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Paper Citation Record · LEDGER

On the large-time asymptotics of the defocusing mKdV equation with step-like initial data

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2204.01299.

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

pith.paper-citation-record.v1
2204.01299 v5

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 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:58:39.145142Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:29:54.170479Z

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 6cef6cc7-cb7b-433b-b681-c856860b630a · inbound

Long-time asymptotics of the defocusing mKdV equation with step initial data cites this paper.

Long-time asymptotics of the defocusing mKdV equation with step initial data On the large-time asymptotics of the defocusing mKdV equation with step-like initial data

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T11:58:39.145142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:58:39.145142Z digest=sha256:9ebd855fbcdf1eb3cd97e9b1faab35deaf560f066aba24a170cc0893b8ebb307

Observation c30ba2c2-7800-4271-a926-2f5f7889fb72 · inbound

Painlev\'e \uppercase\expandafter{\romannumeral34\relax} and collisionless shock in the defocusing NLS equation with step-like initial data in the transition regions cites this paper.

Painlev\'e \uppercase\expandafter{\romannumeral34\relax} and collisionless shock in the defocusing NLS equation with step-like initial data in the transition regions On the large-time asymptotics of the defocusing mKdV equation with step-like initial data

Reference 54

Resolution
verified exact
arxiv_id, observed 2026-07-28T03:23:12.649477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T03:41:09.852382Z digest=sha256:c00311465e4ebcb386125a2c7383a29170020707647674a15d1e2fe3f675a341