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Paper Citation Record · LEDGER

Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2402.04122.

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

pith.paper-citation-record.v1
2402.04122 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:03:26.157699Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T14:41:46.079809Z

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 eb1c9d3e-9e5e-4545-9456-c752d8302e41 · inbound

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations cites this paper.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:41:46.084597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.100110Z digest=sha256:7742b2812db20f52b320c6988f30fd76bf6fdbafd5f7c60f4ed47d4bf6b1b2c9

Observation b9b40f81-5dcf-4944-a59a-9d46eb3ceafb · inbound

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets cites this paper.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-16T11:03:26.157699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:03:26.157699Z digest=sha256:08084f243098b040ca967e25ee3514d399b4497f2b4f9d758d7978b354bd0588

Observation 4c68d96f-a91e-4c93-a749-001b599021c9 · inbound

Almost Global Solutions of Kirchhoff Equation cites this paper.

Almost Global Solutions of Kirchhoff Equation Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-16T04:33:36.867681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:33:36.867681Z digest=sha256:02e33323eaba5bd275db7eda41c6703f6be9f0f1af10ba730c4c7bfa8e4356a5

Observation 841a5628-0b5e-4958-9209-1f47d8db4a82 · inbound

On almost periodic solutions to NLS without external parameters cites this paper.

On almost periodic solutions to NLS without external parameters Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T21:27:17.737295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:27:17.737295Z digest=sha256:959be6b01bddf9f5674c96fcdb3f8c14b69a95f26df43dbf71aa6ed49fa5f506