Paper Citation Record · LEDGER

Nonlinear oscillations of strings and beams

As of 14 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2508.19091.

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

pith.paper-citation-record.v1
2508.19091 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:02:34.823498Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

31 of 31 outbound references displayed

verified exact14
verified fuzzy10
unresolved5
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 624cd21c-9084-440c-8a25-fbfa409ad56a · outbound

This paper cites Bauchau and James I.

Nonlinear oscillations of strings and beams Bauchau and James I

Reference 1

Resolution: verified exact; doi, observed 2026-08-05T16:02:35.006611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b0d99f6b-3906-40b2-a73d-e350c845f2f5 · outbound

This paper cites Landau and Evgeny M.

Nonlinear oscillations of strings and beams Landau and Evgeny M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:02:35.215896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0738959c-40ed-477c-9545-084051834906 · outbound

This paper cites Lazer and Patrick J.

Nonlinear oscillations of strings and beams Lazer and Patrick J

Reference 3

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.997759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e6bba81c-bc52-4c45-9e6c-6415f83457a1 · outbound

This paper cites Heung Choi and Tacksun Jung.

Nonlinear oscillations of strings and beams Heung Choi and Tacksun Jung

Reference 4

Resolution: malformed identifier; doi_truncated, observed 2026-08-05T16:02:34.989018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1a3ea554-6d9a-4de6-af1a-5efec19f0b7d · outbound

This paper cites Fundamentals of nanomechanical resonators, volume 49.

Nonlinear oscillations of strings and beams Fundamentals of nanomechanical resonators, volume 49

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:02:35.206540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7870d4db-6cee-4d2b-8295-5054bb4f81a9 · outbound

This paper cites Nonlinear dynamics of nanomechanical beam resonators: improving the performance of NEMS- based sensors.

Nonlinear oscillations of strings and beams Nonlinear dynamics of nanomechanical beam resonators: improving the performance of NEMS- based sensors

Reference 6

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.979324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 27ec82c3-ad71-4e89-ab00-3f8215d30f44 · outbound

This paper cites Nonlinear Oscillations.

Nonlinear oscillations of strings and beams Nonlinear Oscillations

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:02:35.197663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 00c586e3-4919-4e29-885e-102cc420a35a · outbound

This paper cites Nonlinear oscillations of Hamilto- nian PDEs , volume 74 of Progress in Nonlinear Differ- ential Equations and Their Applications.

Nonlinear oscillations of strings and beams Nonlinear oscillations of Hamilto- nian PDEs , volume 74 of Progress in Nonlinear Differ- ential Equations and Their Applications

Reference 8

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.969811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a9ed5ee2-72b7-4bfd-a54f-07866e7fd280 · outbound

This paper cites Cantor families of periodic solutions for wave equations via a variational principle.

Nonlinear oscillations of strings and beams Cantor families of periodic solutions for wave equations via a variational principle

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:02:35.188858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 25e3a28b-716f-41bb-b88f-089d9192d9d3 · outbound

This paper cites Periodic solutions of the equation utt− uxx + u3 = 0.

Nonlinear oscillations of strings and beams Periodic solutions of the equation utt− uxx + u3 = 0

Reference 10

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.950434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 80b4a165-2aac-4264-85e5-9d4cb9a5c216 · outbound

This paper cites Periodic Solutions for Completely Resonant Nonlinear Wave Equations with Dirichlet Boundary Conditions.

Nonlinear oscillations of strings and beams Periodic Solutions for Completely Resonant Nonlinear Wave Equations with Dirichlet Boundary Conditions

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:02:35.180105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9d4db3d2-25f3-42e1-94e2-448d825c32d8 · outbound

This paper cites Periodic solutions for a class of nonlinear partial differential equations in higher dimension.

Nonlinear oscillations of strings and beams Periodic solutions for a class of nonlinear partial differential equations in higher dimension

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:02:35.171433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation df192e1a-c781-40ae-892a-2daee84c3c24 · outbound

This paper cites Families of Peri- odic Solutions of Resonant PDEs.

Nonlinear oscillations of strings and beams Families of Peri- odic Solutions of Resonant PDEs

Reference 13

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.931182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c48fee15-5f93-489e-9c3b-a9a5d00ca0a3 · outbound

This paper cites Families of Periodic So- lutions for Some Hamiltonian PDEs.

Nonlinear oscillations of strings and beams Families of Periodic So- lutions for Some Hamiltonian PDEs

Reference 14

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.921655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ced23bee-39be-4082-b310-d545868a5fd9 · outbound

This paper cites Periodic solutions of a class of weakly nonlinear evolution equations.

Nonlinear oscillations of strings and beams Periodic solutions of a class of weakly nonlinear evolution equations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:02:35.162382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 60b24710-4e94-47b5-8b41-28df730f921c · outbound

This paper cites KAM for the nonlinear beam equation 1: small-amplitude solutions.

Nonlinear oscillations of strings and beams KAM for the nonlinear beam equation 1: small-amplitude solutions

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-05T16:02:35.117153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fc81d768-8ba9-48ed-8e4c-60246a781542 · outbound

This paper cites Periodic solutions of beam equations with symmetry.

Nonlinear oscillations of strings and beams Periodic solutions of beam equations with symmetry

Reference 17

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.912206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4b93ef6a-9922-47d5-ae01-235ae314a3fc · outbound

This paper cites an unresolved cited work.

Nonlinear oscillations of strings and beams Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:02:35.153519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b4dbbfe2-4e40-465f-9a81-9942bd53b456 · outbound

This paper cites Periodic solutions for the 1D cubic wave equation with Dirichlet bound- ary conditions.

Nonlinear oscillations of strings and beams Periodic solutions for the 1D cubic wave equation with Dirichlet bound- ary conditions

Reference 19

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.902516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 287a8f5d-6579-4304-9d1a-3538ee045ff7 · outbound

This paper cites Trees, trunks, and branches -- bifurcation structure of time-periodic solutions to $u_{tt}-u_{xx}\pm u^{3}=0$.

Nonlinear oscillations of strings and beams Trees, trunks, and branches -- bifurcation structure of time-periodic solutions to $u_{tt}-u_{xx}\pm u^{3}=0$

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-05T16:02:34.795753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 269cff81-3134-40c7-b1ec-8c31315c3bcf · outbound

This paper cites Ordinary Differential Equations and Dy- namical Systems , volume 140 of Graduate Studies in Mathematics.

Nonlinear oscillations of strings and beams Ordinary Differential Equations and Dy- namical Systems , volume 140 of Graduate Studies in Mathematics

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T16:02:34.798819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6917489b-dcb6-446e-8fce-e61c80296c49 · outbound

This paper cites Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations.

Nonlinear oscillations of strings and beams Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T16:02:34.801854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5618c413-8435-4f03-ab55-04e4e24e3959 · outbound

This paper cites In preparation, 2025.

Nonlinear oscillations of strings and beams In preparation, 2025

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:02:35.145209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4738e929-72cf-4d8f-a24a-e580a68c2cf0 · outbound

This paper cites New class of time- periodic solutions to the 1D cubic wave equation.

Nonlinear oscillations of strings and beams New class of time- periodic solutions to the 1D cubic wave equation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:02:35.136205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 041ed9e6-18b6-4475-995e-4ec9eb058351 · outbound

This paper cites Instability of Flat Space Enclosed in a Cavity.

Nonlinear oscillations of strings and beams Instability of Flat Space Enclosed in a Cavity

Reference 25

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.863686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ee0b4f39-5dcf-4277-9569-269f80f4de12 · outbound

This paper cites Time- Periodic Solutions in an Einstein AdS–Massless- Scalar-Field System.

Nonlinear oscillations of strings and beams Time- Periodic Solutions in an Einstein AdS–Massless- Scalar-Field System

Reference 26

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.853634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f939320e-2335-40bf-9cb7-61aeb1d14d78 · outbound

This paper cites Complex structure of time-periodic solutions decoded in Poincar´ e-Lindstedt series: the cubic conformal wave equation on S3.

Nonlinear oscillations of strings and beams Complex structure of time-periodic solutions decoded in Poincar´ e-Lindstedt series: the cubic conformal wave equation on S3

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:02:35.126989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4613754e-64e5-4b99-97f9-9088c4d9953d · outbound

This paper cites doi:10.1007/s00220-004-1255-8.

Nonlinear oscillations of strings and beams doi:10.1007/s00220-004-1255-8

Reference 2005

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.940956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b24cdb43-4035-4bc1-bba4-761746e2d46c · outbound

This paper cites an unresolved cited work.

Nonlinear oscillations of strings and beams Unresolved cited work

Reference 2008

Resolution: verified exact; doi, observed 2026-08-05T16:02:34.960197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 33d1a2c7-8a78-4df4-90b2-fe9d9b4b641d · outbound

This paper cites New class of time-periodic solutions to the 1D cubic wave equation.

Nonlinear oscillations of strings and beams New class of time-periodic solutions to the 1D cubic wave equation

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-05T16:02:34.810895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77f1234f-7c0a-453c-ac3a-db82334ff1d8 · outbound

This paper cites an unresolved cited work.

Nonlinear oscillations of strings and beams Unresolved cited work

Reference 2789

Resolution: metadata mismatch; raw_fallback, observed 2026-08-05T16:02:35.104793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.