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Paper Citation Record · LEDGER

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods

As of 22 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2605.14702.

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

pith.paper-citation-record.v1
2605.14702 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T20:00:16.781860Z

measured 30 of 30 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

30 of 30 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 60032cf6-8759-4790-a7f1-e3d3322e9a49 · outbound

This paper cites This procedure yields a Stuart-Landau amplitude equation for the critical oscillatory mode, with Landau coefficients that we determine explicitly.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods This procedure yields a Stuart-Landau amplitude equation for the critical oscillatory mode, with Landau coefficients that we determine explicitly

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:08.045733Z

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=2026-06-30T20:00:16.781860Z digest=sha256:c4604295f50ac602edaf1f527517548282a207e632afb058e36e5c318cb158a7

Observation 887ff0e0-a3e3-42ea-aa1b-39cf164562b7 · outbound

This paper cites We have presented this figure in [10].

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods We have presented this figure in [10]

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:08.027182Z

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=2026-06-30T20:00:16.781860Z digest=sha256:5febf2232ccbfced08691c5c641f01d58eaa60f9ee0e04d1936c5235e8122df6

Observation 5f833fb4-2ed3-4934-b4e7-5eddce8b339f · outbound

This paper cites θ(1)(u, t) = ˜AΘ(u)eiωct + c.c.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods θ(1)(u, t) = ˜AΘ(u)eiωct + c.c

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:08.049890Z

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=2026-06-30T20:00:16.781860Z digest=sha256:b3b63b566bb09ae06960e4044ed12a3a3a91251fcad525a756569d716c27c9d5

Observation 4b2dd604-7615-41c7-af46-396c45a13814 · outbound

This paper cites an unresolved cited work.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-07T22:04:07.973142Z

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=2026-06-30T20:00:16.781860Z digest=sha256:c0c75311e355ada57341e296a726db5104e0c1f8d744af7e16833d029449aa2d

Observation a78325e9-5d14-4059-96c3-700e0d9f5376 · outbound

This paper cites Laskar, R.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Laskar, R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:08.022616Z

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=2026-06-30T20:00:16.781860Z digest=sha256:02a32aa4ae4511ec9228625325f3915a5121af26b73192765972b409edf21404

Observation a9f6803b-557f-4d5a-998e-2961b4da072f · outbound

This paper cites an unresolved cited work.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-07-07T22:04:08.053162Z

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=2026-06-30T20:00:16.781860Z digest=sha256:ed03af037f9ecfde1861b436951d660cbf5c7158f0634de84323ba742212ab28

Observation 737adee0-d0ca-4018-90ce-9779a6e2c013 · outbound

This paper cites an unresolved cited work.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-07-07T22:04:08.006657Z

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=2026-06-30T20:00:16.781860Z digest=sha256:e9845488616e91592b8d5b4eabd5d13b7941a6f4629c258913492a9a11a68f01

Observation d92d4e29-cbfc-4252-92f1-8ad5f2d6c20b · outbound

This paper cites Ranzani, M.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Ranzani, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:07.980310Z

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=2026-06-30T20:00:16.781860Z digest=sha256:83566a5d0068f4161d739cc4315d1db62d40f57a1531544c46d3e62553d90130

Observation 5ac7eee4-7050-443a-a34a-acf42bfdfb97 · outbound

This paper cites Campisano, A.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Campisano, A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:08.056200Z

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=2026-06-30T20:00:16.781860Z digest=sha256:cd76df9b16253dbce999e26435c52382894cba16c001f3c7c86f3cf059b60aa3

Observation bec1f309-3262-4eea-9b74-3e2521b14030 · outbound

This paper cites Boyer, V.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Boyer, V

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:07.950510Z

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=2026-06-30T20:00:16.781860Z digest=sha256:271a31a0eb1faef482d473a1979104dc5a7b1576a97f09aa5cdf07d24d388c56

Observation 6edac58f-46ce-4b1f-b6e9-db655a6fcd79 · outbound

This paper cites Tekinalp, Y.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Tekinalp, Y

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:08.010681Z

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=2026-06-30T20:00:16.781860Z digest=sha256:d7faa778f9fbb6ab3f944aad80bcd4fba28cc5688e1ae09814890fdbad399572

Observation c286b95e-b2e5-4141-bcc3-13d6c24c545f · outbound

This paper cites Laskar and R.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Laskar and R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:07.985052Z

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=2026-06-30T20:00:16.781860Z digest=sha256:36cce3e7b43d43e7c6c920f33d6157df76268dcdb5163d76ad1f065e09605ee2

Observation 689a7753-9caa-4adb-8d56-4baae9db67fb · outbound

This paper cites Clarke, Y.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Clarke, Y

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:08.014374Z

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=2026-06-30T20:00:16.781860Z digest=sha256:496240d975c6134818c03b7022531a0c88d69ddb33b4ce588111a10878ac81b0

Observation 7754ef5e-6d94-42da-938a-7e3d5645d094 · outbound

This paper cites Warda and R.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Warda and R

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:07.942983Z

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=2026-06-30T20:00:16.781860Z digest=sha256:e3cba23737e414b7da2f9700a7e3f25bc26c41d64a0060415c1dd88789ec1cff

Observation 91bbfb95-f00c-4b38-815b-be1ed3d68a17 · outbound

This paper cites Schnitzer, Onset of spontaneous beating and whirling in the follower force model of an active filament, J.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Schnitzer, Onset of spontaneous beating and whirling in the follower force model of an active filament, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:07.961378Z

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=2026-06-30T20:00:16.781860Z digest=sha256:b6f959e89195cccccc64b42dc2665efa4d9ce125689ed3f8b06804329a3d31c2

Observation 1d813fcd-e175-4280-9296-ccfac4413e12 · outbound

This paper cites Beck, Die knicklast des einseitig eingespannten, tangential gedrückten stabes, Z.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Beck, Die knicklast des einseitig eingespannten, tangential gedrückten stabes, Z

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:07.954286Z

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=2026-06-30T20:00:16.781860Z digest=sha256:aac423a4fdbb6bf67543056c9ff3a3aba207a726075a146176211b3b23d23202

Observation 07de7b21-e9cd-4a55-a933-e3705c926a1f · outbound

This paper cites an unresolved cited work.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-07-07T22:04:08.002660Z

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=2026-06-30T20:00:16.781860Z digest=sha256:182340f5f16d9fe64efabc7b37ee823b5fecf47b41625d58dc8633ffd75ba18a

Observation eeb3bdee-a185-4308-ba8e-46dacaf8a595 · outbound

This paper cites Ziegler,Principles of Structural Stability(Blaisdell Publishing Company, Waltham, MA, 1968).

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Ziegler,Principles of Structural Stability(Blaisdell Publishing Company, Waltham, MA, 1968)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:07.947468Z

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=2026-06-30T20:00:16.781860Z digest=sha256:c3e8c75d2946d334ee7815bf1e14011f998a1910ea2723f9ee2634ebbe1d5b0f

Observation 2e8a86dd-c93e-4556-a7e9-ce57758afeb2 · outbound

This paper cites Carr and M.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Carr and M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:08.030896Z

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=2026-06-30T20:00:16.781860Z digest=sha256:dcb8971bcc14f545c5e2161056d3e38294b32747fdfcade1199c86f11d566c29

Observation 92eac4b8-2cd6-43da-bce7-ff6c6f37dfe6 · outbound

This paper cites Chen, Hopf bifurcation in Beck’s problem, Nonlinear Analysis: Theory, Methods & Applications11, 1061 (1987).

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Chen, Hopf bifurcation in Beck’s problem, Nonlinear Analysis: Theory, Methods & Applications11, 1061 (1987)

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:07.965459Z

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=2026-06-30T20:00:16.781860Z digest=sha256:dc6f27c1ad227b2ec7fcfd3810cc43bdb9e3349d2579eebf3d8bd842daa88701

Observation 6dcf257e-de26-4004-8325-3c0005e23f7e · outbound

This paper cites an unresolved cited work.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-07-07T22:04:07.976673Z

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=2026-06-30T20:00:16.781860Z digest=sha256:39a290f47f8cca5f1eda09144e6684b02036b8b91d29a734e8b6f1455dd3d7d9

Observation 1e69c3a2-870f-4aed-8360-ab38bb55e898 · outbound

This paper cites Wang, A comprehensive stability analysis of a cracked beam subjected to follower compression, Int.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Wang, A comprehensive stability analysis of a cracked beam subjected to follower compression, Int

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:07.998195Z

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=2026-06-30T20:00:16.781860Z digest=sha256:19b24ad4e22ba6f0ce6e51b2cbfb48b93c5e990ff6afa73988f45a3a705304c8

Observation 154ca59e-2750-454f-acce-43da863aa99e · outbound

This paper cites an unresolved cited work.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-07-07T22:04:08.041702Z

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=2026-06-30T20:00:16.781860Z digest=sha256:9a5fdd8e2897245eb84d38d60725770ecc02c3d712c39a41870b9cba48e79303

Observation 18e419d2-1aea-4c28-9d33-975d0b8c3678 · outbound

This paper cites an unresolved cited work.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-07-07T22:04:08.037919Z

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=2026-06-30T20:00:16.781860Z digest=sha256:4ca62addcc8e3240a961a44a03c32b7afe082b4440fde548792dd804f5e86885

Observation be402e46-11de-476d-8c81-403d84f27b1d · outbound

This paper cites an unresolved cited work.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-07-07T22:04:08.034264Z

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=2026-06-30T20:00:16.781860Z digest=sha256:74684adc5b9f28603862168feca85a7c65118c0ae82c92e7791de9d815345337

Observation 2701feae-13a4-4b1e-bb61-28d109cfbd37 · outbound

This paper cites Barkley, Linear analysis of the cylinder wake mean flow, Europhysics Letters75, 750 (2006).

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Barkley, Linear analysis of the cylinder wake mean flow, Europhysics Letters75, 750 (2006)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:08.018640Z

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=2026-06-30T20:00:16.781860Z digest=sha256:6230fec39bd80eb696c36789074e5973ca94406abb46f4939fe96821f87c2af4

Observation 21c023ae-56cb-4489-88fe-2f65c7492508 · outbound

This paper cites Tchoufag, D.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Tchoufag, D

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T22:04:07.969571Z

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=2026-06-30T20:00:16.781860Z digest=sha256:a30f3f7b62c914f5597fcb35e9321092ee2f8f0defc7d829e21a55e5aedd8aaf

Observation a228e3b5-0ef0-4138-bac0-6ebabc58c2cd · outbound

This paper cites an unresolved cited work.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-07-07T22:04:07.988832Z

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=2026-06-30T20:00:16.781860Z digest=sha256:60418229b04339720bd22f3ebaef6e7d8fa554ca4eb35128aed595daf0a73baa

Observation 4073df5c-039e-49f9-a29b-3a75fe4878bb · outbound

This paper cites an unresolved cited work.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-07-07T22:04:07.958072Z

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=2026-06-30T20:00:16.781860Z digest=sha256:56fd373c9814c3fb23e7af4cdd642ec86feb1ed997e35b323bf0e357467a0a81

Observation d6c64b5d-5245-4bd8-afdd-f221a93089ad · outbound

This paper cites an unresolved cited work.

Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-07-07T22:04:07.993850Z

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=2026-06-30T20:00:16.781860Z digest=sha256:400561a0f207e8ddb13962eeae0f07e180a5a0dd1184477833eba0f07c0fbc36

Pith citing papers

No inbound Pith citation observations are available.