoires de l’Acad´ emie des Sciences de Saint-P´ etersbourg, vol

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:07.211760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:38:07.127471Z digest=sha256:f720abfaeb16d9b05bbc155060eb0096c3dc623ea3a22d032d29edab0aefb795

Observation 3ff6460d-0ac1-42f6-8856-dbcacf6f73e5 · outbound

This paper cites Harmanni,Higher Order Lagrangians for Classical Mechanics and Scalar Fields, Bachelor Research, University of Groningen, Faculty of Mathematics and Natural Sciences, 2016.

The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force Harmanni,Higher Order Lagrangians for Classical Mechanics and Scalar Fields, Bachelor Research, University of Groningen, Faculty of Mathematics and Natural Sciences, 2016

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:07.198882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:38:07.131450Z digest=sha256:a429091662a1e09d4596a11fa661983ffefc3c14f0ac769dfeb65801bdd261c9

Pith citing papers

No inbound Pith citation observations are available.