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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.075033Z digest=sha256:6a9f667a4d397b49fa4261148519f3e099b69aee2da9123416ad92d43f369ac5

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.083907Z digest=sha256:79cd35859c6b5938522cf0bcd93aba6460acbf27ac21ddbd7934977a78a26108

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.087893Z digest=sha256:de5514e67d73368eed9947b0828a9d2d48fbdf3a5d854623c5a70db8cf93ec6f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.091549Z digest=sha256:5aa4e0094db8a1e11ccff28c1f9c131d374b100023ec09d86e1b5c7cd08c2483

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.095647Z digest=sha256:b18d7d371a4bfc898193c43d16eb285a3a26d8e82c903578aba055de963707c1

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.099819Z digest=sha256:77189e0c916baeb46ca148ae900a8438445306ec4243a23edfe956fb8bcd6879

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.111842Z digest=sha256:9820e7e175cc3a0224163d236b52df6670d4920bff250aac3c46cbe8a15388cf

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.115856Z digest=sha256:a6433c31b6d0825b5b04773a0d488c16fc2d3731d44b6700be6b279a0fdc23f7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.119587Z digest=sha256:515e1d12e72d8ef71035133b7353211564f91e7d5b24c6c994186484956f3750

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.123345Z digest=sha256:b5f4dccda06fd70bb8a79b7c6b8aecf17d3639d0013bdee172519589abf9458a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.127471Z digest=sha256:594d313d62f27f021ef16355b4edcee2da4b0e8b85a5e1d60c190926fc1f93bc

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T11:38:07.131450Z digest=sha256:5939feaa79bdd7f521c8eb788b737fb84746cff82830dd2738bf9b8f31064d1e

Pith citing papers

No inbound Pith citation observations are available.