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Paper Citation Record · LEDGER

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

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2201.03140.

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

pith.paper-citation-record.v1
2201.03140 v3

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 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:02:27.595248Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T02:27:34.605124Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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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 cee0277a-d9b9-4909-9c4a-ee574240e92e · inbound

Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates cites this paper.

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=sha256:51a529b8db197e60b25dccf89f58753ba98abd2d0e89fc62d32400ba22676189

Observation 8618054e-dd30-4746-816d-1aaa0507771b · inbound

The effect of geometric focusing on dispersive estimates for the Schr\"odinger and wave equations cites this paper.

The effect of geometric focusing on dispersive estimates for the Schr\"odinger and wave equations Propagation of singularities and Fredholm analysis for the time-dependent Schr\"odinger equation

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-07-03T02:27:34.606589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:9f6fcd7f5d863708ef588aa17a809065993eae5c621f4e4236ff2ab961157842