Paper Citation Record · LEDGER

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature

As of 18 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2507.05777.

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

pith.paper-citation-record.v1
2507.05777 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:38:45.407588Z

measured 13 of 13 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

verified exact1
verified fuzzy4
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf7f019c-a265-4e4d-a3be-511645a259c1 · outbound

This paper cites an unresolved cited work.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:38:48.193866Z

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.

Observation 046aab4a-a469-4d94-b6c8-f5f1b33d6147 · outbound

This paper cites an unresolved cited work.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:38:47.999775Z

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.

Observation 4c58b966-7b8c-490d-9f02-a52146df1134 · outbound

This paper cites Fu and C.-K.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Fu and C.-K

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:38:47.768119Z

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.

Observation 352adbac-f60c-4bf7-ac8d-8e39a3f757da · outbound

This paper cites He, C.-K.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature He, C.-K

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:38:47.582865Z

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.

Observation 73c92312-89c9-428a-ae9a-307d67c8972d · outbound

This paper cites an unresolved cited work.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:38:47.311914Z

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.

Observation f29832df-ab11-4d7a-99a5-422a9b811e72 · outbound

This paper cites Iosevich, C.-K.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Iosevich, C.-K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:38:46.962978Z

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.

Observation 8dee0dcb-4faa-4195-a8e8-e768a1e8775b · outbound

This paper cites Non-spectrality of some piecewise smooth curves and unions of line segments.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Non-spectrality of some piecewise smooth curves and unions of line segments

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:38:45.634584Z

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.

Observation 15f7f25e-3720-450b-932c-32ebed82871e · outbound

This paper cites an unresolved cited work.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:38:46.646249Z

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.

Observation d7ad99d2-044b-4fad-a7a2-6bb64cc681c1 · outbound

This paper cites an unresolved cited work.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:38:46.366947Z

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.

Observation 0c40460c-e35c-4775-8cc8-78de3ee4cf64 · outbound

This paper cites Fourier Frames on Salem Measures.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Fourier Frames on Salem Measures

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T19:38:45.045808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34c7b22f-816f-4846-a902-0773a6e5cdb9 · outbound

This paper cites Nitzan, A.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Nitzan, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:38:46.129688Z

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.

Observation 371fb857-4e8d-4483-be38-fa92051d381e · outbound

This paper cites an unresolved cited work.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:38:45.943969Z

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.

Observation 0369c6b6-95cc-42ff-b6a0-6c75e35fb9fd · outbound

This paper cites an unresolved cited work.

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:38:45.849737Z

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.

Pith citing papers

No inbound Pith citation observations are available.