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Paper Citation Record · LEDGER

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework

As of 23 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2412.03725.

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

pith.paper-citation-record.v1
2412.03725 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:12:48.625088Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cb79ace8-2d2d-46b2-9561-55a55787f216 · outbound

This paper cites Hu, Jasmine Nirody, Terri Scott, and Michael J.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Hu, Jasmine Nirody, Terri Scott, and Michael J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:49.203755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.446291Z digest=sha256:73231d0b89ad2c268dba7d2b566325a25654b6c18ccae51b4426e95a79a4867c

Observation 20dea6a1-8a0b-4a8a-ab05-d227d28eef91 · outbound

This paper cites Slithering locomotion.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Slithering locomotion

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:49.180964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.453719Z digest=sha256:30c8ce8ed3663946e4ebf3e29862d05233cd9e535f59fc74f2e4ce52e5cc9e96

Observation 488970b1-1c18-42dd-8965-59c3d2771824 · outbound

This paper cites an unresolved cited work.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:12:49.156090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.460715Z digest=sha256:e4cb48e1bf58ce70c2e068c6072c0237bbe7de6070e145141d4c3f1c269c0ff6

Observation 38ffcedf-46c5-41aa-b5c0-955ff7381dfc · outbound

This paper cites Tingle, Kelsey L.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Tingle, Kelsey L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:49.132445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.466160Z digest=sha256:cde930aeb0f2a03981a48942eb016c5de3093685c8161cf46ce3b424ef685ad1

Observation e535636a-201f-464e-95f1-7b33abea48b5 · outbound

This paper cites Mathematical Biofluiddynamics.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Mathematical Biofluiddynamics

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:49.104701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.474574Z digest=sha256:cc35057a35da6cce871b556e45cc3094c4f6cf40e5123f9b3837606e68550bee

Observation 180bd963-e6e2-4acf-a846-5e2df8b65b00 · outbound

This paper cites an unresolved cited work.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:12:49.081079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.481734Z digest=sha256:53013b99efe103867f8953f6287be0a07324ba7e15afe9577e62448078539500

Observation 2d9a2607-0549-4377-85f4-cb8fb3e75dda · outbound

This paper cites Optimizing snake locomotion in the plane.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Optimizing snake locomotion in the plane

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:49.059469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.489457Z digest=sha256:54f6a504f56599f2026659b0f2cb0b53ae932e5807e13a386beb8d86bd42552e

Observation 573d5c26-d816-469f-a4da-2fc33e51cac2 · outbound

This paper cites Optimal propulsion of an undulating slender body with anisotropic friction.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Optimal propulsion of an undulating slender body with anisotropic friction

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:49.033655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.498544Z digest=sha256:8ca82c77eb60823d7cf855fbfd3a39e6fcde4c60fcba2f0f07d2a8adf7e0e304

Observation 09f79064-c15f-47c7-b5ec-1638434c4183 · outbound

This paper cites an unresolved cited work.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:12:49.005654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.505321Z digest=sha256:56b20886f86381a0e46a5925ba18d6e20505e0d340d1eb3a1f6db58ddc207d07

Observation 666e275c-0257-4d44-b8d6-b2e15f79038a · outbound

This paper cites Osborne, and Silas Alben.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Osborne, and Silas Alben

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:48.980251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.519099Z digest=sha256:5e039f79007438fadbb6c7ab8af4fe92db8b8bd6bfa3e11001e24ccbc4ce2d3a

Observation 161a8532-9311-4ba6-a05b-d28ed379d6c4 · outbound

This paper cites Gray and G.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Gray and G

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:48.960142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.531634Z digest=sha256:b34393dc55eabbbb1a1472425620c92b807d36180128ed268f51870fd684b7d7

Observation cd71e2bc-ca09-45b6-9482-1e31e78397e6 · outbound

This paper cites an unresolved cited work.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:12:48.932666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.541992Z digest=sha256:fa8cca28fbd91d5305270c9e15f56f0c13aa05cf0b2ea17c731ac0d69f5be3aa

Observation c00519a4-a116-40cf-aa57-96af536ba319 · outbound

This paper cites Theoretical Models of Low-Reynolds-Number Locomotion.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Theoretical Models of Low-Reynolds-Number Locomotion

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:48.912465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.552920Z digest=sha256:bb767411781b78a4d238b5157dd4842113e1c3fb53dc7ac67a3aad01e245625b

Observation 5ebfd3a7-9c9c-42e6-86f8-f52ba910971f · outbound

This paper cites Swimming with a cage: low-reynolds-number locomotion inside a droplet.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Swimming with a cage: low-reynolds-number locomotion inside a droplet

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:48.885058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.559073Z digest=sha256:d4ba5d230c28faeab24b8c5704f3ae5073ecdda550fbec6e2bae670716b0cbd8

Observation 41bf4b63-d183-4883-9a65-94c4fa0dd550 · outbound

This paper cites Montenegro-Johnson, David A.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Montenegro-Johnson, David A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:48.859581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.564976Z digest=sha256:b339312a0d7b1e8e1af5f074afa5bae4d93dd11f547d173542608165cb03c41b

Observation b73aa452-e5f5-4f64-969d-2904fd8ede86 · outbound

This paper cites Maladen, Yang Ding, Chen Li, and Daniel I.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Maladen, Yang Ding, Chen Li, and Daniel I

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:48.838019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.572598Z digest=sha256:a7cd2e405717ed23c50db72c2b14e90ad961b7848615d6ccef7eed8fd3c85706

Observation fdae7edc-60bb-41ad-b8ac-f0eeb0f0501b · outbound

This paper cites an unresolved cited work.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:12:48.818561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.578825Z digest=sha256:958c140b4576e9ee6589608bdc3a67466a005d836c622e7159f0a43bf71f8e53

Observation 54fddcaa-5b6c-441e-8fb7-3c32eba978c8 · outbound

This paper cites an unresolved cited work.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:12:48.783954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.585582Z digest=sha256:779e49ac53c46135b3225a345f55c113ebecae3750c8ee3d75605015874da47c

Observation 4a8218a3-fe0d-4f92-b6ad-60d2de2d02aa · outbound

This paper cites an unresolved cited work.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:12:48.758112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.592296Z digest=sha256:6c8312da9b86c7751743633876d3c726b1dfab07aa39c7362bd9f116421e73a5

Observation 634f183b-3f54-4e1f-babe-3a4b8f983be1 · outbound

This paper cites Secor, Bruce C.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Secor, Bruce C

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:48.739827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.602667Z digest=sha256:390eb80a143751cfe01b2a2e174c486394a48f81b95f28a42d4399379be900de

Observation 43f2ab12-8b03-4b42-88fc-ba9728d1b6cf · outbound

This paper cites Maladen, Yang Ding, Chen Li, and Daniel I.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Maladen, Yang Ding, Chen Li, and Daniel I

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:48.716074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.608959Z digest=sha256:84459f42ae73eea9f61e85a8a1d08d2c84f52aeb4caf0eebfa7e74edcdfbc8b4

Observation e279e5fa-6fea-40ba-97bf-1ea4bb3ca66c · outbound

This paper cites Friction modulation in limbless, three-dimensional gaits and heterogeneous terrains.

Optimal Snake Locomotion on Flat Surfaces: An Analytical Framework Friction modulation in limbless, three-dimensional gaits and heterogeneous terrains

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:12:48.685006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T22:12:48.625088Z digest=sha256:e4aca3e2c44a906b7afdc3727dde157d0b2d972f1a258f621d739f507a1cfae3

Pith citing papers

No inbound Pith citation observations are available.