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Paper Citation Record · LEDGER

On a geometric description of time dependent singular Lagrangians with applications to biological systems

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.09647.

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

pith.paper-citation-record.v1
1908.09647 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:28:39.894057Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

26 of 26 outbound references displayed

  • verified exact1
  • verified fuzzy19
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5a744217-eec1-4e30-b1ce-c262ff9dd14d · outbound

This paper cites an unresolved cited work.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:40.733793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 200583ea-cccf-46eb-bed7-694ba909740f · outbound

This paper cites Trubatch and A.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Trubatch and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.673198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.585950Z digest=sha256:6134dc6ab3935c310d4a4183df4fa4441fe8cce26e5d9d9acc2c483551a9444a

Observation bda6293c-db59-4dbb-bd69-a43ab0e35b5f · outbound

This paper cites Goriely, Integrability and nonintegrability of dynamical systems.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Goriely, Integrability and nonintegrability of dynamical systems

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.659165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.590354Z digest=sha256:7e3caed3e521488dba3f172447f4b8bf78f2cd05199f26e15c4cc2ddfa890847

Observation 4aee1b22-74d2-4c3c-9723-5c5934093a0f · outbound

This paper cites Paine, The development of Lagrangians for biological models , Bull.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Paine, The development of Lagrangians for biological models , Bull

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.644199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 62126a34-9308-40ab-83f5-a8a517cf519f · outbound

This paper cites Nonlinear Math.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Nonlinear Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.610316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.599363Z digest=sha256:4efef0f5e80a83b843575f9d8582da2f4ff3ce9c63524cc28afcd41306735eff

Observation 88160e39-131c-4cc1-b9e3-69c214b57152 · outbound

This paper cites an unresolved cited work.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:40.492054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 525bbe37-e2ee-4f97-83ea-f9dc772e00a9 · outbound

This paper cites an unresolved cited work.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:40.466288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.626524Z digest=sha256:67b469ea52b9053ece326240d0870daff64077bbf949cb0c5d5de47c7708b109

Observation 480f6d27-a6fe-4670-9e5f-221dcd21c434 · outbound

This paper cites Esen and P.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Esen and P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.452523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.673968Z digest=sha256:26e984f24ac007286485ac519d73bc40f03f88614e58b5d602b442e39d990832

Observation 068a95ce-9187-4d5d-abf4-f349efb1d91f · outbound

This paper cites de Leon and D.

On a geometric description of time dependent singular Lagrangians with applications to biological systems de Leon and D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.439500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.706652Z digest=sha256:86c3c3afa13d10ceff3049148f532f78124d385813b9459e2e9e2e7646fee3f4

Observation 7357486b-d707-4cba-a653-c350e3492e5f · outbound

This paper cites de Leon and C.

On a geometric description of time dependent singular Lagrangians with applications to biological systems de Leon and C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.425281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 186c1d56-8fdf-45da-b1c5-972cb935b6ad · outbound

This paper cites an unresolved cited work.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:40.384511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2bf5f8c6-df41-46d6-b499-ed25f477db56 · outbound

This paper cites Ibort, M.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Ibort, M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.323174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.759524Z digest=sha256:baefeece26732419d1e985f9915ce30828b387de2b3ae3f283cdc2ddb9962808

Observation b6bbccec-8df0-4088-84b2-e677ef54029a · outbound

This paper cites Cari˜ nena and J.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Cari˜ nena and J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.304970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.764063Z digest=sha256:b6d4d4a43f5f81226d0af858e16327512f34fc94e1719fa097c0ce44917cd48f

Observation 3ea20284-85d6-4252-8b7d-ceff081a030a · outbound

This paper cites Cari˜ nena, J.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Cari˜ nena, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.286133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.768910Z digest=sha256:6c615ea171f8bee96058d95ffb6f6eedc5aaa9ebb0ba91fe669f8bdf7be1f8bc

Observation 9470a46e-db7f-4415-b97c-47fe9a54c098 · outbound

This paper cites an unresolved cited work.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:40.272979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.773237Z digest=sha256:bae98658023ad8d39cd5be174f5efc243d9526780ca8d27e7c744e72f3cb7f12

Observation 7c7db283-39c8-4566-b630-621849c8cd35 · outbound

This paper cites Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.258361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.778286Z digest=sha256:bce7e6ac07cae38c044842d17d2d3a9e36e728b872aab4ffe81660fc94e4beff

Observation 629ee274-867b-4825-92f1-f470e6b26580 · outbound

This paper cites Jacobi's Last Multiplier and Lagrangians for Multidimensional Systems.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Jacobi's Last Multiplier and Lagrangians for Multidimensional Systems

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:28:39.942573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.782389Z digest=sha256:94bd3a7aec2e8763e033f990476ead7e4cdb75b6984da4ff0dad3aae7065d6c6

Observation ecd7cadf-6c6a-4288-8159-05a4cc082bff · outbound

This paper cites Nonlinear Math.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Nonlinear Math

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.241342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.787670Z digest=sha256:81159042cd30219e1661ff2c243fbbe25548cbd756c0eb0de2a04c2ea7453cff

Observation 18ed37fc-dd1d-4eab-b027-89fc003f5c40 · outbound

This paper cites Ghose Choudhury, P.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Ghose Choudhury, P

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.225439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.793328Z digest=sha256:002f44c10878c192f9086a799d8091c50d83be731c79aa840f8d5f9f82abfc26

Observation 4235b8c1-1080-4ca9-8594-2a8a86dcef01 · outbound

This paper cites Ghose Choudhury and P.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Ghose Choudhury and P

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.207846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.797888Z digest=sha256:e89cf61fc69afa2d622fdcbcfeca39aa7fb03e8c6c0ed1fc96903be8bd560492

Observation 95546e31-2cc8-4eed-bd50-60962d237678 · outbound

This paper cites Ruan, Diffusion-driven instability in the Gierer-Meinhardt mode l of morphogenesis , Natural Resourse Modeling 11, no.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Ruan, Diffusion-driven instability in the Gierer-Meinhardt mode l of morphogenesis , Natural Resourse Modeling 11, no

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.189422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ae0717f0-7db5-44c7-84e4-821a467d7d2f · outbound

This paper cites Guha and A.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Guha and A

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:40.127323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.808140Z digest=sha256:e5857e12f4a16faa6af405aa6e5a64bf9124e58b211da91ed7ee915c1e4e3d3e

Observation ffa080ef-3d19-4b85-8164-0b5032c3a1b1 · outbound

This paper cites an unresolved cited work.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:40.029126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.823014Z digest=sha256:97105e0859cc3baed288918370b2b15a38150789cc65356e64e453dbd4bb43e0

Observation cbd7d940-7810-4704-9858-d6a9b939b1a2 · outbound

This paper cites Gierer and H.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Gierer and H

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:39.981896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.856036Z digest=sha256:9ea554da0f80218ffbe4a6b4c2b228f2b5758290aeaf5a024949f03c0b3084fc

Observation 46224b04-b4b9-46ad-8762-b703547d6496 · outbound

This paper cites Granero-Porati and A.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Granero-Porati and A

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:39.968031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.889574Z digest=sha256:8db06d0d03a2ae0f6153c7f2bef4d6ef03d799db1c26214dfadebe7f7bcf5665

Observation 1701f843-ad64-48df-b73b-9690ff64f6d8 · outbound

This paper cites Turing, The chemical basis of morphogenesis.

On a geometric description of time dependent singular Lagrangians with applications to biological systems Turing, The chemical basis of morphogenesis

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:39.955437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:39.894057Z digest=sha256:815693857a5952fb52296bd35bbf53212132576aa4066d8c606a9f65104e38f4

Pith citing papers

No inbound Pith citation observations are available.