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Paper Citation Record · LEDGER

Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates

As of 9 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 2 inbound Pith citation observations for arXiv:2509.09518.

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

pith.paper-citation-record.v1
2509.09518 v1

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:02:27.711610Z

measured 7 of 7 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 2026-05-10T02:52:22.467535Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T13:51:02.790420Z

Reference resolution

5 of 5 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2be02544-3354-4ef6-85bb-a6099df16435 · outbound

This paper cites Hydrogen-like Schr\"odinger Operators at Low Energies.

Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates Hydrogen-like Schr\"odinger Operators at Low Energies

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T19:02:27.644930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:02:27.644930Z digest=sha256:a9818d968be23539ef9abf1886b75d182bc9665972c6de27fe89851405a9dacb

Observation 1697d3ee-e783-4202-a3c3-165bb9957a17 · outbound

This paper cites Massive wave propagation near null infinity.

Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates Massive wave propagation near null infinity

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T19:02:27.711610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:02:27.711610Z digest=sha256:5cc5adfd92e2e4ed818d2e71c80cf5490ac0abdb499a464a3a949b8fe77777a0

Observation cee0277a-d9b9-4909-9c4a-ee574240e92e · outbound

This paper cites Propagation of singularities and Fredholm analysis for the time-dependent Schr\"odinger equation.

Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates Propagation of singularities and Fredholm analysis for the time-dependent Schr\"odinger equation

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-04T19:02:27.595248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:02:27.595248Z digest=sha256:656644cdf4dc82ebdf9c75aaff2c617f1a36e9778fd8c169b2171307defae26e

Observation 28a45b39-d26b-4e9a-b32a-200a996b1d61 · outbound

This paper cites Dirac operators and local invariants on perturbations of Minkowski space.

Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates Dirac operators and local invariants on perturbations of Minkowski space

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-04T19:02:27.543193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:02:27.543193Z digest=sha256:02ba1efc17d899af2056e10cc957d563e835b0e16d97ef037cda031f45bb9f5f

Observation 5f41f606-c023-418a-9e30-19bb2c7faad9 · outbound

This paper cites The Klein-Gordon equation on asymptotically Minkowski spacetimes: causal propagators.

Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates The Klein-Gordon equation on asymptotically Minkowski spacetimes: causal propagators

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-04T19:02:27.500974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:02:27.500974Z digest=sha256:9f2cadb5802dfa6f898a6ca57f4bc2de25622d4d96c23e3fa95b1f82c5ba5862

Pith citing papers

Observation ea165b52-9726-4ab1-aba9-5f6a7e347133 · inbound

Lecture notes on non-elliptic Fredholm theory cites this paper.

Lecture notes on non-elliptic Fredholm theory Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-10T02:53:29.329197Z

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=2026-05-10T02:52:22.467535Z digest=sha256:59d7bd29734641d48d7351aa0cd5095d7da1ff427c4ee61dba18416d1886a27f

Observation b5b6e6dc-f439-4735-8d22-3f2f09c325e4 · inbound

Determining metrics from the scattering map of the time-dependent Schr\"odinger equation cites this paper.

Determining metrics from the scattering map of the time-dependent Schr\"odinger equation Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-11T13:51:02.793586Z

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=2026-05-10T00:30:00.200013Z digest=sha256:2d732060929391a3ac35f8a3c9c537e47d9340e67614690707cc3baf8e56a296