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Paper Citation Record · LEDGER

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

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2408.05158.

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

pith.paper-citation-record.v1
2408.05158 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:02:34.795753Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T15:39:30.147483Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

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

Nonlinear oscillations of strings and beams cites this paper.

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.

source=pdf_text observed=2026-08-05T16:02:34.795753Z digest=sha256:3b7412b87018c23bf84caa34609c1cda6bfb7c66c59a796ea3059098fc49aea0

Observation 7e6b0a81-1a21-4d97-84fd-ab79950a51c4 · inbound

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder cites this paper.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Trees, trunks, and branches -- bifurcation structure of time-periodic solutions to $u_{tt}-u_{xx}\pm u^{3}=0$

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-05T15:39:30.152491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:39:29.949696Z digest=sha256:480d685fe27a9f5b51aeed4942599d2ab31c4e2e2a0e2df761d8e00282bb1d2c