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Paper Citation Record · LEDGER

Non-relativistic limit for the cubic nonlinear Klein-Gordon equations

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2309.10235.

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

pith.paper-citation-record.v1
2309.10235 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:01:36.762762Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-04T21:01:04.539227Z

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 243bf1e6-e6ed-415c-8f54-9998a60b19ed · inbound

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime cites this paper.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Non-relativistic limit for the cubic nonlinear Klein-Gordon equations

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-12T17:01:36.762762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T17:01:36.762762Z digest=sha256:e05f067975e7292043d9969c0aeca83fce7a47ffd3975e7f6905641e5ac6aedc

Observation f16b9e0c-6d21-476b-8491-b546178b712f · inbound

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation cites this paper.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Non-relativistic limit for the cubic nonlinear Klein-Gordon equations

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:01:04.596269Z

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.

source=pdf_text observed=2026-08-04T21:01:04.427800Z digest=sha256:ba154166178d9854fceef6f921a30604b3ad804db7e53ff3ab1005fb2a1aed17

Observation a3e98306-4977-4804-98b8-c17be7fb6378 · inbound

Optimal convergence rates of the Klein-Gordon-Schr\"odinger system in the nonrelativistic limit cites this paper.

Optimal convergence rates of the Klein-Gordon-Schr\"odinger system in the nonrelativistic limit Non-relativistic limit for the cubic nonlinear Klein-Gordon equations

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T16:29:38.344559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:29:38.344559Z digest=sha256:0b753542aadef2982507e3a4f7d12041c3637e4cf5993e5a543ee3e03e99dc6d